Boundary Value Problems For Fractional Differential Inclusions With Hadamard Type Derivatives In Banach Spaces

STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA(2017)

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Abstract
The authors establish sufficient conditions for the existence of solutions to boundary value problems for fractional differential inclusions involving the Hadamard type fractional derivative of order alpha is an element of (1, 2] in Banach spaces. Their approach uses Monch's fixed point theorem and the Kuratowski measure of noncompacteness.
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Key words
Fractional differential inclusion, Hadamard-type fractional derivative, fractional integral, Monch's fixed point theorem, Kuratowski measure of noncompacteness
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