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Volume 2, Issue 3, September 2017, Page: 95-99
A Coupling Method of Regularization and Adomian Decomposition for Solving a Class of the Fredholm Integral Equations Within Local Fractional Operators
Hassan Kamil Jassim, Department of Mathematics, Faculty of Education for Pure Sciences, University of Thi-Qar, Nasiryah, Iraq
Received: Feb. 9, 2017;       Accepted: Mar. 13, 2017;       Published: Mar. 29, 2017
Abstract
In this paper, we will apply the combined regularization-Adomian decomposition method within local fractional differential operators to handle local fractional Fredholm integral equation of the first kind. Theoretical considerations are being discussed. To illustrate the ability and simplicity of the method, some examples are provided. The iteration procedure is based on local fractional derivative. The obtained results reveal that the proposed methods are very efficient and simple tools for solving local fractional integral equations.
Keywords
Local Fractional Fredholm Integral Equation, Local Fractional Adomian Decomposition Method, Local Fractional Operator
Hassan Kamil Jassim, A Coupling Method of Regularization and Adomian Decomposition for Solving a Class of the Fredholm Integral Equations Within Local Fractional Operators, International Journal of Discrete Mathematics. Vol. 2, No. 3, 2017, pp. 95-99. doi: 10.11648/j.dmath.20170203.16
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