A new type of integral transform and its applications to the solution of differential equations

Boundary Value Problems 2026 Open access

Read full text
Authors: Mohamed Elarabi Benattia, Khellaf Ould Melha, Vaijanath Laxmanrao Chinchane, Asha B. Nale, Sabri T. M. Thabet, Imed Kédim
DOI: 10.1186/s13661-026-02226-8
Cited by: 0
References: 22

Abstract

In this paper, we introduce a novel integral transform to address certain ordinary differential equations, and it has been demonstrated that this transform possesses unique and highly advantageous properties. We examine this fascinating integral transform and its effectiveness in solving linear ordinary and partial differential equations. Also, we provide a graphical depiction of the solution to the respective differential equations.

Fields of Study & Subjects

Mathematical Analysis and Transform Methods Differential Equations and Boundary Problems Mathematical and Computational Methods

Publication details

Journal / source
Boundary Value Problems
Volume
2026
Issue
1
Publication date
19 January 2026
Language
EN