In this paper, we investigate the existence, uniqueness, and stability of the periodic solution for the system of nonlinear integro-differential equations by using the numerical-analytic methods for investigating the solutions and the periodic solutions of ordinary differential equations, which are given by A. Samoilenko.
In this paper we investigate the existence and approximation of the periodic solutions for certain systems of nonlinear integro-differential equations, by using the method of successive periodic approximation of ordinary differential equations which is given by A. M. Samoilenko. Also these investigation lead us to the improving the extending the above method.
This article investigates periodic solutions for new nonlinear of integro-differential equations depended on special functions with singular kernels and boundary integral conditions by using the numerical analytic method which was introduced by Samoilenko method. Theorems on existence and uniqueness of a periodic solution are established under some necessary and sufficient conditions on closed and bounded domains.
The aim of this work is finding some result's in the existence, uniqueness and stability solutions of new fractional integral equations of Volterra Fridlhom types by using Picard approximation method. Theorems on existence and uniqueness of a solution are established under some necessary and sufficient conditions on compact spaces. Furthermore, the study leads us to improve and extend the above method and the study become more general and detailed than those introduced by Butris results.
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