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The Henstock‐Kurzweil‐Pettis integral and multiorders fractional differential equations with impulses and multipoint fractional integral boundary conditions in Banach spaces
Author(s) -
Seba Djamila,
Habani Sadek,
Benaissa Abbes,
Rebai Hamza
Publication year - 2019
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.6020
Subject(s) - mathematics , banach space , fixed point theorem , fractional calculus , mathematical analysis , boundary value problem , integral equation , nonlinear system , initial value problem , argument (complex analysis) , biochemistry , chemistry , physics , quantum mechanics
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.