On existence results for nonlinear fractional differential equations involving the \(p\)-Laplacian at resonance

DOI10.1007/s00009-015-0544-0zbMath1352.34006OpenAlexW1991711553MaRDI QIDQ327329

Lei Hu, Shu-Qin Zhang

Publication date: 19 October 2016

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-015-0544-0

zbMATH Keywords

\(p\)-Laplacianfractional differential equationscoincidence degree theorypointwise equicontinuity

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Applications of operator theory to differential and integral equations (47N20) Fractional ordinary differential equations (34A08)

Related Items (5)

Existence results for a coupled system of fractional differential equations with \(p\)-Laplacian operator and infinite-point boundary conditions ⋮ Existence theorems and Hyers-Ulam stability for a coupled system of fractional differential equations with \(p\)-Laplacian operator ⋮ Constructive existence of solutions of multi-point boundary value problem for Hilfer fractional differential equation at resonance ⋮ Existence results for a class of \(p\)-Laplacian fractional differential equations with integral boundary conditions ⋮ Hyers-Ulam stability and existence criteria for coupled fractional differential equations involving \(p\)-Laplacian operator

Cites Work

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• Solvability of differential equations of order \(2<{\alpha}\leq 3\) involving the \(p\)-Laplacian operator with boundary conditions
• Existence of solutions for nonlinear fractional three-point boundary value problems at resonance
• Existence results for a coupled system of nonlinear fractional three-point boundary value problems at resonance
• The existence of solutions to boundary value problems of fractional differential equations at resonance
• A boundary value problem for fractional differential equation with \(p\)-Laplacian operator at resonance
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Solvability for a coupled system of fractional differential equations at resonance
• More on Convergence of Continuous Functions and Topological Convergence of Sets
• Solvability of multi-point boundary value problem of nonlinear impulsive fractional differential equation at resonance

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