Initial value problems with generalized fractional derivatives and their solutions via generalized Laplace decomposition method

DOI10.1155/2022/3586802zbMath1497.65203OpenAlexW4281867852MaRDI QIDQ2166636

Mohamed Elbadri

Publication date: 24 August 2022

Published in: Advances in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2022/3586802

zbMATH Keywords

series solutionsLaplace decomposition methodAdomian decomposition

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Series solutions to PDEs (35C10) Laplace transform (44A10) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Fractional partial differential equations (35R11)

Related Items (1)

Effective methods for numerical analysis of the simplest chaotic circuit model with Atangana–Baleanu Caputo fractional derivative

Cites Work

• Finite difference methods for the time fractional diffusion equation on non-uniform meshes
• Comparison between the homotopy perturbation method and the variational iteration method for linear fractional partial differential equations
• The variational iteration method: an efficient scheme for handling fractional partial differential equations in fluid mechanics
• Approximate analytical solution for seepage flow with fractional derivatives in porous media
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• A new solution of time-fractional coupled KdV equation by using natural decomposition method
• Shifted Jacobi collocation scheme for multidimensional time-fractional order telegraph equation
• Legendre-collocation spectral solver for variable-order fractional functional differential equations
• Shifted Gegenbauer-Gauss Collocation Method for Solving Fractional Neutral Functional-Differential Equations with Proportional Delays

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