On solution of Diffusion Equation using Conformable Laplace Transform
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866913118395826176 |
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| author | Sarate, Somnath Khairnar, Anil Masalkar, Krishnat |
| author_facet | Sarate, Somnath Khairnar, Anil Masalkar, Krishnat |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_12157 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On solution of Diffusion Equation using Conformable Laplace Transform Sarate, Somnath Khairnar, Anil Masalkar, Krishnat Dynamical Systems Analysis of PDEs Functional Analysis Operator Algebras 44A10, 44A35 F.m 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. |
| title | On solution of Diffusion Equation using Conformable Laplace Transform |
| topic | Dynamical Systems Analysis of PDEs Functional Analysis Operator Algebras 44A10, 44A35 F.m |
| url | https://arxiv.org/abs/2605.12157 |