Existence and uniqueness of solution of fractional order differential equation of finite delay in cone metric space
Abstract
In this paper, we use Caputo sence to prove the existence and uniqueness of solutions to fractional differential equations with finite delay and nonlocal conditions in cone metric space. The result is achieved by applying several expansions of Banach’s contraction principle to the entire cone metric space, as well as providing an illustration of the primary result.
Copyright © 2022 S.K. Talankar, A.B. Jadhav, R.A. Muneshwar. 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. K. Talankar, A. B. Jadhav, R. A. Muneshwar, Existence and uniqueness of solution of fractional order differential equation of finite delay in cone metric space, J. Math. Comput. Sci. 12 (2022), 109. https://doi.org/10.28919/jmcs/7195
BibTeX
@article{Talankar2022,
author = {Talankar, S.K. and Jadhav, A.B. and Muneshwar, R.A.},
title = {Existence and uniqueness of solution of fractional order differential equation of finite delay in cone metric space},
journal = {J. Math. Comput. Sci.},
volume = {12},
year = {2022},
pages = {109},
doi = {10.28919/jmcs/7195}
}