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

Karthik Raja U

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.

Keywords


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

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References


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DOI: http://dx.doi.org/10.23755/rm.v49i0.1439

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