[1] Xu, S., Ling, X., Zhao, Y., and Jassim, H. K., A Novel Schedule for Solving the Two-Dimensional Diffusion in Fractal Heat Transfer, Thermal Science, 19 (2015) 99-103.
[2] Fan, Z. P., Jassim, H. K., Rainna, R. K., and Yang, X. J., Adomian Decomposition Method for Three-Dimensional Diffusion Model in Fractal Heat Transfer Involving Local Fractional Derivatives, Thermal Science, 19 (2015) 137-141.
[3] Yang, X. J., Tenreiro J. A., and Srivastava, H. M., A new numerical technique for solving the local fractional diffusion equation: Two dimensional extended differential transform approach, Applied Mathematics and Computation, 274 (2016) 143-151.
[4] Jassim, H. K., The Approximate Solutions of Three-Dimensional Diffusion and Wave Equations within Local Fractional Derivative Operator, Abstract and Applied Analysis, 2016 (2016) 1-5: ID 2913539.
[5] Baleanu, D., Jassim, H. K., Khan, H., A Modification Fractional Variational Iteration Method for solving Nonlinear Gas Dynamic and Coupled KdV Equations Involving Local Fractional Operators, Thermal Science, 22 (2018) S165-S175
[6] Jafari, H. K. Jassim, et al., Fractional variational iteration method to solve one dimensional second order hyperbolic telegraph equations, Journal of Physics: Conference Series, 1032 (2018) 1-9.
[7] Jassim, H. K., Ünlü, C., Moshokoa, S. P., Khalique, C. M., Local Fractional Laplace Variational Iteration Method for Solving Diffusion and Wave Equations on Cantor Sets within Local Fractional Operators, Mathematical Problems in Engineering, 2015 (2015) 1-9: ID 309870.
[8] Yang, X. J. and Baleanu, D., Local fractional variational iteration method for Fokker-Planck equation on a Cantor set, Acta Universitaria, 23 (2013) 3-8.
[9] Jassim, H. K., New Approaches for Solving Fokker Planck Equation on Cantor Sets within Local Fractional Operators, Journal of Mathematics, 2015 (2015) 1-8: ID 684598.
[10] Yan, S. P., et al., Local Fractional Adomian Decomposition and Function Decomposition Methods for Solving Laplace Equation within Local Fractional Operators, Advances in Mathematical Physics, 2014 (2014) 1-7: ID 161580.
[11] Yang, A. M., et al., Application of local fractional series expansion method to solve Klein-Gordon equations on Cantor sets, Abstract and Applied Analysis, 2014 (2014) 1-6: ID 372741.
[12] Jafari, H., Jassim, H. K., Moshokoa, S. P., Ariyan, V. M. and Tchier, F., Reduced differential transform method for partial differential equations within local fractional derivative operators, Advances in Mechanical Engineering, 8 (2016) 1-6.
[13] Yang, A. M., Chen, Z. S., et al., 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 (2013) 1-6: ID 259125.
[14] Wang, X. J., et al., Local fractional variational iteration method for inhomogeneous Helmholtz equation within local fractional derivative operator, Mathematical Problems in Engineering, 2014 (2014) 1-7: ID 913202.
[15] Baleanu, D., et al., Approximate Analytical Solutions of Goursat Problem within Local Fractional Operators, Journal of Nonlinear Science and Applications, 9 (2016) 4829-4837.
[16] Yang, X. J., et al. Local Fractional Integral Transforms and Their Applications, Academic Press, New York, USA, (2015).
[17] Yang, X. J., et al. Modelling Fractal Waves on Shallow Water Surfaces Via Local Fractional Korteweg-de Vries Equation, Abstract Applied Analysis, 2014 (2014) 1-10.
[18] Jafari, H., et al., Local Fractional Variational Iteration Method for Nonlinear Partial Differential Equations within Local Fractional Operators, Applications and Applied Mathematics, 10 (2015) 1055-1065.
[19] Jafari, H., Jassim, H.K., Application of Local Fractional Variational Iteration Method to Solve System of Coupled Partial Differential Equations Involving Local Fractional Operator, Applied Mathematics Information Sciences Letters, 5 (2017) 1-6.
[20] Jafari, H., Jassim, H. K., and Vahidi, J., The Reduced Differential Transform and Variational Iteration Methods for 3D Diffusion Model in Fractal Heat Transfer within Local Fractional Operators, Thermal Science, 22 (2018) S301-S307.
[21] Jassim, H. K., On Approximate Methods for Fractal Vehicular Traffic Flow, TWMS Journal of Applied and Engineering Mathematics, 7 (2017) 58-65.
[22] Yang, A. M., et al., Local fractional Series expansion method for solving wave and diffusion equations on Cantor sets, Abstract and Applied Analysis, 2013 (2013) 1-5: ID 351057.
[23] Miles, J. W., The Korteweg-de Vries equation: a historical essay, Journal of Fluid Mechanics, 106 (1981) 131–147.
[24] Momani, S., Odibat, Z., and Alawneh, A., Variational iteration method for solving the space- and time-fractional KdV equation, Numerical Methods for Partial Differential Equations, 24 (2008) 262–271.
[25] El-Wakil, S.A., Abulwafa, E., Zahran, M., and Mahmoud, A., Time-fractional KdV equation: formulation and solution using variational methods, Nonlinear Dynamics, 65 (2011) 55-63.
[26] Atangana, A., and Secer, A., The time-fractional coupled- Korteweg-de-Vries equations, Abstract and Applied Analysis, 2013 (2013) 1-8: ID 947986.
[27] Jafari, H., et al., On the Approximate Solutions of Local Fractional Differential Equations with Local Fractional Operator, Entropy, 18 (2016) 1-12.
[28] Ingo, C., Magin, R. L., and Parrish, T. B., New insights into the fractional order diffusion equation using entropy and kurtosis, Entropy, 16 (2014) 5838–5852.
[29] Jafari, H., et al. On the Existence and Uniqueness of Solutions for Local differential equations, Entropy, 18 (2016) 1-9.
[30] Zhang, Y. D., Baleanu, D., and Yang, X. J., On a local fractional wave equation under fixed entropy arising in fractal hydrodynamics, Entropy, 16 (2014) 6254–6262.
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