Existence of positive solutions for two-point boundary value problems of nonlinear fractional \(q\)-difference equation

DOI10.1186/s13662-018-1578-yzbMath1446.39017OpenAlexW2805273460MaRDI QIDQ1712242

Caixia Guo, Ying Gao, Jianmin Guo, Shu-Gui Kang

Publication date: 21 January 2019

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-018-1578-y

zbMATH Keywords

positive solutiontwo-point boundary value problemfixed point theoremfractional \(q\)-difference calculus

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Difference equations, scaling ((q)-differences) (39A13) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Fractional ordinary differential equations (34A08) Boundary value problems for difference equations (39A27)

Related Items

Analytic general solutions of nonlinear second-order \(q\)-difference equations with a double characteristic value ⋮ Existence and stability analysis for a class of fractional pantograph \(q\)-difference equations with nonlocal boundary conditions ⋮ Holomorphic solutions of some functional equations related to nonlinear second orderq-difference equations which has only one characteristic value

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Existence of solutions for fractional \(q\)-difference equation with mixed nonlinear boundary conditions
• New concepts of fractional quantum calculus and applications to impulsive fractional \(q\)-difference equations
• Existence results for nonlocal boundary value problems of nonlinear fractional \(q\)-difference equations
• Existence of solutions for nonlinear fractional \(q\)-difference inclusions with nonlocal Robin (separated) conditions
• Positive solutions for a class of boundary value problems with fractional \(q\)-differences
• Impulsive fractional \(q\)-integro-difference equations with separated boundary conditions
• Eigenvalue of boundary value problem for nonlinear singular third-order \(q\)-difference equations
• On nonlocal fractional \(q\)-integral boundary value problems of fractional \(q\)-difference and fractional \(q\)-integrodifference equations involving different numbers of order and \(q\)
• Positive solutions for three-point boundary value problems with dependence on the first order derivative.
• Positive solutions for singular coupled integral boundary value problems of nonlinear higher-order fractional \(q\)-difference equations
• Positive and negative solutions of a boundary value problem for a fractional \(q\)-difference equation
• Existence of solutions for nonlinear second-order \(q\)-difference equations with first-order \(q\)-derivatives
• Existence solutions for boundary value problem of nonlinear fractional \(q\)-difference equations
• On a class of sequential fractional \(q\)-integrodifference boundary value problems involving different numbers of \(q\) in derivatives and integrals
• Existence and multiplicity of positive solutions for nonhomogeneous boundary value problems with fractional \(q\)-derivatives
• Existence and uniqueness of positive solutions for three-point boundary value problem with fractional \(q\)-differences
• Nonlinear second-order \(q\)-difference equations with three-point boundary conditions
• Floquet theory for q-difference equations
• Nontrivial solutions for fractional<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>q</mml:mi></mml:math>-difference boundary value problems
• Some Fractional q-Integrals and q-Derivatives
• Quantum calculus
• Existence of extremal solutions for a nonlinear fractional \(q\)-difference system