On solution of Diffusion Equation using Conformable Laplace Transform
Dynamical Systems
2026-05-13 v1 Analysis of PDEs
Functional Analysis
Operator Algebras
Abstract
The inversion theorem and convolution theorem of the conformable fractional Laplace transforms are developed. All the elementary properties of the classical Laplace transform are extended to the conformable fractional transform, and using these properties, we found analytical solutions to the initial-boundary value problems of the diffusion equation.
Cite
@article{arxiv.2605.12157,
title = {On solution of Diffusion Equation using Conformable Laplace Transform},
author = {Somnath Sarate and Anil Khairnar and Krishnat Masalkar},
journal= {arXiv preprint arXiv:2605.12157},
year = {2026}
}
Comments
24