Publications Scientifiques
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Item 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 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 Measure of noncompactness and hyperbolic partial fractional differential equations in banach spaces(2010) Benchohra, M.; Nieto, J.J.; Seba, DjamilaItem Bounded solutions for boundary value problems for fractional differential equations on a banach space and the half line(2011) Benchohra, M.; Seba, DjamilaItem Integral equations of fractional order with multiple time delays in Banach spaces(2012) Benchohra, M.; Seba, DjamilaIn this article, we give sufficient conditions for the existence of solutions for an integral equation of fractional order with multiple time delays in Banach spaces. Our main tool is a fixed point theorem of Mönch type associated with measures of noncompactness. Our results are illustrated by an example. © 2012 Texas State University - San Marcos