## Solving fuzzy fractional differential equations by fuzzy Laplace transforms.(English)Zbl 1245.35146

Summary: 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 $$f, (^{RL}D_{\alpha^+}^{\beta}f)(x)$$. The virtue of $$\mathbf {L}[(^{RL}D_{\alpha^+}^{\beta}f)(x)]$$ is that can be written in terms of $$\mathbf {L}[f(x)]$$. Moreover, some illustrative examples are solved to show the efficiency and utility of Laplace transforms method.

### MSC:

 35R13 Fuzzy partial differential equations 35R11 Fractional partial differential equations 44A10 Laplace transform
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