Existence and Convergence Results for Caputo Fractional Volterra Integro-Differential Equations
Journal Title: Journal of Mathematics and Applications - Year 2018, Vol 41, Issue
Abstract
In this article, homotopy analysis method is successfully applied to find the approximate solution of Caputo fractional Volterra integro-differential equation. The reliability of the method and reduction in the size of the computational work give this method a wider applicability. Also, the behavior of the solution can be formally determined by analytical approximate. Moreover, we proved the existence and convergence of the solution. Finally, an example is included to demonstrate the validity and applicability of the proposed technique.
Authors and Affiliations
Ahmed A. Hamoud, M. Sh. Bani Issa, Kirtiwant P. Ghadle, Mohammed Abdulghani
Keywords
Related Articles
- EP ID EP426973
- DOI 10.7862/rf.2018.9
- Views 81
- Downloads 0
On a Cubic Integral Equation of Urysohn Type with Linear Perturbation of Second Kind
In this paper, we concern by a very general cubic integral equation and we prove that this equation has a solution in C[0,1]. We apply the measure of noncompactness introduced by Banaś and Olszowy and Darbo's fixed point...
On the solutions of a class of nonlinear functional integral equations in space C [0,a]
The principal aim of this paper is to give sufficient conditions for solvability of a class of some nonlinear functional integral equations in the space of continuous functions defined on interval [0, a]. The main tool u...
On Population Dynamics with Campaign on Contraception as Control Strategy
This work considers a population divided into two groups according to the adoption of contraception. The campaign in favour of contraception is modelled as a bounded optimal control problem within the framework of the lo...
Some results on 2-absorbing ideals in commutative semirings
In this paper, we study the concepts of 2-absorbing and weakly 2-absorbing ideals in a commutative semiring with non-zero identity which is a generalization of prime ideals of a commutative semiring and prove number of r...
Structure of solutions of nonautonomous optimal control problems in metric spaces
We establish turnpike results for a nonautonomous discrete-time optimal control system describing a model of economic dynamics.