Efficient solutions of systems of fractional PDEs by the differential transform method

DOI10.1186/1687-1847-2012-188zbMath1377.35279OpenAlexW2157228170WikidataQ59272403 ScholiaQ59272403MaRDI QIDQ1690873

Aydin Secer, Adem C. Cevikel, Mehmet Ali Akinlar

Publication date: 12 January 2018

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1847-2012-188

zbMATH Keywords

differential transform methodCaputo fractional derivativefractional differential equation

Mathematics Subject Classification ID

Transform methods (e.g., integral transforms) applied to PDEs (35A22) Fractional partial differential equations (35R11)

Related Items (10)

Numerical solutions of fractional differential equations of Lane-Emden type by an accurate technique ⋮ Analysis of fractional multi-dimensional Navier-Stokes equation ⋮ A fourth order non-polynomial quintic spline collocation technique for solving time fractional superdiffusion equations ⋮ Similarity solutions for multiterm time-fractional diffusion equation ⋮ An efficient computational scheme for nonlinear time fractional systems of partial differential equations arising in physical sciences ⋮ Modified differential transform method for solving linear and nonlinear pantograph type of differential and Volterra integro-differential equations with proportional delays ⋮ Application of sinc-Galerkin method for solving space-fractional boundary value problems ⋮ Analysis of non-homogeneous heat model with new trend of derivative with fractional order ⋮ Sinc-Galerkin method for approximate solutions of fractional order boundary value problems ⋮ Computational solution of a fractional integro-differential equation

Uses Software

• BVPh

Cites Work

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• Application of variational iteration method to nonlinear differential equations of fractional order
• Computational algorithms for FE formulations involving fractional operators
• Solution of fractional differential equations by using differential transform method

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