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Existence and uniqueness for a problem involving hilfer fractional derivative. (English) Zbl 1268.34013
Summary: We consider an initial value problem for a class of nonlinear fractional differential equations involving Hilfer fractional derivative. We prove existence and uniqueness of global solutions in the space of weighted continuous functions. The stability of the solution for a weighted Cauchy-type problem is also analyzed.

34A08 Fractional ordinary differential equations and fractional differential inclusions
45J05 Integro-ordinary differential equations
Full Text: DOI
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