Resonant functional problems of fractional order

DOI10.1016/J.CHAOS.2016.08.003zbMath1372.34048OpenAlexW2511344456MaRDI QIDQ2410448

Weihua Jiang, Nickolai Kosmatov

Publication date: 18 October 2017

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2016.08.003

zbMATH Keywords

resonanceCarathéodory conditionsRiemann-Liouville fractional derivativefunctional conditionscoincidence degree theory

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Nonlinear resonances for nonlinear problems in mechanics (70K30) Functional-differential equations with fractional derivatives (34K37)

Related Items (21)

Solvability for Multi-Point BVP of Nonlinear Fractional Differential Equations at Resonance with Three Dimensional Kernels ⋮ Existence results for a coupled system of fractional differential equations with \(p\)-Laplacian operator and infinite-point boundary conditions ⋮ Existence and uniqueness criteria for the higher-order Hilfer fractional boundary value problems at resonance ⋮ Existence of solutions for fractional differential equations with infinite point boundary conditions at resonance ⋮ Existence of solutions for integral boundary value problems of mixed fractional differential equations under resonance ⋮ Existence of solutions for functional boundary value problems at resonance on the half-line ⋮ Existence of solutions to fractional boundary value problems at resonance in Hilbert spaces ⋮ Triple positive solutions for fractional differential equation boundary value problems at resonance ⋮ Existence of solutions for fractional Sturm-Liouville boundary value problems with \(p(t)\)-Laplacian operator ⋮ The existence of solutions to integral boundary value problems of fractional differential equations at resonance ⋮ Nonlinear differential equations involving mixed fractional derivatives with functional boundary data ⋮ Existence of solutions for a three-point Hadamard fractional resonant boundary value problem ⋮ Existence of solutions for a nonlocal boundary value problem at resonance on the half-line ⋮ Solvability of fractional multi-point boundary value problems with nonlinear growth at resonance ⋮ Existence results for fractional order differential equation with nonlocal Erdélyi-Kober and generalized Riemann-Liouville type integral boundary conditions at resonance ⋮ POSITIVE SOLUTIONS OF FRACTIONAL DIFFERENTIAL EQUATION BOUNDARY VALUE PROBLEMS AT RESONANCE ⋮ Necessary conditions for the existence of positive solutions to fractional boundary value problems at resonance ⋮ The eigenvalue problem for Caputo type fractional differential equation with Riemann-Stieltjes integral boundary conditions ⋮ On two abstract Caputo multi-term sequential fractional boundary value problems under the integral conditions ⋮ SOLVABILITY FOR RIEMANN-STIELTJES INTEGRAL BOUNDARY VALUE PROBLEMS OF BAGLEY-TORVIK EQUATIONS AT RESONANCE ⋮ Solvability of mixed Hilfer fractional functional boundary value problems with \(p\)-Laplacian at resonance

Cites Work

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• The existence of solutions for a fractional 2\(m\)-point boundary value problems
• The existence of solutions to boundary value problems of fractional differential equations at resonance
• Existence of solutions to functional boundary value problem of second-order nonlinear differential equation
• Existence results for a functional boundary value problem of fractional differential equations
• Solvability for a coupled system of fractional differential equations at resonance
• Resonant boundary value problems for singular multi-term fractional differential equations

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