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Fractional complex transforms for fractional differential equations. (English) Zbl 1377.35266
Summary: The fractional complex transform is employed to convert fractional differential equations analytically in the sense of the Srivastava-Owa fractional operator and its generalization in the unit disk. Examples are illustrated to elucidate the solution procedure including the space-time fractional differential equation in complex domain, singular problems and Cauchy problems. Here, we consider analytic solutions in the complex domain.

MSC:
35R11 Fractional partial differential equations
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