Solving Fuzzy Fractional Differential Equation with Fuzzy Laplace Transform Involving Coshx

Abstract

In this paper we obtain the solution of fuzzy fractional differential equation (FFDEs) under Riemann Liouville H-differentiability using fuzzy Laplace transform. To solve fractional differential equation involving hyperbolic cosine function, we use Riemann Liouville to obtain the unknown solution at initial point or the solution with increasing length of their Hukuhara support using the fuzzy Laplace transform. Research work on analytical method to solve the FFDEs under Riemann Liouville Hdifferentiability is limited in the literature. To confirm the capability of the proposed method we present a problem and its analytical solution.