Concreted solutions to fuzzy linear fractional differential equations

• Fuzzy linear fractional differential equations in form D0+αy(x)=λ⊙y(x)+f(x), under Riemann–Liouville H-differentiability are studied.
• Some of the previous results on solutions of these equations are concreted.
• New solutions are obtained using the fractional hyperbolic functions and their properties.
• An application and two examples are given to illustrate our results.

In this paper, we studied fuzzy linear fractional differential equations (FLFDEs), under Riemann–Liouville H-differentiability as the fuzzy initial value problems D0+αy(x)=λ⊙y(x)+f(x). Some of the previous results on solutions of these equations are concreted. We obtained new solutions by using the fractional hyperbolic functions and their properties, in details. Finally, an application and two examples are given to illustrate our results.