On the Numerical Solution of Nonlinear Fractional-Integro Differential Equations

TL;DR

This paper introduces a perturbation-iteration algorithm (PIA) for numerically solving nonlinear fractional-integro differential equations, demonstrating its accuracy and reliability through comparison with exact solutions.

Contribution

The paper presents a novel numerical method, PIA, specifically designed for nonlinear fractional-integro differential equations, showing improved accuracy over existing approaches.

Findings

PIA provides reliable approximate solutions for FIDEs.

The method shows high accuracy when compared to exact solutions.

Numerical results validate the effectiveness of PIA.

Abstract

In the present study, a numerical method, perturbation-iteration algorithm (shortly PIA), have been employed to give approximate solutions of nonlinear fractional-integro differential equations (FIDEs). Comparing with the exact solution, the PIA produces reliable and accurate results for FIDEs.