The Henstock-Kurzweil-Pettis integral and multiorders fractional differential equations with impulses and multipoint fractional integral boundary conditions in Banach spaces
Corresponding Author
Djamila Seba
Dynamic of Engines and Vibroacoustic Laboratory, University M'Hamed Bougara of Boumerdes, Boumerdes, Algeria
Correspondence
Djamila Seba, Dynamic of Engines and Vibroacoustic Laboratory, University M'Hamed Bougara of Boumerdes, Boumerdes, Algeria.
Email: [email protected]
Communicated by: T.E. Simos
Search for more papers by this authorSadek Habani
Dynamic of Engines and Vibroacoustic Laboratory, University M'Hamed Bougara of Boumerdes, Boumerdes, Algeria
Search for more papers by this authorAbbes Benaissa
Laboratory of Analysis and Control of PDEs, Sidi Bel-Abbès University, Sidi Bel-Abbès, Algeria
Search for more papers by this authorHamza Rebai
Laboratory of Dynamic Systems, University of Sciences and Technology Houari Boumediene, USTHB, Bab Ezzouar, Algeria
Search for more papers by this authorCorresponding Author
Djamila Seba
Dynamic of Engines and Vibroacoustic Laboratory, University M'Hamed Bougara of Boumerdes, Boumerdes, Algeria
Correspondence
Djamila Seba, Dynamic of Engines and Vibroacoustic Laboratory, University M'Hamed Bougara of Boumerdes, Boumerdes, Algeria.
Email: [email protected]
Communicated by: T.E. Simos
Search for more papers by this authorSadek Habani
Dynamic of Engines and Vibroacoustic Laboratory, University M'Hamed Bougara of Boumerdes, Boumerdes, Algeria
Search for more papers by this authorAbbes Benaissa
Laboratory of Analysis and Control of PDEs, Sidi Bel-Abbès University, Sidi Bel-Abbès, Algeria
Search for more papers by this authorHamza Rebai
Laboratory of Dynamic Systems, University of Sciences and Technology Houari Boumediene, USTHB, Bab Ezzouar, Algeria
Search for more papers by this authorAbstract
This paper is devoted to the existence of weak solutions for a multipoint fractional integral boundary value problem of an impulsive nonlinear differential equation involving multiorders fractional derivatives and deviating argument. We make use of an appropriate fixed point theorem combined with the technique of measures of weak noncompactness. Our investigation is considered in a Banach space. The applicability of the obtained results is illustrated by an example.
CONFLICT OF INTEREST
The authors declare that they have no conflict of interests.
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