Eigenvalue problem for fractional differential equations with nonlinear integral and disturbance parameter in boundary conditions

DOI10.1186/s13661-016-0548-0zbMath1335.34055OpenAlexW2260713748WikidataQ59468186 ScholiaQ59468186MaRDI QIDQ257313

Xiaotong Guo, Wen-Xia Wang

Publication date: 16 March 2016

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-016-0548-0

zbMATH Keywords

coneeigenvalue problempositive solutionCaputo fractional derivativedisturbance parameterintegral boundary value problem

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) 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) Parameter dependent boundary value problems for ordinary differential equations (34B08) Boundary eigenvalue problems for ordinary differential equations (34B09) Fractional ordinary differential equations (34A08)

Related Items (11)

A family of singular ordinary differential equations of the third order with an integral boundary condition ⋮ Unique positive solutions for boundary value problem of p-Laplacian fractional differential equation with a sign-changed nonlinearity ⋮ Existence and uniqueness of nontrivial solution for nonlinear fractional multi-point boundary value problem with a parameter ⋮ Some new existence and uniqueness results for an integral boundary value problem of Caputo fractional differential equations ⋮ Solutions for a System of Hadamard Fractional Differential Equations with Integral Conditions ⋮ Eigenvalue problem for nonlinear elastic beam equation of fractional order ⋮ Nonlocal q-fractional boundary value problem with Stieltjes integral conditions ⋮ Properties of positive solutions for \(m\)-point fractional differential equations on an infinite interval ⋮ Properties of Green's function and the existence of different types of solutions for nonlinear fractional BVP with a parameter in integral boundary conditions ⋮ A coupled system of fractional differential equations on the half-line ⋮ A class of nonlocal problems of fractional differential equations with composition of derivative and parameters

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