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 Nonlinear singular p -laplacian boundary value problems in the frame of conformable derivative(American Institute of Mathematical Sciences, 2021) Bouloudene, Mokhtar; Alqudah, Manar A.; Fahd, Jarad; Adjabi, Yassine; Abdeljawad, ThabetThis paper studies a class of fourth point singular boundary value problem of p-Laplacian operator in the setting of a specific kind of conformable derivatives. By using the upper and lower solutions method and fixed point theorems on cones., necessary and sufficient conditions for the existence of positive solutions are obtained. In addition, we investigate the dependence of the solution on the order of the conformable differential equation and on the initial conditions.