scholarly journals On the Existence and Uniqueness of Solution for the Fractional Fredholm Integro-Differential Equation through the Fractional Variational Orthogonal Collocation method with Mamadu-Njoseh orthogonal basis functions

2021 ◽  
Vol 9 (6) ◽  
Author(s):  
Jonathan Tsetimi
Keyword(s):  
Differential Equation ◽  
Collocation Method ◽  
Existence And Uniqueness ◽  
Orthogonal Basis ◽  
Basis Functions ◽  
Uniqueness Of Solution ◽  
Orthogonal Collocation ◽  
Integro Differential Equation

scholarly journals On solvability of nonlinear integro-differential equation

2020 ◽  
pp. 127-134
Author(s):  
А.В. Юлдашева
Keyword(s):  
Differential Equation ◽  
Existence And Uniqueness ◽  
Initial Problem ◽  
Uniqueness Of Solution ◽  
Integro Differential Equation ◽  
Peridynamic Model

В настоящей работе рассматривается задача с начальными данными для нелинейного интегро-дифференциального уравнения, связанного с перидинамической моделью. Доказывается существование и единственность решения. In this paper we consider initial problem for nonlinear integro-differential equation related to peridynamic model. The existence and uniqueness of solution are proved.

Some numerical graphs with successive approximation method of fractional integro–differential equation

2019 ◽  
Vol 8 (4) ◽  
pp. 36
Author(s):  
Samir H. Abbas
Keyword(s):  
Differential Equation ◽  
Successive Approximation ◽  
Approximation Method ◽  
Existence And Uniqueness ◽  
Successive Approximation Method ◽  
Integro Differential Equation

This paper studies the existence and uniqueness solution of fractional integro-differential equation, by using some numerical graphs with successive approximation method of fractional integro –differential equation. The results of written new program in Mat-Lab show that the method is very interested and efficient. Also we extend the results of Butris [3].

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