Numerical and Analytic Method for Solving Proposal Fuzzy Nonlinear Volterra Integral Equation by Using Homotopy Analysis Method
American Journal of Applied Mathematics
Volume 4, Issue 3, June 2016, Pages: 142-157
Received: May 4, 2016; Accepted: May 14, 2016; Published: May 28, 2016
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Authors
Sameer Qasim Hasan, College of Education, Department of Mathematics, Al-Mustansiriya University, Baghdad, Iraq
Alan Jalal Abdulqader, College of Education, Department of Mathematics, Al-Mustansiriya University, Baghdad, Iraq
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Abstract
In this paper, we presented the convergence of the solution for the nonlinear fuzzy volterra integral equation with high computational and complexity to find the solution in analytical method, so we describable this solution by using Homotopy analysis method, by using Banach fixed point theory for existence and uniqueness. That with explained numerical examples. Finally using the MAPLE program to solve our problem.
Keywords
Fuzzy Number, Volterra nonlinear Integral Equation, Operator of Fuzzy Number, Fuzzy Integral, Homotopy Analysis Method
To cite this article
Sameer Qasim Hasan, Alan Jalal Abdulqader, Numerical and Analytic Method for Solving Proposal Fuzzy Nonlinear Volterra Integral Equation by Using Homotopy Analysis Method, American Journal of Applied Mathematics. Vol. 4, No. 3, 2016, pp. 142-157. doi: 10.11648/j.ajam.20160403.15
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Copyright © 2016 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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