Publications Scientifiques
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Item Revisiting generalized Caputo derivatives in the context of two-point boundary value problems with the p-Laplacian operator at resonance(Springer Nature, 2023) Adjabi, Yassine; Jarad, Fahd; Bouloudene, Mokhtar; Panda, Sumati KumariThe novelty of this paper is that, based on Mawhin’s continuation theorem, we present some sufficient conditions that ensure that there is at least one solution to a particular kind of a boundary value problem with the p-Laplacian and generalized fractional Caputo derivative.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 A symbolic approach to multiple Hurwitz zeta values at non-positive integers(De Gruyter, 2023) Sadaoui, Boualem; Jarad, Fahd; Adjabi, Yacine; Türkan, Erkan MuratIn this article, we give another method to calculate the values of multiple Hurwitz zeta function at non-positive integers by means of Raabe’s formula and the Bernoulli numbers and we simplify these values by symbolic computation techniquesItem On abstract Cauchy problems in the frame of a generalized Caputo type derivative(DergiPark, 2023) Bourchi, Soumia; Jarad, Fahd; Adjabi, Yassine; Thabet, Abdeljawad; Mahariq, IbrahimIn this paper, we consider a class of abstract Cauchy problems in the framework of a generalized Caputo type fractional. We discuss the existence and uniqueness of mild solutions to such a class of fractional differential equations by using properties found in the related fractional calculus, the theory of uniformly continuous semigroups of operators and the fixed point theorem. Moreover, we discuss the continuous dependence on parameters and Ulam stability of the mild solutions. At the end of this paper, we bring forth some examples to endorse the obtained results