New results on nonlocal fractional Volterra-Fredholm integro-differential equations
Abstract
This paper considers nonlinear fractional mixed Volterra-Fredholm integro-differential equation with a nonlocal initial condition. We propose a fixed-point approach to investigate the existence and uniqueness of solutions. Results of this paper are based on nonstandard assumptions and hypotheses and provide a supplementary result concerning the regularity of solutions.
Copyright © 2021 Amol D. Khandagale, Ahmed A. Hamoud, Kirtiwant P. Ghadle. 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
A. D. Khandagale, A. A. Hamoud, K. P. Ghadle, New results on nonlocal fractional Volterra-Fredholm integro-differential equations, J. Math. Comput. Sci. 11 (2021), 6193–6204. https://doi.org/10.28919/jmcs/6050
BibTeX
@article{Khandagale2021,
author = {Khandagale, Amol D. and Hamoud, Ahmed A. and Ghadle, Kirtiwant P.},
title = {New results on nonlocal fractional Volterra-Fredholm integro-differential equations},
journal = {J. Math. Comput. Sci.},
volume = {11},
year = {2021},
pages = {6193--6204},
doi = {10.28919/jmcs/6050}
}