Non-homogeneous impulsive time fractional heat conduction equation
| Autor: | Arman Aghili |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2023 |
| Předmět: | |
| Zdroj: | Journal of Numerical Analysis and Approximation Theory (2023) |
| Druh dokumentu: | article |
| ISSN: | 2457-6794 2501-059X |
| DOI: | 10.33993/jnaat521-1316 |
| Popis: | This article provides a concise exposition of the integral transforms and its application to singular integral equation and fractional partial differential equations. The author implemented an analytical technique, the transform method, for solving the boundary value problems of impulsive time fractional heat conduction equation. Integral transforms method is a powerful tool for solving singular integral equations, evaluation of certain integrals involving special functions and solution of partial fractional differential equations. The proposed method is extremely concise, attractive as a mathematical tool. The obtained result reveals that the transform method is very convenient and effective.Certain new integrals involving the Airy functions are given. |
| Databáze: | Directory of Open Access Journals |
| Externí odkaz: |
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