loading page

Computation of Semi-Analytical Solutions to Fuzzy Non-linear Integral Equations
  • +1
  • Zia Ullah,
  • Aman Ullah,
  • Kamal Shah,
  • D. Baleanu
Zia Ullah
University of Malakand

Corresponding Author:ziamaths33@gmail.com

Author Profile
Aman Ullah
University of Malakand
Author Profile
Kamal Shah
University of Malakand
Author Profile
D. Baleanu
Cankaya Universitesi
Author Profile

Abstract

In this article, we use a fuzzy number in its parametric form and transform a non-linear fuzzy integral equations to its parametric form of the second kind as in the crisp case. The main focus is to solve the fuzzy non-linear integral equations for semi analytical solutions. The suggested treatment are presented for the solution of respective fuzzy non-linear integral equations including fuzzy non-linear Fredholm integral equation, fuzzy non-linear Volterra integral equations and fuzzy non-linear singular integral equation of Able's type kernel via an hybrid method of integral transform and decomposition technique. The proposed method is illustrated in details by solving few examples.