System of Linear Fractional Integro-Differential Equations by using Adomian Decomposition Method
نویسندگان
چکیده
In this paper, Adomian decomposition method is applied to solve system linear fractional integro-differential equations. The fractional derivative is considered in the Caputo sense. Special attentions are given to study the convergence of the proposed method. Finally, some numerical examples are provided to show that this method is computationally efficient. Refer ences A. Arikoglu, and I. Ozkol , Solution of fractional differential equations by using differential transform method, Chaos Soliton Fractals. 34(2007), 1473-1481.
منابع مشابه
Modified Laplace decomposition method for fractional Volterra-Fredholm integro-differential equations
This paper successfully applies the Adomian decomposition and the modified Laplace Adomian decomposition methods to find the approximate solution of a nonlinear fractional Volterra-Fredholm integro-differential equation. The reliability of the methods and reduction in the size of the computational work give these methods a wider applicability. Also, the behavior of the solution can be formall...
متن کاملSome New Existence, Uniqueness and Convergence Results for Fractional Volterra-Fredholm Integro-Differential Equations
This paper demonstrates a study on some significant latest innovations in the approximated techniques to find the approximate solutions of Caputo fractional Volterra-Fredholm integro-differential equations. To this aim, the study uses the modified Adomian decomposition method (MADM) and the modified variational iteration method (MVIM). A wider applicability of these techniques are based on thei...
متن کاملAnalytical-Approximate Solution for Nonlinear Volterra Integro-Differential Equations
In this work, we conduct a comparative study among the combine Laplace transform and modied Adomian decomposition method (LMADM) and two traditional methods for an analytic and approximate treatment of special type of nonlinear Volterra integro-differential equations of the second kind. The nonlinear part of integro-differential is approximated by Adomian polynomials, and the equation is reduce...
متن کاملComparison of Adomian Decomposition and Taylor Expansion Methods for the Solutions of Fractional Integro-Differential Equations
In this paper will be compared between Adomian decomposition method (ADM) and Taylor expansion method (TEM) for solving (approximately) a class of fractional integro-differential equations. Numerical examples are presented to illustrate the efficiency and accuracy of the proposed methods. General Terms Numerical solutions, Fractional integro-differential equations.
متن کاملSolving the fractional integro-differential equations using fractional order Jacobi polynomials
In this paper, we are intend to present a numerical algorithm for computing approximate solution of linear and nonlinear Fredholm, Volterra and Fredholm-Volterra integro-differential equations. The approximated solution is written in terms of fractional Jacobi polynomials. In this way, firstly we define Riemann-Liouville fractional operational matrix of fractional order Jacobi polynomials, the...
متن کامل