On generalized singular fractional differential initial value problems
Abstract
The main object of the present article is the study of an abstract singular fractional differential equation subject to some initial conditions. Under appropriate assumptions on the initial conditions we obtained the explicit solution of the given singular fractional differential equation after decoupling it into two separate equations of different nature. Finally, two concrete examples of singular fractional differential initial value problems are given at the end of this work.
Copyright © 2021 Belkis Aouri, Said Mazouzi. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
B. Aouri, S. Mazouzi, On generalized singular fractional differential initial value problems, J. Math. Comput. Sci. 11 (2021), 1535–1556. https://doi.org/10.28919/jmcs/5348
BibTeX
@article{Aouri2021,
author = {Aouri, Belkis and Mazouzi, Said},
title = {On generalized singular fractional differential initial value problems},
journal = {J. Math. Comput. Sci.},
volume = {11},
year = {2021},
pages = {1535--1556},
doi = {10.28919/jmcs/5348}
}