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Study of composite fractional relaxation differential equation using fractional operators with and without singular kernels and special functions.
- Source :
-
Advances in Difference Equations . 1/29/2021, Vol. 2021 Issue 1, p1-16. 16p. - Publication Year :
- 2021
-
Abstract
- Our aim in this article is to solve the composite fractional relaxation differential equation by using different definitions of the non-integer order derivative operator D t α , more specifically we employ the definitions of Caputo, Caputo–Fabrizio and Atangana–Baleanu of non-integer order derivative operators. We apply the Laplace transform method to solve the problem and express our solutions in terms of Lorenzo and Hartley's generalised G function. Furthermore, the effects of the parameters involved in the model are graphically highlighted. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 16871839
- Volume :
- 2021
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Advances in Difference Equations
- Publication Type :
- Academic Journal
- Accession number :
- 148404243
- Full Text :
- https://doi.org/10.1186/s13662-021-03227-w