Research Article
System of Linear Fractional Integro-Differential Equations by using Adomian Decomposition Method
|
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
|
| Volume 121 - Issue 24 |
| Published: July 2015 |
| Authors: M. H.Saleh, D.Sh.Mohamed, M.H.Ahmed, M.K. Marjan |
10.5120/21872-5117
|
M. H.Saleh, D.Sh.Mohamed, M.H.Ahmed, M.K. Marjan . System of Linear Fractional Integro-Differential Equations by using Adomian Decomposition Method. International Journal of Computer Applications. 121, 24 (July 2015), 9-19. DOI=10.5120/21872-5117
@article{ 10.5120/21872-5117,
author = { M. H.Saleh,D.Sh.Mohamed,M.H.Ahmed,M.K. Marjan },
title = { System of Linear Fractional Integro-Differential Equations by using Adomian Decomposition Method },
journal = { International Journal of Computer Applications },
year = { 2015 },
volume = { 121 },
number = { 24 },
pages = { 9-19 },
doi = { 10.5120/21872-5117 },
publisher = { Foundation of Computer Science (FCS), NY, USA }
}
%0 Journal Article
%D 2015
%A M. H.Saleh
%A D.Sh.Mohamed
%A M.H.Ahmed
%A M.K. Marjan
%T System of Linear Fractional Integro-Differential Equations by using Adomian Decomposition Method%T
%J International Journal of Computer Applications
%V 121
%N 24
%P 9-19
%R 10.5120/21872-5117
%I Foundation of Computer Science (FCS), NY, USA
Abstract
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.
References
- A. Arikoglu, and I. Ozkol , Solution of fractional differential equations by using differential transform method, Chaos Soliton Fractals. 34(2007), 1473-1481.
- A. M. Wazwaz, The combined Laplace transform-Adomian decomposition method for handling nonlinear Volterra integro- differential equations, Appl. Math. Comput. 216, 2010, pp. 1304-1309.
- E. A. Rawashdeh, Numerical of fractional integro-differential equations by collocation method, Appl. Math. Comput. 176 (2006) 1-6.
- I. Podlubny, Fractional Differential Equations, Academic press, New York, 1999.
- I. Podlubny, 1999. Fractional differential equations: an introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications. New York: Academic press.
- Hashim I (2006). Adomian decomposition method for solving BVPs for fourth-order integro-differential equations. Journal of Computational and Applied Mathematics 193, pp. 658^a_A _S664.
- R. C. Mittal, R. Nigam, Solution of fractional integro-differential equations by Adomian decomposition method, Int. J. of Appl. Math. and Mech, 4(2) (2008) 87-94.
- O. A, Taiwo, and Odetunde, O. S. , Approximation of Multi-Order Fractional Differential Equations by an Iterative Decomposition Method, Amer. J. Engr. Sci. Tech. Res. , 1 (2):1-9, (2013).
- Momani, S. and A. Qaralleh, 2006. An efficient method for solving systems of fractional integro-differential equations, Applied Mathematics and Computation, 52: 459-470.
- Momani, S. and M. A. Noor, 2006. Numerical methods for fourth order fractional integro-differential equations, Applied Mathematics and Computation, 182: 754-760.
- Rawashdeh, E. A. , 2006. Numerical solution of fractional integro-differential equations by collocation method, Applied Mathematics and Computation, 176: 1-6.
Index Terms
Keywords