Work

Iterative procedure for non-linear fractional integro-differential equations via Daftardar–Jafari polynomials

Year: 2025

Type: article

Abstract: In this paper, we introduce a novel approach called the Iterative Aboodh Transform Method (IATM) which utilizes Daftardar–Jafari polynomials for solving non-linear problems. Such method is employed to derive solutions for non-linear fractional partial integro-differential equations (FPIDEs). The key novelty of the suggested method is that it can be used for handling solutions of non-linear FPIDEs in a very simple and effective way. More precisely, we show that Daftardar–Jafari polynomials have simple calculations as compared to Adomian polynomials with higher accuracy. The results obtained within the Daftardar–Jafari polynomials are demonstrated with graphs and tables, and the IATM’s absolute error confirms the higher accuracy of the suggested method.

Source: Partial Differential Equations in Applied Mathematics

DOI: 10.1016/j.padiff.2025.101167

Authors: Qasim Khan, Anthony Suen

Institution: Education University of Hong Kong

Language: English

Topic: Fractional Differential Equations Solutions

Subfield: Modeling and Simulation

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,470

Funders: Glaucoma Research Foundation, Education University of Hong Kong