Laplace decomposition for solving nonlinear system of fractional order partial differential equations

DOI10.1186/s13662-020-02839-yzbMath1485.65109OpenAlexW3044135167MaRDI QIDQ2114253

Yanyan Li

Publication date: 15 March 2022

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

Full work available at URL: https://doi.org/10.1186/s13662-020-02839-y

zbMATH Keywords

Adomian decomposition methodLaplace transformationCaputo operatorfractional systems of partial differential equations

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Fractional partial differential equations (35R11)

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Cites Work

• Simple equation method for nonlinear partial differential equations and its applications
• A new approach for solving a system of fractional partial differential equations
• A new homotopy perturbation method for solving systems of partial differential equations
• Tau approximate solution of fractional partial differential equations
• Application of the Laplace decomposition method for solving linear and nonlinear fractional diffusion-wave equations
• An auxiliary parameter method using Adomian polynomials and Laplace transformation for nonlinear differential equations
• Modified variational iteration method for Boussinesq equation
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• An analytical approach to obtain exact solutions of some space-time conformable fractional differential equations
• A novel method for the analytical solution of fractional Zakharov-Kuznetsov equations
• Laplace Adomian decomposition method for multi dimensional time fractional model of Navier-Stokes equation
• Analytical Approach to Solving Fractional Partial Differential Equation by Optimal q-Homotopy Analysis Method
• A new approach for solving nonlinear Volterra integro-differential equations with Mittag--Leffler kernel
• A fractional order HIV/AIDS model based on the effect of screening of unaware infectives
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