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Modification of Picard's Iterative Method for the Solution of Fractional Differential Equations

Year: 2025

Type: article

Abstract: A robust algorithm is introduced in the development of the Modified Picard’s Iterative Method (MPIM) to effectively address both linear and nonlinear Fractional Differential Equation (FDE) and other types of fractional order differential equations. The method's efficacy is demonstrated through numerical examples, showcasing its ability to solve these equations without resorting to linearization or small perturbations. The results affirm the method's strength, accuracy, and simplicity in comparison to alternative approaches.

Source: Journal of Multidisciplinary Science MIKAILALSYS

DOI: 10.58578/mikailalsys.v3i2.5314

Authors: Bivan J. B, Barde Aminu, Okai J. O, Madaki A. G, Michael Cornelius, Thomas J. G, Yohanna N

Institutions: Abubakar Tafawa Balewa University, Gombe State University

Language: English

Topic: Fractional Differential Equations Solutions

Subfield: Modeling and Simulation

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4409202349

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