Existence and multiplicity of positive solutions for a system of fractional differential equation with parameters

DOI10.1186/s13661-017-0808-7zbMath1366.34032OpenAlexW2620075227WikidataQ59517099 ScholiaQ59517099MaRDI QIDQ2362502

Xiaoling Han, Xiaojuan Yang

Publication date: 10 July 2017

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

Full work available at URL: https://doi.org/10.1186/s13661-017-0808-7

zbMATH Keywords

coneGreen's functionKrasnosel'skii fixed point theoremsystem of fractional differential equation

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18)

Related Items

Existence of positive solution to the boundary value problems for coupled system of nonlinear fractional differential equations ⋮ Existence and simulation of positive solutions for \(m\)-point fractional differential equations with derivative terms ⋮ Existence theorems and Hyers-Ulam stability for a coupled system of fractional differential equations with \(p\)-Laplacian operator ⋮ Denumerably many positive solutions for a \(n\)-dimensional higher-order singular fractional differential system ⋮ EXISTENCE THEOREMS AND HYERS-ULAM STABILITY FOR A CLASS OF HYBRID FRACTIONAL DIFFERENTIAL EQUATIONS WITH P -LAPLACIAN OPERATOR ⋮ STABILITY RESULTS AND EXISTENCE THEOREMS FOR NONLINEAR DELAY-FRACTIONAL DIFFERENTIAL EQUATIONS WITH <inline-formula><tex-math id="M1">$ \varphi^*_P $</tex-math></inline-formula>-OPERATOR ⋮ Existence and Stability of the Solution to a Coupled System of Fractional-order Differential with a $p$-Laplacian Operator under Boundary Conditions

Cites Work

• Unnamed Item
• Unnamed Item
• The existence of solutions for a nonlinear fractional multi-point boundary value problem at resonance
• Uniqueness of solution for boundary value problems for fractional differential equations
• Boundary value problem for a coupled system of nonlinear fractional differential equations
• Positive solutions for nonlinear eigenvalue problems
• Existence results and the monotone iterative technique for nonlinear fractional differential systems with coupled four-point boundary value problems
• Positive periodic solutions of functional differential equations
• Existence nonexistence and multiplicity of periodic solutions for a kind of functional differential equation with parameter
• Existence and uniqueness of positive solutions to a coupled system of nonlinear fractional order differential equations with anti periodic boundary conditions
• Existence and multiplicity of positive solutions for elliptic systems
• Positive solutions for boundary value problem of nonlinear fractional differential equation