Measure of noncompactness for nonlinear Hilfer fractional differential equation with mixed fractional integral boundary conditions in Banach space

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Maamar Benbachir
Abdelatif Boutiara


The aim of this work is to study the existence of solutions to a class of fractional differential equations with a mixed of fractional integral boundary conditions involving the Hilfer fractional derivative. The proof is based on Monch's fixed point theorem and the technique of measures of noncompactness. Two examples illustrating the main results are also constructed.



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Benbachir, M. and Boutiara, A. 2022. Measure of noncompactness for nonlinear Hilfer fractional differential equation with mixed fractional integral boundary conditions in Banach space. Journal of Innovative Applied Mathematics and Computational Sciences. 2, 1 (May 2022), 27–42. DOI:
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