Existence and uniqueness of solutions to a fractional difference equation with \(p\)-Laplacian operator

DOI10.1007/S12190-016-1003-1zbMath1394.39007OpenAlexW2468584724MaRDI QIDQ1676979

Shurong Sun, Yongshun Zhao, Yongxiang Zhang

Publication date: 10 November 2017

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12190-016-1003-1

zbMATH Keywords

boundary value problemLaplacian operatorBrouwer fixed point theoremcontraction mapping theoremfractional difference equation

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Fractional derivatives and integrals (26A33) Discrete version of topics in analysis (39A12) Difference equations, scaling ((q)-differences) (39A13)

Related Items (4)

Existence of local solutions for fractional difference equations with left focal boundary conditions ⋮ POSITIVE SOLUTIONS FOR A <i>P</i>-LAPLACIAN TYPE SYSTEM OF IMPULSIVE FRACTIONAL BOUNDARY VALUE PROBLEM<inline-formula><tex-math id="M1">$ ^* $</tex-math></inline-formula> ⋮ Existence of local solutions for fractional difference equations with Dirichlet boundary conditions ⋮ POSITIVE SOLUTIONS FOR A NONLINEAR DISCRETE FRACTIONAL BOUNDARY VALUE PROBLEM WITH A <inline-formula><tex-math id="M1">$ P $</tex-math></inline-formula>-LAPLACIAN OPERATOR

Cites Work

• Positive solutions for eigenvalue problems of fractional differential equation with generalized \(p\)-Laplacian
• Existence and uniqueness of solutions to a fractional difference equation with nonlocal conditions
• Solvability for discrete fractional boundary value problems with a \(p\)-Laplacian operator
• The existence and nonexistence of positive solutions to a discrete fractional boundary value problem with a parameter
• Two-point boundary value problems for finite fractional difference equations

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