Volume 1, Issue 1, December 2016, Page: 20-29
An Analytic Approach to Weakly-Singular Integro-Dynamic Equation on Time Scales
Adil Mısır, Department of Mathematics, Faculty of Science, Gazi University, Teknikokullar, Turkey
Received: Dec. 12, 2016;       Accepted: Dec. 22, 2016;       Published: Jan. 16, 2017
DOI: 10.11648/j.dmath.20160101.14      View  3007      Downloads  95
Abstract
In this paper, we present a new and simple approach to resolve linear and nonlinear weakly-singular Volterra integro-dynamic equations of first and second order on any time scales. In order to eliminate the singularity of the equation, nabla derivative is used and then transforming the given first-order integro-dynamic equations onto an first-order dynamic equations on time scales. The validity of the method is illustrated with some examples.
Keywords
Time Scales, Integro-Dynamic Equations, Volterra Integro-Differential Equation
To cite this article
Adil Mısır, An Analytic Approach to Weakly-Singular Integro-Dynamic Equation on Time Scales, International Journal of Discrete Mathematics. Vol. 1, No. 1, 2016, pp. 20-29. doi: 10.11648/j.dmath.20160101.14
Copyright
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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