Existence and uniqueness of solution of fractional order differential equation of finite delay in cone metric space

S.K. Talankar, A.B. Jadhav, R.A. Muneshwar

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.

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Published: 2022-03-14

How to 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), Article ID 109

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.

 

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