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On recent developments in the theory of abstract differential equations with fractional derivatives. (English) Zbl 1229.34004
From the authors’ abstract: This note is motivated from some recent papers treating the problem of the existence of a solution for abstract differential equations with fractional derivatives. We show that the existence results in a lot of papers are incorrect since the considered variation of constant formula is not appropriate. In this note, we also consider a different approach to treat a general class of abstract fractional differential equations.

MSC:
34A08Fractional differential equations
34K30Functional-differential equations in abstract spaces
34G20Nonlinear ODE in abstract spaces