Positive solutions using bifurcation techniques for boundary value problems of fractional differential equations

DOI10.1155/2013/162418zbMath1303.34018OpenAlexW2076384989WikidataQ58915398 ScholiaQ58915398MaRDI QIDQ2016661

Yansheng Liu

Publication date: 20 June 2014

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/162418

zbMATH Keywords

topological degree theory

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Applications of operator theory to differential and integral equations (47N20) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Boundary eigenvalue problems for ordinary differential equations (34B09) Fractional ordinary differential equations (34A08)

Related Items (13)

Approximate iterative sequences for positive solutions of a Hadamard type fractional differential system involving Hadamard type fractional derivatives ⋮ Existence and global behavior of the solution to a parabolic equation with nonlocal diffusion ⋮ Bifurcation from interval and positive solutions of the three-point boundary value problem for fractional differential equations ⋮ Multiple solutions for a class of boundary value problems of fractional differential equations with generalized Caputo derivatives ⋮ Controllability of fractional measure evolution systems with state-dependent delay and nonlocal condition ⋮ Existence and uniqueness results for a coupled system of nonlinear fractional differential equations with antiperiodic boundary conditions ⋮ Nontrivial solutions for the \(2n^{\text{th}}\) Lidstone boundary value problem ⋮ Existence of positive solutions for second-order third-point semipositive BVP ⋮ Existence of multiple solutions for second-order problem with Stieltjes integral boundary condition ⋮ EXISTENCE RESULTS OF SOLUTIONS FOR SOME FRACTIONAL NEUTRAL FUNCTIONAL INTEGRO-DIFFERENTIAL EQUATIONS WITH INFINITE DELAY ⋮ Existence of positive solutions for a fractional high-order three-point boundary value problem ⋮ Multiple positive solutions for a class of boundary value problem of fractional \((p, q)\)-difference equations under \((p, q)\)-integral boundary conditions ⋮ Controllability of nonlinear fractional evolution systems in Banach spaces: a survey

Cites Work

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• Initial value problems for fractional differential equations involving Riemann-Liouville sequential fractional derivative
• Bifurcation from interval and positive solutions for second order periodic boundary value problems
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• Existence of solutions for nonlocal boundary value problems of higher-order nonlinear fractional differential equations
• The positive properties of the Green function for Dirichlet-type boundary value problems of nonlinear fractional differential equations and its application
• Bifurcation from interval and positive solutions of a nonlinear fourth-order boundary value problem
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Bifurcation techniques for Lidstone boundary value problems
• Differential equations of fractional order:methods results and problem —I
• Differential Equations of Fractional Order: Methods, Results and Problems. II
• Positive solutions for boundary value problem of nonlinear fractional differential equation
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