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arXiv · 2605.12157

On solution of Diffusion Equation using Conformable Laplace Transform

Somnath Sarate·Anil Khairnar·Krishnat Masalkar
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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.

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Somnath Sarate, Anil Khairnar, Krishnat Masalkar. 2026-05-12. On solution of Diffusion Equation using Conformable Laplace Transform. https://arxiv.org/abs/2605.12157

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