Publications Scientifiques
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Item Quasilinear coupled system in the frame of nonsingular ABC-derivatives with p-laplacian operator at resonance(Springer Nature, 2024) Bouloudene, Mokhtar; Jarad, Fahd; Adjabi, Yassine; Panda, Sumati KumariWe investigate the existence of solutions for coupled systems of fractional p-Laplacian quasilinear boundary value problems at resonance given by the Atangana–Baleanu–Caputo (shortly, ABC) derivatives formulations are based on the well-known Mittag-Leffler kernel utilizing Ge’s application of Mawhin’s continuation theorem. Examples are provided to demonstrate our findings.Item Fixed point theorems in the study of positive strict set-contractions(Universidad Catolica del Norte, 2021) Mechrouk, SalimaThe author uses fixed point index properties and Inspired by the work in Benmezai and Boucheneb (see Theorem 3.8 in [3]) to prove new fixed point theorems for strict set-contraction defined on a Banach space and leaving invariant a coneItem The Henstock-Kurzweil-Pettis integral and multiorders fractional differential equations with impulses and multipoint fractional integral boundary conditions in Banach spaces(Wiley, 2021) Seba, Djamila; Habani, Sadek; Benaissa, Abbes; Rebai, HamzaThis 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 exampleItem The index-jump property for 1-homogeneous positive maps and fixed point theorems in cones(2017) Benmezai, Abdelhamid; Bouchenb, Besma; Henderson, Johnny; Mechrou, SalimaWe present in this paper new fixed point theorems for positive maps having approximative minorant and majorant at 0 and ¥ in specific classes of operatorsItem On the application of measure of noncompactness to the existence of solutions for fractional differential equations(Springer, 2009) Agarwal, Ravi P.; Benchohra, Mouffak; Seba, DjamilaItem Bounded solutions for boundary value problems for fractional differential equations on a banach space and the half line(2011) Benchohra, M.; Seba, Djamila