A New Modified Integral Transform

Authors

  • H. L. Tidke Department of Mathematics, Kavayitri Bahinabai Chaudhari North Maharashtra University, Jalgaon 425001, Maharashtra, India https://orcid.org/0000-0002-4156-7383
  • Lina B. Agrawal Department of Mathematics, Kavayitri Bahinabai Chaudhari North Maharashtra University, Jalgaon 425001, Maharashtra, India https://orcid.org/0009-0000-4790-462X

DOI:

https://doi.org/10.26713/cma.v16i2.3225

Keywords:

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

Abstract

We introduce a new modified integral transform – 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, 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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Published

20-08-2025
CITATION

How to Cite

Tidke, H. L., & Agrawal, L. B. (2025). A New Modified Integral Transform. Communications in Mathematics and Applications, 16(2), 581–598. https://doi.org/10.26713/cma.v16i2.3225

Issue

Vol. 16 No. 2 (2025)

Section

Research Article

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