Positive solutions for a three-point boundary value problem of fractional \(q\)-difference equations

DOI10.3390/SYM10090358zbMath1423.39010OpenAlexW2888624858MaRDI QIDQ2333740

Chen Yang

Publication date: 13 November 2019

Published in: Symmetry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3390/sym10090358

zbMATH Keywords

positive solutionsexistence and uniquenessfractional \(q\)-difference equationfixed point theorem on mixed monotone operators

Mathematics Subject Classification ID

Difference equations, scaling ((q)-differences) (39A13) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) (q)-gamma functions, (q)-beta functions and integrals (33D05) Functional-differential equations with fractional derivatives (34K37)

Related Items (3)

Unique iterative solution for high-order nonlinear fractional \(q\)-difference equation based on \(\psi-(h,r)\)-concave operators ⋮ Nonlinear fractional \(q\)-difference equation with fractional Hadamard and quantum integral nonlocal conditions ⋮ OPIAL-TYPE INEQUALITY ABOUT CONFORMABLE FRACTIONAL INTEGRALS AND THE APPLICATION

Cites Work

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• An approach of a heat-flux dependent theory for micropolar porous media
• Existence of solutions for fractional \(q\)-difference equation with mixed nonlinear boundary conditions
• Existence of solutions for nonlinear fractional \(q\)-difference inclusions with nonlocal Robin (separated) conditions
• Fixed point theorems for mixed monotone operators with perturbation and applications to fractional differential equation boundary value problems
• \(q\)-fractional calculus and equations
• Boundary value problems of fractional \(q\)-difference Schrödinger equations
• Impulsive fractional \(q\)-integro-difference equations with separated boundary conditions
• Three-point boundary value problems for nonlinear second-order impulsive \(q\)-difference equations
• Weak solutions in elasticity of dipolar porous materials
• Positive solutions for nonlinear operator equations and several classes of applications
• Positive and negative solutions of a boundary value problem for a fractional \(q\)-difference equation
• Nonlocal boundary value problems for second-order nonlinear Hahn integro-difference equations with integral boundary conditions
• A fractional \(q\)-difference equation with integral boundary conditions and comparison theorem
• The unique solution for a fractional \(q\)-difference equation with three-point boundary conditions
• A sum operator method for the existence and uniqueness of positive solutions to Riemann-Liouville fractional differential equation boundary value problems
• Modeling a microstretch thermoelastic body with two temperatures
• Mixed monotone operator methods for the existence and uniqueness of positive solutions to Riemann-Liouville fractional differential equation boundary value problems
• Existence results for fractional \(q\)-difference equations of order \(\alpha\in2,3[\) with three-point boundary conditions]
• Properties of positive solutions to a class of four-point boundary value problem of Caputo fractional differential equations with a parameter
• \(\varphi\)-\((h,e)\)-concave operators and applications
• 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
• Positive Solutions for Three-point Boundary Value Problem of Nonlinear Fractional q-difference Equation
• 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
• A new class of multivalently analytic functions associated with fractional q-calculus operators
• Some Fractional q-Integrals and q-Derivatives

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