EXISTENCE OF THREE POSITIVE SOLUTIONS FOR A CLASS OF RIEMANN-LIOUVILLE FRACTIONAL <i>Q</i>-DIFFERENCE EQUATION

DOI10.11948/2156-907X.20180118zbMath1462.39006OpenAlexW2976515082MaRDI QIDQ5859357

Shiwang Kang, Luping Li, Yaqiong Cui, Shiwang Ma, Huiqin Chen

Publication date: 16 April 2021

Published in: Journal of Applied Analysis & Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11948/2156-907x.20180118

zbMATH Keywords

positive solutionsfixed point theoremfractional difference equationfractional \(q\)-integralfractional \(q\)-derivative

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)

Related Items (2)

DYNAMICAL BEHAVIOR AND SOLUTION OF NONLINEAR DIFFERENCE EQUATION VIA FIBONACCI SEQUENCE ⋮ Solutions of two fractional \(q\)-integro-differential equations under sum and integral boundary value conditions on a time scale

Cites Work

• Unnamed Item
• Unnamed Item
• Eigenvalue problems of fractional \(q\)-difference equations with generalized \(p\)-Laplacian
• Positive solutions for nonlinear semipositone fractional \(q\)-difference system with coupled integral boundary conditions
• Positive solutions for a class of boundary value problems with fractional \(q\)-differences
• A method for solving differential equations of \(q\)-fractional order
• The existence of multiple positive solutions for boundary value problems of nonlinear fractional differential equations
• Monotone iterative method for nonlinear fractional \(q\)-difference equations with integral boundary conditions
• Monotone iterative technique for a nonlinear fractional \(q\)-difference equation of Caputo type
• Positive and negative solutions of a boundary value problem for a fractional \(q\)-difference equation
• A fractional \(q\)-difference equation with integral boundary conditions and comparison theorem
• Existence of positive solutions of nonlinear fractional \(q\)-difference equation with parameter
• Existence results for fractional \(q\)-difference equations with nonlocal \(q\)-integral boundary conditions
• The unique solution for a fractional \(q\)-difference equation with three-point boundary conditions
• A study of nonlinear fractional \(q\)-difference equations with nonlocal integral boundary conditions
• Some Fractional q-Integrals and q-Derivatives

This page was built for publication: EXISTENCE OF THREE POSITIVE SOLUTIONS FOR A CLASS OF RIEMANN-LIOUVILLE FRACTIONAL <i>Q</i>-DIFFERENCE EQUATION