Journal of Multidisciplinary Science: MIKAILALSYS
Vol 3 No 2 (2025): Journal of Multidisciplinary Science: MIKAILALSYS

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

B, Bivan J. (Unknown)
Aminu, Barde (Unknown)
O, Okai J. (Unknown)
G, Madaki A. (Unknown)
Cornelius, Michael (Unknown)
G, Thomas J. (Unknown)
N, Yohanna (Unknown)



Article Info

Publish Date
06 Apr 2025

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.

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Journal Info

Abbrev

mikailalsys

Publisher

Subject

Agriculture, Biological Sciences & Forestry Chemical Engineering, Chemistry & Bioengineering Environmental Science Physics Social Sciences Other

Description

Journal of Multidisciplinary Science : MIKAILALSYS [2987-3924 (Print) and 2987-2286 (Online)] is a double blind peer reviewed and open access journal to disseminating all information contributing to the understanding and development of Multidisciplinary Science. Its scope is international in that it ...