The solution of the time-fractional diffusion equation by the generalized differential transform method

DOI10.1016/j.mcm.2011.12.015zbMath1286.65180OpenAlexW1967433580WikidataQ115343422 ScholiaQ115343422MaRDI QIDQ2450472

Onur Kıymaz, Ayşegül Çetinkaya

Publication date: 14 May 2014

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2011.12.015

zbMATH Keywords

Mittag-Leffler functionanalytical solutionnumerical methodstime-fractional diffusion equationgeneralized differential transform method

Mathematics Subject Classification ID

Solutions to PDEs in closed form (35C05) Numerical methods for partial differential equations, boundary value problems (65N99) Fractional partial differential equations (35R11)

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Cites Work

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• A note on fractional diffusion equations
• Generalized differential transform method for solving a space- and time-fractional diffusion-wave equation
• Generalized Taylor's formula
• A novel method for nonlinear fractional partial differential equations: Combination of DTM and generalized Taylor's formula
• Analytical solution of a fractional diffusion equation by variational iteration method
• The fundamental solutions for the fractional diffusion-wave equation
• A generalized differential transform method for linear partial differential equations of fractional order
• Analytical solution of a fractional diffusion equation by Adomian decomposition method
• Fractional diffusion and fractional heat equation

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