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.