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EXISTENCE, UNIQUENESS AND STABILITY SOLUTION OF VOLTERRA-FRIEDHOLM OF INTEGRO-DIFFERENTIAL EQUATIONS

Journal: International Journal of Mechanical Engineering and Technology(IJMET) (Vol.10, No. 7)

Publication Date:

Authors : ; ;

Page : 68-81

Keywords : Picard approximation method; Existence and uniqueness; Integrodifferential equations; Stability solution; Banach fixed point theorem;

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Abstract

This article investigates existence, uniqueness and stability solutions of new Volterra- Friedholm of integro-differential equations by using both method Picard approximation and Banach fixed point theorem which was introduced by Rama. Theorems on existence and uniqueness of a solution are established under some necessary and sufficient conditions on compact spaces. Also expand the some results gained by Butris .

Last modified: 2020-01-07 14:39:07