A nonlocal Cauchy problem for nonlinear generalized fractional integro-differential equations

Vinod V Kharat, Shivaji Ramchandra Tate, Anand Rajshekhar Reshimkar

Abstract


In this paper, we study the existence of solutions of a nonlocal Cauchy problem for nonlinear fractional integro-differential equations involving generalized Katugampola fractional derivative. By using fixed point theorems, the results are obtained in weighted space of continuous functions. In the last, results are illustrated with suitable examples.

Keywords


Fractional derivative, Fractional integration, Fractional integro--differential equation, Existence of solution, Fixed point theorem

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References


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DOI: http://dx.doi.org/10.24193/subbmath.2023.3.03

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