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Caputo-Hadamard fractional differential equation with three-point boundary conditions in Banach spaces

Abdelatif Boutiara Kaddour Guerbati Maamar Benbachir

*Corresponding author: Abdelatif Boutiara Boutiara_a@yahoo.com

Math2020,1,259doi:10.3934/math.2020017

We introduce a more general class of fractional-order boundary value problems involving the Caputo-Hadamard fractional derivative. Existence results for the given problem are established by applying the Mönch’s fixed point theorem and the technique of measures of noncompactness. an example is given to illustrate our results. The boundary conditions introduced in this work are of quite general nature and reduce to many special cases by fixing the parameters involved in the conditions.

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