The Approximate Solutions for Volterra Integro-Differential Equations within Local Fractional Integral Operators

Authors

  • Hassan Kamil Jassim Department of Mathematics, Faculty of Education for Pure Sciences, University of Thi-Qar, Nasiriyah, Iraq
  • Hussein Khashan Kadhim Department of Mathematics, Faculty of Education for Pure Sciences, University of Thi-Qar, Nasiriyah, Iraq

Keywords:

Volterra integro-differential equations, Local fractional Laplace transform method, Local fractional derivative operator, Local fractional integral operator.

Abstract

In this paper, we use the Yang-Laplace transform on Volterra integro-differential equations of the second kind within the local fractional integral operators to obtain the nondifferentiable approximate solutions. The iteration procedure is based on local fractional derivative operators. This approach provides us with a convenient way to find solution with less computation as compared with local fractional variational iteration method. Some illustrative examples are discussed. The results show that the methodology is very efficient and simple tool for solving integral equations.

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Published

2019-04-23

Issue

Vol. 12 No. 3 (2017)

Section

Articles