Existence and Uniqueness Results for Volterra-Fredholm Integro Differential Equations

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Advances in the Theory of Nonlinear Analysis and its Application
Volume:4 Issue:4
Existence and Uniqueness Results for Volterra-Fredholm Integro Differential Equations

Existence and Uniqueness Results for Volterra-Fredholm Integro Differential Equations

Authors : Ahmed HAMOUD, Nedal MOHAMMED, Kirtiwant GHADLE

Pages : 361-372

Doi:10.31197/atnaa.703984

View : 23 | Download : 7

Publication Date : 2020-12-30

Article Type : Research Paper

Abstract :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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