​

• List of publications

• 2017

• Accepted Papers

• Yang, X. J., Gao, F., Machado, J. A., Baleanu, D. (2017). A new fractional derivative involving the normalized sinc function without singular kernel. The European Physical Journal Special Topics, Accepted.(SCI)

• Mohyud-Din, S. T., Khan, S. I., Khan, U., Ahmed, N., & Xiao-Jun, Y. (2017). Squeezing Flow of MHD Fluid between Parallel Disks. International Journal for Computational Methods in Engineering Science and Mechanics, (just-accepted)

• Yang, X. J.,  New rheological problems involving general fractional derivatives within nonsingular power-law kernel, Proceedings of the Romanian academy, Series A, in press.(SCI)

• Z. Rahimi, G. Rezazadeh, W. Sumelka, Yang X.-J., A study of critical point instability of micro and nano beams under a distributed variable-pressure force in the framework of the inhomogeneous non-linear nonlocal theory, Archives of Mechanics, In press.(SCI)

• Yang, X. J., Gao, F., Srivastava, H. M. (2017). A new computational approach for solving nonlinear local fractional PDEs. Journal of Computational and Applied Mathematics. DOI: DOI: 10.1016/j.cam.2017.10.007.(SCI)

• Gao, F., Yang, X. J. H. M. Srivastava, Exact traveling-wave solutions for linear and nonlinear heat-transfer equations, Thermal Science, 21(6), DOI: 10.2298/TSCI161013321G (SCI)

• Liang, X., Gao, F., Su, S. J., Wang, Z., Yang, X. J. (2017). Classifications and duality relations for several integral transforms. Journal of Nonlinear Sciences & Applications, In press (二区).

​

2017 

• Rahimi, Z., Sumelka, W., Yang, X. J. (2017). A new fractional nonlocal model and its application in free vibration of Timoshenko and Euler-Bernoulli beams. The European Physical Journal Plus, 132(11), 479. (SCI)

• Yang, X. J., Machado, J. T., Cattani, C., Gao, F. (2017). On a fractal LC-electric circuit modeled by local fractional calculus. Communications in Nonlinear Science and Numerical Simulation, 47, 200-206. (SCI)(ESI Highly Cited Paper) 

• Yang, X. J., Gao, F., Srivastava, H. M., Non-differentiable exact solutions for the nonlinear ODEs defined on fractal sets. Fractals, 2017, 25(4), 1740002 (9 pages). (SCI)

• Yang, X. J. (2017). A new integral transform operator for solving the heat-diffusion problem. Applied Mathematics Letters, 64, 193-197.(SCI) (ESI Highly Cited Paper)

• Yang, X. J., Gao, F., Srivastava, H. M., (2017). Exact travelling wave solutions for the local fractional two-dimensional Burgers-type equations, Computers and Mathematics with Applications, 73, 203–210.(SCI) (ESI Highly Cited Paper, Hot Paper)

• Yang, X. J., Machado, J. T., Baleanu, D. On exact traveling-wave solution for local fractional Boussinesq equation in fractal domain. Fractals, 2017, 25(4), 1740006 (7 pages). (SCI) (ESI Highly Cited Paper, Hot Paper)

• Yang, X. J., & Machado, J. T. (2017). A new fractional operator of variable order: application in the description of anomalous diffusion. Physica A: Statistical Mechanics and its Applications, 481, 276-283.(SCI)

• Yang, X. J., F. Gao, H. M. Srivastava, New rheological models within local fractional derivative, Romanian Reports in Physics, 69(3), 113 (2017).  (SCI)

• Yang, X. J., Machado, J. T., Baleanu, D. Anomalous diffusion models with general fractional derivatives within the kernels of the extended Mittag-Leffler type functions, Romanian Reports in Physics, 2017, 2017, 69(4): 115(19pages).(SCI)

• Yang, X. J., New general fractional-order rheological models with kernels of Mittag-Leffler functions, Romanian Reports in Physics, 2017, 69(4): 118(15 pages).(SCI)

• Yang, X. J., Baleanu, D., Gao, F. (2017). New analytical solutions for Klein-Gordon and Helmholtz equations in fractal dimensional space. Proceedings of the Romanian academy, Series A, 18(3), 231-238.(SCI)

• Yang, X. J., Tenreiro Machado, J. A. (2017). A new insight into complexity from the local fractional calculus view point: modelling growths of populations. Mathematical Methods in the Applied Sciences.40(17):6070–6075. (SCI)

• Yang, X. J., Machado, J. T., Nieto, J. J., A New Family of the Local Fractional PDEs, Fundamenta Informaticae, 151 (2017) 63–75.(SCI)

• Yang, X. J., Srivastava, H. M., Torres, D. F., Zhang, Y. , Non-differentiable Solutions for Local Fractional Nonlinear Riccati Differential Equations, Fundamenta Informaticae, 151 (2017) 409–417.(SCI)

• Yang, X. J., Gao, F., A New Technology for Solving Diffusion and Heat Equations, Thermal Science, 2017, 21(1A), 133-140. (SCI) (ESI Highly Cited Paper)

• Yang, X. J. (2017). Fractional derivatives of constant and variable orders applied to anomalous relaxation models in heat-transfer problems. Thermal Science, 21 (3), 1161-1171.(SCI) (ESI Highly Cited Paper)

• Yang, X. J., New integral transforms for solving a steady heat transfer problem, Thermal Science, 21(1), S79-S87.(SCI)

• Yang, X. J., Y. G. Yang, C. Cattani, M. Z. Zhu, A new technique for solving the 1-D Burgers equation, Thermal Science,21(1), S129-S136. (SCI)

• Yang, X. J., H. M. Srivastava, D.F. M. Torres, Amar Debbouche, General fractional-order anomalous diffusion with nonsingular power-law kernel, Thermal Science, 21(1), S1-S9. (SCI)

• Yang Xiao-Jun, General fractional calculus operators containing the generalized Mittag-Leffler functions applied to anomalous relaxation, Thermal Science, 21(1), S317-S326.(SCI)

• Feng Gao, Yang, X. J.* and Syed Tauseef Mohyud-Din, On linear viscoelasticity within general fractional derivatives without singular kernel, Thermal Science, 21(1), S335-S342.(SCI)

• Xin Liang, Feng Gao, Ya-Nan Gao, Yang, X. J., Applications of a novel integral transform to partial differential equations, Journal of Nonlinear Sciences & Applications, 10 (2017), 528–534.

• K.M. Saad, E.H. AL-Shareef, Mohamed S. Mohamed, Yang, X. J., Optimal q-homotopy analysis method for time-space fractional gas dynamics equation, The European Physical Journal Plus, (2017) 132: 23. (SCI)

• X. H., Zhao, Y. D. Zhang, D.Zhao, Yang, X. J., The RC Circuit Described by Local Fractional Differential Equations, Fundamenta Informaticae, 150 (2017) 1–11. (SCI)

• Y.-D. Zhang, X.-J. Yang, C. Cattani, Z.-C. Dong, T.F. Yuan, L.X. Han, Theory and Applications of Fractional Fourier Transform and its Variants：Preface, Fundamenta Informaticae, 151(1-4), pp. ix-xvi, 2017. (SCI)

• D. Zhao, J. Singh, D. Kumar, S. Rathore, X.-J. Yang, An efficient computational technique for local fractional heat conduction equations in fractal media, Journal of Nonlinear Science and Applications, 10 (2017), 1478–1486. (SCI)

• S. T. Mohyud-din, M. A. Iqbal, U. Khan, X. J. Yang, MHD squeezing flow between two parallel disks with suction or injection via legendre wavelet-quasilinearization technique, Engineering Computations, 34(3) (2017) , 892 - 901. (SCI)

• Gao, F., Yang, X. J. *and Y. F. Zhang, (2017). Exact traveling wave solutions for a new nonlinear heat-transfer equation, Thermal Science, 21(4), 1833-1838. (SCI)

• Rahimi, Z., Sumelka, W., Yang, X. J. (2017). Linear and non-linear free vibration of nano beams based on a new fractional non-local theory. Engineering Computations, 34(5), 1754-1770. (SCI)

• Guo, Y. M., Zhao, Y., Zhou, Y. M., Xiao, Z. B., Yang, X. J. (2017). On the local fractional LWR model in fractal traffic flows in the entropy condition. Mathematical Methods in the Applied Sciences. 40(17):6127–6132. (SCI)

• Shang, X. J., Wang J. G., andYang, X. J. Fractal analysis for heat extraction in geothermal system, Thermal Science, 21(1), S25-S31.(SCI)

• Yuejin ZHO, Shun PANG, Guo CHONG, Xiaojun YANG, Xiaoding XU, Xiaotong LI, A variational iteration method integral transform technique for handling heat transfer problems, Thermal Science,21(1), S55-S61.(SCI)

• Gao, Y. N., Yan, W. C., Yang, X. J., Crack closure and initiation stresses of coal subjected to thermo-gas-mechanical coupling, Thermal Science,21(1), S301-S308.(SCI)

• T. L.Wang, G.T. Wang, X.-J. Yang, On a Hadamard-type fractional turbulent flow modelwith deviating arguments in a porous medium, Nonlinear Analysis: Modelling and Control, Vol. 22(6), 765–784(2017). (SCI)

• Yang, X. J., Gasimov, Y. S., Gao, F., & Allahverdiyeva, N. (2017, January). Travelling-wave solutions for klein-gordon and helmholtz equations on cantor sets. Proceedings of the institute of mathematics and mechanics, 43, No. 1, pp. 123-131.

• Yang, X. J. , General fractional derivatives: A tutorial comment, Symposiumon Advanced Computational Methods for Linear and Nonlinear Heat and Fluid Flow 2017 & Advanced Computational Methods in Applied Science 2017 & Fractional (Fractal) Calculus and Applied Analysis 2017, July1-3, 2017, Songjiang, Shanghai, China.

•  

2016

• Zhang, Y. & Yang, X. J. (2016). An efficient analytical method for solving local fractional nonlinear PDEs arising in mathematical physics. Applied Mathematical Modelling 40, 1793-1799. (SCI) (ESI Highly Cited Paper) 

• Yang, X. J., Machado, J. A. T. & Srivastava, H. M. (2016). A new numerical technique for solving the local fractional diffusion equation: Two-dimensional extended differential transform approach. Applied Mathematics and Computation 274, 143-151.(SCI) (ESI Highly Cited Paper) 

• Yang, X. J., Machado, J. A. T. &Hristov, J. (2016). Nonlinear dynamics for local fractional Burgers' equation arising in fractal flow. Nonlinear Dynamics 84, 3-7.(SCI) (ESI Highly Cited Paper) 

• Yang, X. J., Machado, J. A. T., Baleanu, D. &Cattani, C. (2016). On exact traveling-wave solutions for local fractional Korteweg-de Vries equation. Chaos 26.(SCI)

• Yang, X. J., Tenreiro Machado, J. A., Baleanu, D.,Gao, F. (2016) A new numerical technique for local fractional diffusion equation in fractal heat transfer. Jounal of Nonlinear Science and Applications, 9,5621-5628. (SCI)

• Yang, X. J. (2016). A NEW INTEGRAL TRANSFORM METHOD FOR SOLVING STEADY HEAT-TRANSFER PROBLEM. Thermal Science 20, S639-S642.(SCI)

• Yang, X. J. (2016). A NEW INTEGRAL TRANSFORM WITH AN APPLICATION IN HEAT-TRANSFER PROBLEM. Thermal Science 20, S677-S681.(SCI)

• Yang, X. J., Cattani, C. &Debbouche, A. (2016). The recent heat flow in different operators. Thermal Science 20.(SCI)

• Yang, X. J., Lopes, A. M., Hristov, J. Y., Cattani, C., Baleanu, D. &Mohyud-Din, S. T. (2016). Special issue on advances in fractional dynamics in mechanical engineering. Advances in Mechanical Engineering 8. 1-2 (SCI)

• Yang, X. J., Srivastava, H. M. & Machado, J. A. T. (2016). A new fractional derivative without singular kernel: Application to the modelling of the steady heat flow. Thermal Science 20, 753-756.(SCI) (ESI Highly Cited Paper) 

• Yang, X. J., Zhang, Z. Z., Machado, J. A. T. &Baleanu, D. (2016). ON LOCAL FRACTIONAL OPERATORS VIEW OF COMPUTATIONAL COMPLEXITY Diffusion and Relaxation Defined on Cantor Sets. Thermal Science 20, S755-S767.(SCI)

• Yang, X. J., Zhang, Z. Z. & Srivastava, H. M. (2016). SOME NEW APPLICATIONS FOR HEAT AND FLUID FLOWS VIA FRACTIONAL DERIVATIVES WITHOUT SINGULAR KERNEL. Thermal Science 20, S833-S839.(SCI)

• Gao, F. & Yang, X. J. (2016). FRACTIONAL MAXWELL FLUID WITH FRACTIONAL DERIVATIVE WITHOUT SINGULAR KERNEL. Thermal Science 20, S871-S877.(SCI)

• Gao, F. & Yang, X. J. (2016). LOCAL FRACTIONAL EULER'S METHOD FOR THE STEADY HEAT-CONDUCTION PROBLEM. Thermal Science 20, S735-S738.(SCI)

• Zhang, Y., Kumar, A. , Baleanu, D., Yang, X. J. (2016) Residual power series method for time-fractional Schrödinger equations. Journal of Nonlinear Science and Applications, 9, 5821-5829.(SCI)

• Ma, M., Baleanu, D., Gasimov, Y. S. & Yang, X. J. (2016). NEW RESULTS FOR MULTIDIMENSIONAL DIFFUSION EQUATIONS IN FRACTAL DIMENSIONAL SPACE. Romanian Journal of Physics 61, 784-794. (SCI)

• Gao, G. P., Cattani, C. & Yang, X. J. (2016). ABOUT LOCAL FRACTIONAL THREE-DIMENSIONAL COMPRESSIBLE NAVIER-STOKES EQUATIONS IN CANTOR-TYPE CYLINDRICAL CO-ORDINATE SYSTEM. Thermal Science 20, S847-S851.(SCI)

• Khan, S. I., Mohyud-Din, S. T. & Yang, X. J. (2016). Squeezing Flow of Micropolar Nanofluid between Parallel Disks. Journal of Magnetics 21, 476-489.(SCI)

• Wu, F. & Yang, X. J. (2016). APPROXIMATE SOLUTION OF THE NON-LINEAR DIFFUSION EQUATION OF MULTIPLE ORDERS. Thermal Science 20, S683-S687.(SCI)

• Wu, Z. H., Debbouche, A., Guirao, J. L. G. & Yang, X. J. (2016). ON LOCAL FRACTIONAL VOLTERRA INTEGRAL EQUATIONS IN FRACTAL HEAT TRANSFER. Thermal Science 20, S795-S800.(SCI)

• Yan, S. P., Zhong, W. P. & Yang, X. J. (2016). A NOVEL SERIES METHOD FOR FRACTIONAL DIFFUSION EQUATION WITHIN CAPUTO FRACTIONAL DERIVATIVE. Thermal Science 20, S695-S699.(SCI)

• Yang, A. M., Han, Y., Mang, Y. Z., Wang, L. T., Zhang, D. & Yang, X. J. (2016). ON LOCAL FRACTIONAL VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS IN FRACTAL STEADY HEAT TRANSFER. Thermal Science 20, S789-S793.(SCI)

• Yang, C. Y., Zhang, Y. D. & Yang, X. J. (2016). EXACT SOLUTIONS FOR THE DIFFERENTIAL EQUATIONS IN FRACTAL HEAT TRANSFER. Thermal Science 20, S747-S750.(SCI)

• Zhang, Y., Baleanu, D. & Yang, X. J. (2016). NEW SOLUTIONS OF THE TRANSPORT EQUATIONS IN POROUS MEDIA WITHIN LOCAL FRACTIONAL DERIVATIVE. Proceedings of the Romanian Academy Series a-Mathematics Physics Technical Sciences Information Science 17, 230-236.(SCI)

• Zhao, Y., Cai, Y. G. & Yang, X. J. (2016). A LOCAL FRACTIONAL DERIVATIVE WITH APPLICATIONS TO FRACTAL RELAXATION AND DIFFUSION PHENOMENA. Thermal Science 20, S723-S727.（SCI）

• Gao, F., Srivastavac, H. M., Gao, Y. N., Yang, X. J. , (2016) A coupling method involving the Sumudu transform and the variational iteration method for a class of local fractional diffusion equations. Journal of Nonlinear Science and Applications, 9, 5830-5835. (SCI)

• Zhang, Y. F., Yang, X. J. (2016) Generation of discrete integrable systems and some algebro-geometric properties of related discrete-lattice equations. Journal of Nonlinear Science and Applications, 9, 6126-6141.(SCI) 

• Li, C., Kumarb, A., Kumar, S., & Yang, X. J. (2016). On the approximate solution of nonlinear time-fractional KdV equation via modified homotopy analysis Laplace transform method. Journal of Nonlinear Sciences & Applications, 9(9) 5463-5470. （SCI）

• Wang, S. H., Yang, X. J., Du, S. D., Li, N., Cattani, C., Dong, Z. C., & Zhang, Y. D. (2016). 3D Ceramics Printing Applied in Synthetic Bone Grafting Helps Seniors Suffering from Osteoporosis. JOURNAL OF THE AMERICAN GERIATRICS SOCIETY, Vol. 64, pp. S365-S365. (SCI)

• ​

2015

• D., Zhao., Yang, X.-J., H. M. Srivastava, Some fractal heat-transfer problems with local fractional calculus, Thermal Science, 19 (2015) 1867-1871. (SCI)

• Y.-D. Zhang, S. -H. Wang, X.-J. Yang, Z.-C. Dong, G. Liu, P. Phillips, T.-F. Yuan, Pathological brain detection in MRI scanning by wavelet packet Tsallis entropy and fuzzy support vector machine, Springer Plus, 4 (2015) 716. (SCI)

• X.-J. Yang, H. M. Srivastava, D. Baleanu, Initial-boundary value problems for local fractional Laplace equation arising in fractal electrostatics, Journal of Applied Nonlinear Dynamics, 4 (2015) 349-356. 

• J. Ahmad, S. T. Mohyud-Din, H. M. Srivastava , X.-J. Yang, Analytic solutions of the Helmholtz and Laplace equations by using local fractional derivative operators, Waves, Wavelets and Fractals: Advanced Analysis, 1 (2015) 22-26.

• S.-H Wang, X.-J. Yang, Y-D Zhang, P. Phillips, J-FYang, T-FYuan,  Identification of green, oolong and black teas in China via wavelet packet entropy and fuzzy support vector machine, Entropy, 17 (2015) 6663-6682. (SCI)

• X.-J. Yang, H. M. Srivastava, C. Cattina, Local fractional homotopy perturbation method for solving fractal partial differential equations arising in mathematical physics, Romanian Reports in Physics, 67 (2015) 752–761. (SCI)  

• Y. Zhang, X.-J. Yang, C. Cattina, Local fractional homotopy perturbation method for solving non-homogeneous heat conduction equations in fractal domains, Entropy, 17 (2015) 6753-6764. (SCI)

• D. Baleanu, X.-J. Yang, G. N. Xie, On the 60th Anniversary of Professor Jordan Yankov Hristov, Thermal Science, 19 (2015) SXI-SXII. (SCI)

• D. Baleanu, X.-J. Yang, G. N. Xie, Special Issue on the Occasion of 60th Anniversary of Professor Jordan Yankov Hristov dedicated to non-linear diffusion models in heat and mass transfer, Thermal Science, 19 (2015) SIX-SX. (SCI)

• X.- J. Yang, H. M. Srivastava, An asymptotic perturbation solution for a linear oscillator of free damped vibrations in fractal medium described by local fractional derivatives, Communications in Nonlinear Science and Numerical Simulation, 29 (2015) 499-504. (SCI)   

• K. Golmankhaneh, X.- J. Yang, D. Baleanu, Einstein field equations within local fractional calculus, Romanian Journal of Physics, 60 (2015) 22-31. (SCI)  

• X.-J. Yang, D. Baleanu, M. C. Baleanu, Observing diffusion problems defined on cantor sets in different coordinate systems, Thermal Science, 19 (2015) 151-156. (SCI) 

• X.-J. Yang, D. Baleanu, H. M. Srivastava, Local fractional similarity solution for the diffusion equation defined on Cantor sets, Applied Mathematics Letters, 47 (2015) 54-60. (SCI)

• X.-J. Yang, D. Baleanu, P. Lazarević Mihailo, S. Cajić Milan, Fractal boundary value problems for integral and differential equations with local fractional operators, Thermal Science, 19 (2015) 959-966. (SCI)  

• D. Baleanu, H. M. Srivastava, X.-J. Yang, Local fractional variational iteration algorithms for the parabolic Fokker-Planck equation defined on Cantor sets, Progress in Fractional Differentiation and Applications, 1 (2015) 1-11. (SCI)

• Z. P. Fan, H. K. Jassim, R. K. Raina, X.-J. Yang, Adomian decomposition method for three-dimensional diffusion model in fractal heat transfer involving local fractional derivatives, Thermal Science, 19 (2015) 137-141. (SCI)  

• H. M. Srivastava, X.-J. Yang, D. Baleanu, J. J. Nieto, J. Hristov, Advances on Integrodifferential Equations and Transforms, Abstract and Applied Analysis, 2015 (2015) 1-2. (Scopus)

2014

• X.-J. Yang, D. Baleanu, Y. Khan, S.T. Mohyud-Din, Local fractional variational iteration method for diffusion and wave equations on Cantor sets, Romanian Journal of Physics, 59 (2014) 36-48. (SCI)

• A.M. Yang, C. Cattani, C. Zhang, G.-N. Xie, and X. J. Yang,  Local fractional Fourier series solutions for nonhomogeneous heat equations arising in fractal heat flow with local fractional derivative, Advances in Mechanical Engineering, 2014 (2014) 1-5. (SCI)

• L. Chen, Y. Zhao, H. Jafari, J. A. T. Machado, and X. J. Yang, Local fractional variational iteration method for local fractional Poisson equations in two independent variables, Abstract and Applied Analysis, 2014 (2014) 1-7. (SCI)

• X. J. Yang, J. Hristov, H. M. Srivastava, and B. Ahmad, Modelling fractal waves on shallow water surfaces via local fractional Korteweg-de Vries equation, Abstract and Applied Analysis, 2014 (2014) 1-10. (SCI)

• X. J. Wang, Y., Zhao, C. Cattani, X. -J. Yang, Local fractional variational iteration method for inhomogeneous Helmholtz equation within local fractional derivative operator, Mathematical Problems in Engineering, 2014 (2014) 1-7. (SCI)

• A.M. Yang, J. Li, H. M. Srivastava, G. Xie, X.-J. Yang, The local fractional Laplace variational iteration method for solving linear partial differential equations with local fractional derivatives, Discrete Dynamics in Nature and Society, 2014 (2014) 1-8. (SCI) 

• S. Xu, X. Ling, C. Cattani, G.-N. Xie, X.-J. Yang, and Y. Zhao, Local fractional Laplace variational iteration method for non-homogeneous heat equations arising in fractal heat flow, Mathematical Problems in Engineering, 2014 (2014) 1-7. (SCI)

• H. M. Srivastava, A. K. Golmankhaneh, D. Baleanu, and X.-J. Yang, Local fractional Sumudu transform with application to IVPs on Cantor sets, Abstract and Applied Analysis, 2014 (2014) 1-7. (SCI)

• M. Li, X. F. Hui, C. Cattani, X. J. Yang, Y. Zhao, Li M, Hui XF, Cattani C, Yang XJ, Zhao Y. Approximate solutions for local fractional linear transport equations arising in fractal porous media, Advances in Mathematical Physics, 2014 (2014) 1-8. (SCI)

• Y. Y. Li, Y. Zhao, G. N. Xie, D. Baleanu, X.-J. Yang, K. Zhao, Local Fractional Poisson and Laplace Equations with Applications to Electrostatics in Fractal Domain, Advances in Mathematical Physics, 2014 (2014) 1-5. (SCI)

• L. F. Wang, X.-J. Yang, D. Baleanu, C. Cattani, Y. Zhao, Fractal Dynamical Model of Vehicular Traffic Flow within the Local Fractional Conservation Laws, Abstract and Applied Analysis, 2014 (2014) 1-5. (SCI)

• S. H. Yan, X. H. Chen, G. N. Xie, C. Cattani, X.-J. Yang, Solving Fokker-Planck Equations on Cantor Sets Using Local Fractional Decomposition Method, Abstract and Applied Analysis, 2014 (2014) 1-6. (SCI)

• K. Liu, R.-J. Hu, C. Cattani, G.N. Xie, X-J. Yang, Y. Zhao, Local fractional Z transforms with applications to signals on Cantor sets, Abstract and Applied Analysis, 2014 (2014) 1-6. (SCI)

• A. M Yang, Y. Z. Zhang, C. Cattani, G.N. Xie, M. M. Rashidi, Y.J. Zhou, X-J Yang, Application of local fractional series expansion method to solve Klein-Gordon equations on Cantor sets, Abstract and Applied Analysis, 2014 (2014) 1-6. (SCI)

• D. Baleanu, J. A. Tenreiro Machado, C. Cattani, M. C. Baleanu, X. -J. Yang, Local fractional variational iteration and decomposition methods for wave equation on Cantor sets within local fractional operators, Abstract and Applied Analysis, 2014 (2014) 1-6. (SCI)

• S. T. Mohyud-din, U. Khan; N. Ahmed, S. I. Khan; Z. A. Zaidi, X.-J. Yang, On unsteady two-dimensional and axisymmetric squeezing flow between parallel plates, Alexandria Engineering Journal, 53 (2014) 463-468. (Scopus)

• J. Ahmad, S. T. Mohyud-Din, X.-J. Yang, Local fractional decomposition method on wave equation in fractal strings, Mitteilungen Klosterneuburg, 62 (2014) 98-105.

2013

• X.-J. Yang, H. M. Srivastava, J. -H. He, D. Baleanu, Cantor-type cylindrical-coordinate method for differential equations with local fractional derivatives, Physics Letters A, 377 (2013) 1696–1700. (ESI Highly Cited Paper) (SCI)

• X.-J. Yang, D. Baleanu, J.-H. He, Transport equations in fractal porous media within fractional complex transform method, Proceedings of the Romanian Academy, Series A, 14 (2013) 287-292, 2013. (ESI Highly Cited Paper) (SCI)

• X.-J. Yang, D. Baleanu, W. P. Zhong, Approximate solutions for diffusion equations on Cantor space-time, Proceedings of the Romanian Academy, Series A, 14 (2013) 127-133. (ESI Highly Cited Paper) (SCI)

• X. -J. Yang, D. Baleanu, J. A. T. Machado, Mathematical aspects of Heisenberg uncertainty principle within local fractional Fourier analysis, Boundary Value Problems, 2013 (2013) 1-6. (ESI Highly Cited Papers) (SCI)

•  X.-J. Yang, D. Baleanu, Fractal heat conduction problem solved by local fractional variation iteration method, Thermal Science, 17 (2013) 625-628. (ESI Highly Cited Papers) (SCI)

• W. H. Su, D. Baleanu, X. -J. Yang, and H. Jafari, Damped wave equation and dissipative wave equation in fractal strings within the local fractional variational iteration method, Fixed Point Theory and Applications, 2013 (2013) 89-102. (ESI Highly Cited Papers) (SCI)

• W. H. Su, D. Baleanu, X. -J. Yang, and H. Jafari, Fractional complex transform method for wave equations on Cantor sets within local fractional differential operator, Advances in Difference Equations, 2013 (2013) 97-103. (SCI)  

• A.-M. Yang, C. Cattani, H. Jafari, and X.-J. Yang, Analytical solutions of the one-dimensional heat equations arising in fractal transient conduction with local fractional derivative, Abstract and Applied Analysis, 2013 (2013) 1-5. (SCI)

• A. M. Yang, Z. S. Chen, H. M. Srivastava, X. -J. Yang, Application of the local fractional series expansion method and the variational iteration method to the Helmholtz equation involving local fractional derivative operators, Abstract and Applied Analysis, (2013) 1-6. (SCI)

• Y. Zhao, D. Baleanu, C. Cattani, D. F. Cheng, X. -J Yang, Maxwell’s equations on Cantor sets: a local fractional approach, Advances in High Energy Physics, 2013 (2013) 1-6. (SCI)

• Y. Zhao, D. Baleanu, C. Cattani, D. F. Cheng, and X.-J. Yang, Local fractional discrete wavelet transform for solving signals on Cantor sets, Mathematical Problems in Engineering, 2013 (2013) 1-8. (SCI)   

• X.-J. Yang, D. Baleanu, H. M. Srivastava, and J. A. Tenreiro Machado, On local fractional continuous wavelet transform, Abstract and Applied Analysis, 2013 (2013) 1-5. (SCI)

• Y. Zhao, D. F. Cheng, X. -J. Yang, Approximation solutions for local fractional Schrödinger equation in the one-dimensional Cantorian system, Advances in Mathematical Physics, 2013 (2013) 1-5. (SCI)

• Y. Zhao, D. Baleanu, M. C. Baleanu, D. F. Cheng, X.-J. Yang, Mappings for special functions on Cantor sets and special integral transforms via local fractional operators, Abstract and Applied Analysis, 2013 (2013) 1-8. (SCI)

• Y. Z. Zhang, A. M. Yang, X. -J. Yang, 1-D heat conduction in a fractal medium: A solution by the local fractional Fourier series method, Thermal Science, 17 (2013) 953-956. (SCI) 

• Y.-J. Hao, H.M. Srivastava, H. Jafari, X. -J.Yang, Helmholtz and Diffusion Equations Associated with Local Fractional Derivative Operators Involving the Cantorian and Cantor-Type Cylindrical Coordinates, Advances in Mathematical Physics, 2013 (2013) 1-5. (SCI)

• X.-J. Ma, H. M. Srivastava, D. Baleanu, X.-J. Yang, A new Neumann series method for solving a family of local fractional Fredholm and Volterra integral equations, Mathematical Problems in Engineering, 2013 (2013) 1-6. (SCI)

• Y.-J. Yang, D. Baleanu, and X. -J. Yang, Analysis of fractal wave equations by local fractional Fourier series method, Advances in Mathematical Physics, 2013 (2013) 1-6. (SCI) 

• X.-J. Yang, D. Baleanu, and J. A. Tenreiro Machado, Systems of Navier-Stokes equations on Cantor sets, Mathematical Problems in Engineering, 2013 (2013) 1-8. (SCI)

• A. M. Yang, X. -J. Yang, Z. B. Li, Local fractional series expansion method for solving wave and diffusion equations on Cantor sets, Abstract and Applied Analysis, 2013 (2013) 1-5. (SCI)

• Y. J. Yang, D. Baleanu, X. -J. Yang, A local fractional variational iteration method for Laplace equation within local fractional operators, Abstract and Applied Analysis, 2013 (2013) 1-6. (SCI)

• M. S. Hu, D. Baleanu, X. -J. Yang, One-phase problems for discontinuous heat transfer in fractal media, Mathematical Problems in Engineering, 2013 (2013) 1-3. (SCI)

• W. P. Zhong, X.-J. Yang, F. Gao, A Cauchy problem for some local fractional abstract differential equation with fractal conditions, Journal of Applied Functional Analysis, 8 (2013) 92-99.

• X.-J. Yang, D. Baleanu, Local fractional variational iteration method for Fokker-Planck equation on a Cantor set, Acta Universitaria, 23 (2013) 9-14.

• X.-J. Yang, J.-H. He, D. Baleanu, Local fractional calculus and fractional complex transform, Nonlinear Science Letters A, 4 (2013) 70-75.

• D. Baleanu, X. -J. Yang, Euler-Lagrange equations on Cantor sets,Proceedings of the ASME,August 4-7, 2013, Portland, Oregon, Oregon, USA,2013. (SCI)

• D. Baleanu, X. -J. Yang, Local fractional Fourier series with applications to representations of fractal signals, Proceedings of the ASME，August 4-7, 2013, Portland, Oregon, Oregon, USA,2013. (SCI)

2012

• M.-S. Hu, R. P. Agarwal, X.-J. Yang, Local fractional Fourier series with application to wave equation in fractal vibrating string, Abstract and Applied Analysis, 2012 (2012) 1-15. (SCI)

• X. -J. Yang, M.- K. Liao, J. -W. Chen, A novel approach to processing fractal signals using the Yang-Fourier transforms, Procedia Engineering, 29 (2012) 2950-2954.

• X.-J. Yang, Local fractional calculus and its applications, In: Proc. of FDA'12, The 5th IFAC Workshop Fractional Differentiation and its Applications, pp.1-8, 2012.

• S. T. Mohyud-Din, U. Khan, N. Ahmed, Z. A. Zaidi, S.I. U. Khan, X.-J. Yang, Heat transfer analysis in diverging and converging channels, Nonlinear Science Letters A, 3 (2012) 61-79.

• X.-J. Yang, Local fractional partial differential equations with fractal boundary problems，Advances in Computational Mathematics and its Applications,1 (2012) 60-63.

• X.-J. Yang, Expression of generalized Newton iteration method via generalized local fractional Taylor series, Advances in Computer Science and its Applications, 1 (2012) 89-92.

• X.-J. Yang, Local fractional Fourier analysis, Advances in Mechanical Engineering and its Applications, 1 (2012) 12-16.

• X.-J. Yang, Generalized sampling theorem for fractal signals, Advances in Digital Multimedia, 1 (2012) 88-92.

• X.-J. Yang, Local fractional kernel transform in fractal space and its applications, Advances in Computational Mathematics and its Applications, 1 (2012) 86-93.

• X.-J. Yang, Local fractional integral equations and their applications, Advances in Computer Science and its Applications, 1 (2012) 234-239.

• X.-J. Yang, F. R. Zhang, Local fractional variational iteration method and its algorithms，Advances in Computational Mathematics and its Applications, 1 (2012) 139-145.

• X.-J. Yang, Y. Zhang, A new successive approximation to non-homogeneous local fractional Volterra equation, Advances in Information Technology and Management,1 (2012) 138-141.

• X.-J. Yang, Picard’s Approximation method for solving a class of local fractional Volterra integral equations, Advances in Intelligent Transportation Systems, 1 (2012) 67-70.

• X.-J. Yang, Heat transfer in discontinuous media, Advances in Mechanical Engineering and its Applications, 1 (2012) 47-53.

• X.-J. Yang, Generalized local fractional Taylor’s formula with local fractional derivative, Journal of Expert Systems, 1 (2012) 26-30.

• X.-J. Yang, Y. Zhang, A new Adomian decomposition procedure scheme for solving local fractional Volterra integral equation, Advances in Information Technology and Management, 1 (2012) 158-161.

• X.-J. Yang, The zero-mass renormalization group differential equations and limit cycles in non-smooth initial value problems, Prespacetime Journal, 3 (2012) 913-923.

• X.-J. Yang, Theory and applications of local fractional Fourier analysis, Advances in Mechanical Engineering and its Applications, 1 (2012) 70-85, 2012.

2011

• X.-J. Yang, F. Gao, Fundamentals of Local Fractional Iteration of the Continuously Nondifferentiable Functions Derived from Local Fractional Calculus, Communications in Computer and Information Science, 153 (2011) 398-404.

• X.-J. Yang, Local Fractional Laplace’s Transform Based Local Fractional Calculus, Communications in Computer and Information Science, 153 (2011) 391-397.

• X.-J. Yang, Local fractional integral transforms, Progress in Nonlinear Science, 4 (2011) 1-225.

2010

• X. -J. Yang, Z. X. Kang, C. H. Liu, Local fractional Fourier’s transform based on the local fractional calculus, In: Proc. of the 2010 International Conference on Electrical and Control Engineering, IEEE Computer Society Washington, Wuhan, China, pp.1242-1245, 2010.

2009

• X.-J. Yang, F. Gao, The fundamentals of local fractional derivative of the one-variable non-differentiable functions, World SCI-TECH R&D,  31 (2009)  920-921.

• X.-J. Yang, L. Li, R. Yang, Problems of local fractional definite integral of the one-variable non-differentiable function, World SCI-TECH R&D, 31 (2009) 722-724.

• F. Gao, X.-L. Xu, X.-J. Yang, Y. Ju, Research on thermo-visco-elastoplastic model of rock, Chinese Journal of Rock Mechanics and Engineering, 28 (2009) 74-80.

2008

• X.-J. Yang, F. Gao, W.-P Zhong, C.-C, Xu, Fractional definite Integral, World SCI-TECH R&D, 30 (2008) 636-638.

• X.-J. Yang, G.-N. Liu, Z.-X. Kuang, N.-Y. Gao, X.-L, Xu, The adaptability principle of mechanical law and the scale-invariant principle of mechanical law in fractal space, World SCI-TECH R&D, 30 (2008) 800-802.

2007

• C.-J. Jin, W.-Q. Liu, X.-J. Yang, Application of ANSYS in seismic response analysis of constructing of high buildings, Journal of Heilongjiang Institute of Science&Technology,17 (2007) 54-58.