An analytical solution for the Caputo type generalized fractional evolution equation
2
Issued Date
2022-07-01
Resource Type
ISSN
11100168
Scopus ID
2-s2.0-85119066423
Journal Title
Alexandria Engineering Journal
Volume
61
Issue
7
Start Page
5475
End Page
5483
Rights Holder(s)
SCOPUS
Bibliographic Citation
Alexandria Engineering Journal Vol.61 No.7 (2022) , 5475-5483
Suggested Citation
Sawangtong W., Sawangtong P. An analytical solution for the Caputo type generalized fractional evolution equation. Alexandria Engineering Journal Vol.61 No.7 (2022) , 5475-5483. 5483. doi:10.1016/j.aej.2021.10.055 Retrieved from: https://repository.li.mahidol.ac.th/handle/123456789/84591
Title
An analytical solution for the Caputo type generalized fractional evolution equation
Author(s)
Other Contributor(s)
Abstract
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.