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

Advances in Difference Equations

article

Bushnaq, S.¹  Ullah, Z.²  Ullah, A.²  Shah, K.² 

[1] Department of Basic Sciences, Princess Sumaya University for Technology;Department of Mathematics, University of Malakand

关键词: Laplace transform;    Adomian Decomposition Method;    Fuzzy Volterra Abel’s integral equation;    Laplace Adomian Decomposition Method;    Fuzzy number;   

DOI  :  10.1186/s13662-020-02623-y

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

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.

【 授权许可】

CC BY