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International Journal of Computer Mathematics Volume 95, 2018 - Issue 6-7: Advances on Computational Fractional Partial Differential Equations
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Original Articles

Iterative reproducing kernel method for nonlinear variable-order space fractional diffusion equations

X. Y. LiDepartment of Mathematics, Changshu Institute of Technology, Suzhou, Jiangsu, ChinaView further author information
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B. Y. WuDepartment of Mathematics, Harbin Institute of Technology, Harbin, Heilongjiang, ChinaCorrespondence[email protected]
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Pages 1210-1221 | Received 29 Apr 2017, Accepted 21 Sep 2017, Published online: 11 Nov 2017

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Yu-Lan Wang, Li-na Jia & Hao-lu Zhang. (2019) Numerical solution for a class of space-time fractional equation by the piecewise reproducing kernel method. International Journal of Computer Mathematics 96:10, pages 2100-2111.
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Articles from other publishers (8)

Huda Alsaud & Hassan Eltayeb. (2024) The Four-Dimensional Natural Transform Adomian Decomposition Method and (3+1)-Dimensional Fractional Coupled Burgers’ Equation. Fractal and Fractional 8:4, pages 227.
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Fouad Mohammad Salama & Faisal Fairag. (2024) On numerical solution of two-dimensional variable-order fractional diffusion equation arising in transport phenomena. AIMS Mathematics 9:1, pages 340-370.
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Muhammad Yousuf & Shahzad Sarwar. (2023) Highly Efficient Numerical Algorithm for Nonlinear Space Variable-Order Fractional Reaction–Diffusion Models. Fractal and Fractional 7:9, pages 688.
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Jagan Mohan Jonnalagadda. (2023) A Comparison Result for the Nabla Fractional Difference Operator. Foundations 3:2, pages 181-198.
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Rupali Gupta & Sushil Kumar. (2023) Space-time pseudospectral method for the variable-order space-time fractional diffusion equation. Mathematical Sciences.
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Jian-Gen Liu & Jian Zhang. (2023) A new approximate method to the time fractional damped Burger equation. AIMS Mathematics 8:6, pages 13317-13324.
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Mohamed M. A. Metwali & Shami A. M. Alsallami. (2023) Discontinuous solutions of delay fractional integral equation via measures of noncompactness. AIMS Mathematics 8:9, pages 21055-21068.
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Sachin Kumar, Prashant Pandey & Subir Das. (2019) Gegenbauer wavelet operational matrix method for solving variable-order non-linear reaction–diffusion and Galilei invariant advection–diffusion equations. Computational and Applied Mathematics 38:4.
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