Solving fuzzy fractional differential equations by fuzzy Laplace transforms

This paper deals with the solutions of fuzzy fractional differential equations (FFDEs) under Riemann–Liouville H-differentiability by fuzzy Laplace transforms. In order to solve FFDEs, it is necessary to know the fuzzy Laplace transform of the Riemann–Liouville H-derivative of f  , RLDa+βf(x). The virtue of LRLDa+βf(x) is that can be written in terms of L[f(x)]. Moreover, some illustrative examples are solved to show the efficiency and utility of Laplace transforms method.

► Fuzzy fractional H-differentiability is provided. ► The fuzzy Laplace transform of fuzzy fractional derivatives is obtained. ► Some new basic properties of fuzzy Laplace transforms are derived. ► Fuzzy fractional differential equations is solved using mentioned method.