On abstract fractional integro-differential equations via measure of noncompactness
Abstract
This paper deals with the study of existence, uniqueness and stability of solutions of fractional integro-differential equations involving Caputo derivative in Banach spaces. Our tools employed are fractional calculus, Hölder inequality and Darbo-Sadovskii fixed point theorem via Hausdorff's measure of noncompactness.
Copyright © 2016 Sabri T. M. Thabet, Machindra B. Dhakne. 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. T. M. Thabet, M. B. Dhakne, On abstract fractional integro-differential equations via measure of noncompactness, Adv. Fixed Point Theory 6 (2016), 175–193.
BibTeX
@article{Thabet2016,
author = {Thabet, Sabri T. M. and Dhakne, Machindra B.},
title = {On abstract fractional integro-differential equations via measure of noncompactness},
journal = {Adv. Fixed Point Theory},
volume = {6},
year = {2016},
pages = {175--193},
doi = {}
}