Computation of semi-analytical solutions of fuzzy nonlinear integral equations

Advances in Difference Equations

Zia Ullah¹  Kamal Shah¹  Aman Ullah¹  Dumitru Baleanu² 

[1] Department of Mathematical, University of Malakand, Dir(L), Khyber Pakhtunkhwa, Pakistan;Department of Mathematics, Cankaya University, Ankara, Turkey;Institute of Space Sciences, Bucharest, Romania;Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, Taiwan;

关键词: Semi-analytical solution;    Fuzzy nonlinear Fredholm integral equation;    Fuzzy nonlinear Volterra integral equation;    Fuzzy singular integral equation;    Fuzzy number;   

DOI  :  10.1186/s13662-020-02989-z

来源: Springer

【 摘 要 】

In this article, we use a fuzzy number in its parametric form to solve a fuzzy nonlinear integral equation of the second kind in the crisp case. The main theme of this article is to find a semi-analytical solution of fuzzy nonlinear integral equations. A hybrid method of Laplace transform coupled with Adomian decomposition method is used to find the solution of the fuzzy nonlinear integral equations including fuzzy nonlinear Fredholm integral equation, fuzzy nonlinear Volterra integral equation, and fuzzy nonlinear singular integral equation of Abel type kernel. We also provide some suitable examples to better understand the proposed method.

【 授权许可】

CC BY