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