An analytical solution for the Caputo type generalized fractional evolution equation
| Autor: | Panumart Sawangtong, Wannika Sawangtong |
|---|---|
| Rok vydání: | 2022 |
| Předmět: |
Mellin transform
Laplace transform Generalized Mellin transform Generalization Mathematics::Optimization and Control Mathematics::Classical Analysis and ODEs General Engineering Fractional Green’s functions Type (model theory) Caputo type generalized fractional derivative Engineering (General). Civil engineering (General) Generalized Laplace transform Mathematics::Numerical Analysis Fractional calculus Fractional evolution equations Evolution equation Applied mathematics TA1-2040 Fractional differential Variety (universal algebra) Mathematics |
| Zdroj: | Alexandria Engineering Journal, Vol 61, Iss 7, Pp 5475-5483 (2022) |
| ISSN: | 1110-0168 |
| DOI: | 10.1016/j.aej.2021.10.055 |
| Popis: | The Caputo type generalized fractional evolution equation is studied in this paper. Since the Caputo type generalized fractional derivative is well-known for being the generalization of Caputo fractional derivatives, this article’s studies contribute to the solving of a variety of fractional differential equations in the sense of Caputo type generalized fractional derivative and Caputo fractional derivative. Moreover, the fractional Green’s functions for those fractional differential equations are obtained. The generalized Laplace transform and generalized Mellin transform are used to effectively and successfully achieve the desired results. Importantly, the generalized Mellin transform is firstly proposed here. |
| Databáze: | OpenAIRE |
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