Nonlinear implicit Hadamard’s fractional differential equations with delay in Banach space. (English) Zbl 1362.34010

Summary: In this paper, we establish sufficient conditions for the existence of solutions for nonlinear Hadamard-type implicit fractional differential equations with finite delay. The proof of the main results is based on the measure of noncompactness and the Darbo’s and Mönch’s fixed point theorems. An example is included to show the applicability of our results.


34A08 Fractional ordinary differential equations
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