Modified homotopy perturbation method for solving fractional differential equations

DOI10.1155/2014/594245zbMath1442.65318OpenAlexW2046002942WikidataQ59053680 ScholiaQ59053680MaRDI QIDQ2336565

A. A. Hemeda

Publication date: 19 November 2019

Published in: Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/594245

Mathematics Subject Classification ID

Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99)

Related Items (6)

Unnamed Item ⋮ A comparative study of fractional-order diffusion model within Atangana-Baleanu-Caputo operator ⋮ A comparative study on some semi-analytical methods for the solutions of fractional partial integro-differential equations ⋮ HE–ELZAKI METHOD FOR SPATIAL DIFFUSION OF BIOLOGICAL POPULATION ⋮ Solutions of Some Linear Fractional Partial Differential Equations in Mathematical Physics ⋮ A family of measures of noncompactness in the Hölder space \(C^{n, \gamma}(\mathbb{R}_+)\) and its application to some fractional differential equations and numerical methods

Cites Work

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• New iterative method: an application for solving fractional physical differential equations
• The homotopy perturbation method applied to the nonlinear fractional Kolmogorov-Petrovskii-Piskunov equations
• Homotopy perturbation method to space-time fractional solidification in a finite slab
• Homotopy perturbation method for nonlinear partial differential equations of fractional order
• Numerical solutions of systems of nonlinear integro-differential equations by homotopy-perturbation method
• A new Jacobi operational matrix: an application for solving fractional differential equations
• Variational iteration method for solving non-linear partial differential equations
• Homotopy analysis method for solving linear and nonlinear fractional diffusion-wave equation
• The variational iteration method: an efficient scheme for handling fractional partial differential equations in fluid mechanics
• An approximate solution technique depending on an artificial parameter: A special example
• Formulation and solution of \(n\)th-order derivative fuzzy integrodifferential equation using new iterative method with a reliable algorithm
• Approximate analytical solution for seepage flow with fractional derivatives in porous media
• Homotopy perturbation technique
• Iterated He's homotopy perturbation method for quadratic Riccati differential equation
• Numerical solution of two-dimensional nonlinear differential equation by homotopy perturbation method
• A new modification of the homotopy perturbation method for linear and nonlinear operators
• A numerical solution for solving system of Fredholm integral equations by using homotopy perturbation method
• Homotopy perturbation method for fractional KdV equation
• Variational iteration method for solving wave equation
• Application of He's homotopy perturbation method to functional integral equations
• Piecewise homotopy methods for nonlinear ordinary differential equations
• Numerical methods for nonlinear partial differential equations of fractional order
• Application of homotopy perturbation method to nonlinear wave equations

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