Existence and nonexistence of positive solutions of a fractional thermostat model with a parameter

DOI10.1002/mma.3878zbMath1370.34020OpenAlexW2280913183MaRDI QIDQ2830323

Hui Zhou, Liu Yang, Chun-Fang Shen

Publication date: 28 October 2016

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.3878

zbMATH Keywords

conefixed pointpositive solutionfractional differential equationthermostat model

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) 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) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Fractional ordinary differential equations (34A08)

Related Items (12)

Positive solutions to a fractional thermostat model in Banach spaces via fixed point results ⋮ On the fractional variable order thermostat model: existence theory on cones via piece-wise constant functions ⋮ Existence and nonexistence of solutions for a class of \(p\)-Laplacian-type fractional four-point boundary-value problems with a parameter ⋮ Multiple positive solutions for nonlinear mixed fractional differential equation with \(p\)-Laplacian operator ⋮ Existence and nonexistence of positive solutions for fractional three-point boundary value problems with a parameter ⋮ Fractional analog of a chemical system inspired by Braess' paradox ⋮ On positive solutions for a fractional thermostat model with a convex-concave source term via \(\psi \)-Caputo fractional derivative ⋮ Positive solutions of fractional \(p\)-Laplacian equations with integral boundary value and two parameters ⋮ Positive solutions in the space of Hölder functions to a fractional thermostat model ⋮ Positive solutions of a fractional thermostat model with a parameter ⋮ Analysis of a hybrid integro-differential inclusion ⋮ Existence results for multi-point boundary value problem to singular fractional differential equations with a positive parameter

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Positive solutions of a fractional thermostat model
• Existence of positive solutions for a thermostat model
• Existence of positive solutions for the boundary value problem of nonlinear fractional differential equations
• Positive solutions for a class of singular fractional boundary value problems
• Three nonnegative solutions for fractional differential equations with integral boundary conditions
• Multiple positive solutions for the boundary value problem of a nonlinear fractional differential equation
• Theory of fractional functional differential equations
• Existence results for a coupled system of nonlinear fractional differential equations with three-point boundary conditions
• On the fractional calculus in abstract spaces and their applications to the Dirichlet-type problem of fractional order
• Positive solutions for Dirichlet problems of singular nonlinear fractional differential equations
• Multiple solutions for fractional differential equations with nonlinear boundary conditions
• A singular boundary value problem for nonlinear differential equations of fractional order
• The positive properties of the Green function for Dirichlet-type boundary value problems of nonlinear fractional differential equations and its application
• On positive solutions of a nonlocal fractional boundary value problem
• Nonzero solutions of Hammerstein integral equations with discontinuous kernels
• Existence of positive solutions of nonlinear fractional differential equations
• Loss of positivity in a nonlinear scalar heat equation
• POSITIVE SOLUTIONS OF NONLOCAL BOUNDARY VALUE PROBLEMS: A UNIFIED APPROACH
• Gradual loss of positivity and hidden invariant cones in a scalar heat equation

This page was built for publication: Existence and nonexistence of positive solutions of a fractional thermostat model with a parameter