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J. Math. Comput. Sci. 11 (2021), 6392–6402

Existence of solutions of integro-fractional differential equation when α∈(2,3] through fixed point theorem

Shayma Adil Murad, Ava Shafeeq Rafeeq

Abstract

In this work, the existence and uniqueness theorems for integro-differential equation involving the Caputo fractional derivative are established under some sufficient conditions and example for application the results of the theorems are presented.

Published
9 August 2021
Volume
11 (2021)
License
CC BY 3.0

Copyright © 2021 Shayma Adil Murad, Ava Shafeeq Rafeeq. 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

S. A. Murad, A. S. Rafeeq, Existence of solutions of integro-fractional differential equation when α∈(2,3] through fixed point theorem, J. Math. Comput. Sci. 11 (2021), 6392–6402. https://doi.org/10.28919/jmcs/6272

BibTeX
@article{Murad2021,
  author  = {Murad, Shayma Adil and Rafeeq, Ava Shafeeq},
  title   = {Existence of solutions of integro-fractional differential equation when α∈(2,3] through fixed point theorem},
  journal = {J. Math. Comput. Sci.},
  volume  = {11},
  year    = {2021},
  pages   = {6392--6402},
  doi     = {10.28919/jmcs/6272}
}