SOLVING SYSTEMS OF FRACTIONAL DIFFERENTIAL EQUATIONS BY HOMOTOPY-PERTURBATION METHOD

In this Letter, approximate analytical solutions of systems of Fractional Differential Equations (FDEs) are derived by the Homotopy-Perturbation Method (HPM). The fractional derivatives are described in the Caputo sense. The solutions are obtained in the form of rapidly convergent infinite series with easily computable terms. Numerical results reveal that HPM is very effective and simple for obtaining approximate solutions of nonlinear systems of FDEs.

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2024-10-06
DOI
https://doi.org/10.5281/zenodo.13894842
Primary Topic
Computational Geometry and Mesh Generation
Type
article
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article

SOLVING SYSTEMS OF FRACTIONAL DIFFERENTIAL EQUATIONS BY HOMOTOPY-PERTURBATION METHOD

Zenodo (CERN European Organization for Nuclear Research)
Computational Geometry and Mesh Generation
article

SOLVING SYSTEMS OF FRACTIONAL DIFFERENTIAL EQUATIONS BY HOMOTOPY-PERTURBATION METHOD

article en

Abstract

In this Letter, approximate analytical solutions of systems of Fractional Differential Equations (FDEs) are derived by the Homotopy-Perturbation Method (HPM). The fractional derivatives are described in the Caputo sense. The solutions are obtained in the form of rapidly convergent infinite series with easily computable terms. Numerical results reveal that HPM is very effective and simple for obtaining approximate solutions of nonlinear systems of FDEs.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 37%
Computational Geometry and Mesh Generation
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SOLVING SYSTEMS OF FRACTIONAL DIFFERENTIAL EQUATIONS BY HOMOTOPY-PERTURBATION METHOD · Zenodo (CERN European Organization for Nuclear Research) (2024) | TGRS Research Map | TGRS