Multiplicity of Solutions for Fractional-Order Differential Equations via the κ(x)-Laplacian Operator and the Genus Theory
نویسندگان
چکیده
In this paper, we investigate the existence and multiplicity of solutions for a class quasi-linear problems involving fractional differential equations in χ-fractional space Hκ(x)γ,β;χ(Δ). Using Genus Theory, Concentration-Compactness Principle, Mountain Pass Theorem, show that under certain suitable assumptions considered problem has at least k pairs non-trivial solutions.
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15 صفحه اولexistence and multiplicity of positive solutions for a coupled system of perturbed nonlinear fractional differential equations
in this paper, we consider a coupled system of nonlinear fractional differential equations (fdes), such that bothequations have a particular perturbed terms. using emph{leray-schauder} fixed point theorem, we investigate the existence and multiplicity of positive solutions for this system.
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ژورنال
عنوان ژورنال: Fractal and fractional
سال: 2022
ISSN: ['2504-3110']
DOI: https://doi.org/10.3390/fractalfract6090481