Ahmed HAMOUD, Nedal MOHAMMED, Kirtiwant GHADLE

Existence and Uniqueness Results for Volterra-Fredholm Integro Differential Equations

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 initial condition. New conditions on the nonlinear terms are given to pledge the equivalence. Finally, an illustrative example is also presented.

Keywords:

Caputo fractional derivative, Volterra-Fredholm integro-differential equation Caputo sense, Gronwall-Bellman's inequality, Banach contraction fixed point theorem,

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