Existence of local solutions for fractional difference equations with left focal boundary conditions
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Publication:2020235
DOI10.1515/fca-2021-0014zbMath1499.39020OpenAlexW3134753388MaRDI QIDQ2020235
Jeffrey T. Neugebauer, Johnny Henderson
Publication date: 23 April 2021
Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/fca-2021-0014
fixed pointlocal solutionAtıcı-Eloe fractional sums and differencesleft focal boundary value problem
Fractional derivatives and integrals (26A33) Difference equations, scaling ((q)-differences) (39A13) Boundary value problems for difference equations (39A27)
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Cites Work
- Unnamed Item
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- Multiplicity and uniqueness for a class of discrete fractional boundary value problems.
- Existence and uniqueness of solutions to a fractional difference equation with nonlocal conditions
- Existence of a positive solution to a system of discrete fractional boundary value problems
- Fractional-order nonlinear systems. Modeling, analysis and simulation
- Fractional order signal processing. Introductory concepts and applications.
- Continuity of solutions to discrete fractional initial value problems
- Modeling with fractional difference equations
- Existence of a positive solution to a class of fractional differential equations
- Existence and uniqueness of solutions to a fractional difference equation with \(p\)-Laplacian operator
- On existence of positive solutions for a class of discrete fractional boundary value problems
- Coercive nonlocal elements in fractional differential equations
- Coercivity of linear functionals on finite dimensional spaces and its application to discrete BVPs
- Systems of semipositone discrete fractional boundary value problems
- Two-point boundary value problems for finite fractional difference equations
- Initial value problems in discrete fractional calculus
- Parameter dependence for existence, nonexistence and multiplicity of nontrivial solutions for an Atıcı–Eloe dofractional difference Lidstone BVP
- Smallest eigenvalues for a fractional difference equation with right focal boundary conditions
- Existence of local solutions for fractional difference equations with Dirichlet boundary conditions
- Comparison of Green's functions for a family of boundary value problems for fractional difference equations
- Convexity for nabla and delta fractional differences
- Diversity and Non‐Integer Differentiation for System Dynamics
- Summation equations with sign changing kernels and applications to discrete fractional boundary value problems