The eigenvalue problem for Caputo type fractional differential equation with Riemann-Stieltjes integral boundary conditions

DOI10.1155/2018/2176809zbMath1400.34010OpenAlexW2887301535WikidataQ115243970 ScholiaQ115243970MaRDI QIDQ1796293

Yujun Cui, Wenjie Ma

Publication date: 17 October 2018

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2018/2176809

zbMATH Keywords

Green's functionRiemann-Stieltjes integralCaputo fractional equationGuo-Krasnoselskii's fixed point

Mathematics Subject Classification ID

Green's functions for ordinary differential equations (34B27) Applications of operator theory to differential and integral equations (47N20) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Boundary eigenvalue problems for ordinary differential equations (34B09) Fractional ordinary differential equations (34A08)

Related Items

On implicit impulsive Langevin equation involving mixed order derivatives, Existence of positive solutions for a system of nonlinear Caputo type fractional differential equations with two parameters, Multiple positive solutions for a system of nonlinear Caputo-type fractional differential equations, Existence and uniqueness of positive solutions for a new system of fractional differential equations, Positive solutions for a fourth-order Riemann-Stieltjes integral boundary value problem, Existence of positive solution for BVP of nonlinear fractional differential equation with integral boundary conditions, Nontrivial solutions for an integral boundary value problem involving Riemann-Liouville fractional derivatives, Positive solutions for a system of nonlinear Hadamard fractional differential equations involving coupled integral boundary conditions, Nontrivial solutions for a higher order nonlinear fractional boundary value problem involving Riemann-Liouville fractional derivatives

Cites Work

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• Nonlinear fractional differential equations with integral boundary value conditions
• Extinction and stationary distribution of an impulsive stochastic chemostat model with nonlinear perturbation
• Positive solution to a fractional boundary value problem
• Positive solutions to singular fractional differential system with coupled boundary conditions
• A survey on existence results for boundary value problems of nonlinear fractional differential equations and inclusions
• Existence and uniqueness of solutions for multi-point boundary value problems for fractional differential equations
• Existence of a positive solution to a class of fractional differential equations
• An existence result for nonlinear fractional differential equations on Banach spaces
• On positive solutions of a nonlocal fractional boundary value problem
• Monotone iterative technique for nonlinear boundary value problems of fractional order \(p\in(2,3\)]
• A fixed point theorem for systems of nonlinear operator equations and applications to \((p_1, p_2)\)-Laplacian system
• Existence and nonexistence of blow-up solutions for a Schrödinger equation involving a nonlinear operator
• A new ZK-BO equation for three-dimensional algebraic Rossby solitary waves and its solution as well as fission property
• Existence results for impulsive fractional integro-differential equation of mixed type with constant coefficient and antiperiodic boundary conditions
• The existence of solutions to integral boundary value problems of fractional differential equations at resonance
• Positive solutions for a system of nonlinear fractional nonlocal boundary value problems with parameters and \(p\)-Laplacian operator
• Positive solutions to singular Dirichlet-type boundary value problems of nonlinear fractional differential equations
• Existence and uniqueness of solutions for systems of fractional differential equations with Riemann-Stieltjes integral boundary condition
• The existence of solutions for four-point coupled boundary value problems of fractional differential equations at resonance
• Triple positive solutions for nonlocal fractional differential equations with singularities both on time and space variables
• Positive solutions for boundary value problems of fractional differential equation with integral boundary conditions
• The convergence analysis and error estimation for unique solution of a \(p\)-Laplacian fractional differential equation with singular decreasing nonlinearity
• Existence of solutions for a class of coupled fractional differential systems with nonlocal boundary conditions
• Resonant functional problems of fractional order
• On the uniqueness of solutions for a class of fractional differential equations
• The unique solution of a class of sum mixed monotone operator equations and its application to fractional boundary value problems
• The existence of a positive solution for nonlinear fractional differential equations with integral boundary value conditions
• Triple positive solutions for a boundary value problem of nonlinear fractional differential equation
• Uniqueness theorem of differential system with coupled integral boundary conditions
• Existence result for a class of coupled fractional differential systems with integral boundary value conditions
• Existence of positive solutions for singular fractional differential equations with infinite-point boundary conditions
• New uniqueness results for boundary value problem of fractional differential equation
• The existence and nonexistence of entire large solutions for a quasilinear Schrödinger elliptic system by dual approach