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Existence and Uniqueness Results for Nonlinear Fractional Volterra-Fredholm Integro-Differential Equations With Nonlocal Condition

Ahmed Hamoud, Aishwary Ghadle, Abdulrahman Sharif, Kirtiwant Ghadle

Abstract



Existence and Uniqueness Results for Nonlinear Fractional Volterra-Fredholm Integro-Differential Equations With Nonlocal Condition
Ahmed Hamoud1, Aishwary Ghadle2, Abdulrahman Sharif3, Kirtiwant Ghadle4

This paper establishes a study on some important latest innovations in the existence and uniqueness results by means of Krasnoselskii’s fixed point and the Banach fixed point theorems for Caputo fractional Volterra-Fredholm integro-differential equations with nonlocal condition. New conditions on the nonlinear terms are given to pledge the equivalence.

Keywords


Caputo fractional derivative, Volterra-Fredholm integro-differential equation, Krasnoselskii’s fixed point theorem, Banach fixed point theorem, Banach space.

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