Existence and uniqueness of solutions for fractional boundary value problem with fractional boundary value conditions

DOI10.1007/s12346-013-0103-7zbMath1315.39003OpenAlexW2071629210MaRDI QIDQ489200

Shancui Guo, Xian-nan Luo

Publication date: 27 January 2015

Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12346-013-0103-7

zbMATH Keywords

Green's functionsexistence of solutionsuniqueness of solutionsfixed point theoremsdiscrete fractional calculusfractional boundary value problems

Mathematics Subject Classification ID

Discrete version of topics in analysis (39A12) General theory of difference equations (39A05) Fractional ordinary differential equations (34A08)

Related Items (2)

Existence and uniqueness of limit cycle in discontinuous planar differential systems ⋮ Existence of solutions of discrete fractional problem coupled to mixed fractional boundary conditions

Cites Work

• On a fractional boundary value problem with fractional boundary conditions
• Existence and uniqueness of solutions to a fractional difference equation with nonlocal conditions
• Positive solutions of nonlinear functional difference equations
• Green functions and positive solutions for boundary value problems of third-order difference equations
• On a discrete fractional three-point boundary value problem
• Two-point boundary value problems for finite fractional difference equations
• Initial value problems in discrete fractional calculus
• Two positive solutions of a boundary value problem for difference equations
• On positive solutions to nonlocal fractional and integer-order difference equations
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