Solving the (1+n)-dimensional fractional Burgers equation by natural decomposition method

DOI10.15372/SJNM20200407zbMath1501.35009OpenAlexW4234762329MaRDI QIDQ5048163

Kacem Belghaba, M. Hamdi Cherif, A. K. Alomari, Djelloul Ziane

Publication date: 15 November 2022

Published in: Сибирский журнал вычислительной математики (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/sjvm759

zbMATH Keywords

Adomian decomposition methodCaputo fractional derivativenatural transform\((1+n)\)-dimensional Burgers equation

Mathematics Subject Classification ID

Fundamental solutions to PDEs (35A08) Fractional derivatives and integrals (26A33) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Laplace transform (44A10) Integral transforms of special functions (44A20) Semilinear parabolic equations (35K58) Fractional partial differential equations (35R11) Functional-differential equations with fractional derivatives (34K37)

Related Items (1)

Convergence analysis of the fractional decomposition method with applications to time‐fractional biological population models

Cites Work

• The variational homotopy perturbation method for solving \(((n\times n)+1)\) dimensional Burgers' equations
• The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• A new algorithm for calculating Adomian polynomials
• Natural transform of fractional order and some properties
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