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**Complex transforms for systems of fractional differential equations.**
*(English)*
Zbl 1257.35194

Summary: We provide a complex transform that maps the complex fractional differential equation into a system of fractional differential equations. The homogeneous and nonhomogeneous cases for equivalence equations are discussed and also nonequivalence equations are studied. Moreover, the existence and uniqueness of solutions are established and applications are illustrated.

### MSC:

35R11 | Fractional partial differential equations |

35A01 | Existence problems for PDEs: global existence, local existence, non-existence |

35A02 | Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness |

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\textit{R. W. Ibrahim}, Abstr. Appl. Anal. 2012, Article ID 814759, 15 p. (2012; Zbl 1257.35194)

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