Solving fractional difference equations using the Laplace transform method
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Publication:1722379
DOI10.1155/2014/230850zbMath1472.39014OpenAlexW2013491832WikidataQ59036402 ScholiaQ59036402MaRDI QIDQ1722379
Publication date: 14 February 2019
Published in: Abstract and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2014/230850
Fractional derivatives and integrals (26A33) Laplace transform (44A10) Discrete version of topics in analysis (39A12) Difference equations, scaling ((q)-differences) (39A13)
Related Items (7)
Weighted bounded solutions for a class of nonlinear fractional equations ⋮ Some further results of the Laplace transform for variable-order fractional difference equations ⋮ Analytical solutions of linear fractional partial differential equations using fractional Fourier transform ⋮ Mittag-Leffler stability analysis of fractional discrete-time neural networks via fixed point technique ⋮ Variable-order fractional discrete-time recurrent neural networks ⋮ Existence and uniqueness of solution for a nonhomogeneous discrete fractional initial value problem ⋮ The Poisson distribution, abstract fractional difference equations, and stability
Uses Software
Cites Work
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- Existence of a positive solution to a system of discrete fractional boundary value problems
- On discrete sequential fractional boundary value problems
- Existence of a positive solution to systems of differential equations of fractional order
- The Laplace transform in discrete fractional calculus
- On Riemann and Caputo fractional differences
- Matrix approach to discrete fractional calculus. II: Partial fractional differential equations
- Initial value problems in discrete fractional calculus
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