A GENERAL MODIFIED INTEGRAL TRANSFORM

Authors

  • Haribhau Laxman Tidke Kavayitri Bahinabai Chaudhari North Maharashtra University, Jalgaon, India

Keywords:

Laplace transform, General modified integral transform, Fractional order integral equations, Integral equation, Differential equations

Abstract

We introduce the general modified integral transform (GMT) —a comprehensive extension encompassing the classical Laplace transform and its variants developed in recent decades. We establish its fundamental properties, including existence, linearity, scaling, shifting (both first and second), differentiation, integration, periodicity, and convolution. As a unifying framework, GMT simplifies and generalizes various known integral transforms. We demonstrate its effectiveness through solutions to ordinary and partial differential equations, Volterra integral equations, partial integro-differential equations, and systems of ODEs, supported by illustrative examples.

 

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Author Biography

Haribhau Laxman Tidke, Kavayitri Bahinabai Chaudhari North Maharashtra University, Jalgaon, India

Haribhau L. Tidke

Assistant Professor
Department of Mathematics,
School of Mathematical Sciences,
Kavayitri Bahinabai Chaudhari North Maharashtra University,
Jalgaon, India
E-mail address: tharibhau@gmail.com

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Published

20-08-2025

How to Cite

Tidke, H. L. (2025). A GENERAL MODIFIED INTEGRAL TRANSFORM. Communications in Mathematics and Applications, 16(2). Retrieved from https://www.journals.rgnpublications.com/index.php/cma/article/view/3225

Issue

Vol. 16 No. 2 (2025)

Section

Research Article

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