New existence results on Caputo Fractional derivative with non-linear Integral conditions via Fixed Point theorems

Authors

  • Karthik Raja U

DOI:

https://doi.org/10.23755/rm.v49i0.1439

Keywords:

Fractional Calculus, fractional integral, BVP, Caputo derivative, Lipschitz first derivatives, Existence, integral conditions, fixed point

Abstract

In this article, we investigate the sufficient conditions for the existence of solutions to a Caputo fractional derivative with a class of boundary value problem dependence on the lipschitz first derivative conditions in Banach Space. Our main tool is a fixed point theorem. An numerical example is given to clarify the results.

References

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Published

2023-11-19

Issue

Vol. 49 (2023): SPECIAL ISSUE: NEW DEVELOPMENTS IN MATHEMATICS AND COMPUTER SCIENCE

Section

Volume 49-2023

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