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

Authors :
Benbachir, Maamar
Boutiara, Abdelatif
Benbachir, Maamar
Boutiara, Abdelatif
Source :
Journal of Innovative Applied Mathematics and Computational Sciences; Vol. 2 No. 1 (2022): January-June; 27-42; 2773-4196; ark:/49935/jiamcs.v2i1
Publication Year :
2022

Abstract

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.

Details

Database :
OAIster
Journal :
Journal of Innovative Applied Mathematics and Computational Sciences; Vol. 2 No. 1 (2022): January-June; 27-42; 2773-4196; ark:/49935/jiamcs.v2i1
Notes :
application/pdf, English
Publication Type :
Electronic Resource
Accession number :
edsoai.on1338835412
Document Type :
Electronic Resource