Existence of positive solutions for singular higher-order fractional differential equation via spectral analysis

DOI10.1007/s12190-016-1013-zzbMath1377.34011OpenAlexW2350807597WikidataQ115377196 ScholiaQ115377196MaRDI QIDQ1676995

Chun Liu, Limin Guo

Publication date: 10 November 2017

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12190-016-1013-z

zbMATH Keywords

singularitypositive solutionfixed point indexspectral analysisfractional differential equation

Mathematics Subject Classification ID

Applications of operator theory to differential and integral equations (47N20) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Singular nonlinear boundary value problems for ordinary differential equations (34B16) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Fractional ordinary differential equations (34A08)

Related Items (3)

Positive solutions to singular Dirichlet-type boundary value problems of nonlinear fractional differential equations ⋮ Positive solutions for singular higher-order semipositone fractional differential equations with conjugate type integral conditions ⋮ SOLVABILITY FOR NONLINEAR SINGULAR FRACTIONAL DIFFERENTIAL SYSTEMS WITH MULTI-ORDERS

Cites Work

• Unnamed Item
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• The eigenvalue for a class of singular \(p\)-Laplacian fractional differential equations involving the Riemann-Stieltjes integral boundary condition
• The spectral analysis for a singular fractional differential equation with a signed measure
• Nontrivial solutions for a higher fractional differential equation with fractional multi-point boundary conditions
• The uniqueness of positive solution for a singular fractional differential system involving derivatives
• The eigenvalue problem for a singular higher order fractional differential equation involving fractional derivatives
• Existence and multiplicity of positive solutions for singular fractional boundary value problems
• Positive solutions for singular higher-order fractional differential equations with nonlocal conditions
• Existence and uniqueness of solutions to a fractional difference equation with nonlocal conditions
• Positive solutions for a nonlocal fractional differential equation
• Existence of positive solutions for singular higher-order differential equations
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Existence of positive solutions of nonlinear fractional differential equations
• Positive solutions for nonlinear fractional differential equations with boundary conditions involving Riemann-Stieltjes integrals
• Existence results for multiple positive solutions of nonlinear higher order perturbed fractional differential equations with derivatives
• The uniqueness of positive solution for a fractional order model of turbulent flow in a porous medium
• The iterative solutions of nonlinear fractional differential equations
• The existence of positive solutions for the singular fractional differential equation
• Existence of positive solutions for the singular fractional differential equations

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