Solution of fuzzy singular integral equation with Abel’s type kernel using a novel hybrid method

Abstract

Abstract In this paper, we are applying a novel analytical hybrid method to find the solution of a fuzzy Volterra Abel’s integral equation of the second kind. The fuzzy number is used in its parametric form under which the fuzzy Volterra Abel’s integral equation will be converted into a system of integral equations as in a crisp case. Moreover, to solve the general fuzzy Volterra integral equation with Abel’s type kernel, and to show that the proposed method is efficient, a few accurate and simple examples are given for the demonstration of our results.

Keywords

• Laplace transform
• Adomian Decomposition Method
• Fuzzy Volterra Abel’s integral equation
• Laplace Adomian Decomposition Method
• Fuzzy number