The solution of a new Caputo-like fractional \(h\)-difference equation
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Publication:1799916
DOI10.1216/RMJ-2018-48-5-1607zbMath1402.39006OpenAlexW2897746913MaRDI QIDQ1799916
Xiang Liu, Mei Wang, Feifei Du, Baoguo Jia
Publication date: 19 October 2018
Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/euclid.rmjm/1539936038
Discrete version of topics in analysis (39A12) Difference operators (39A70) Difference equations, scaling ((q)-differences) (39A13)
Related Items (4)
Some new results for nonlinear fractional \(h\)-difference systems with ``maxima ⋮ Asymptotic stability of \((q, h)\)-fractional difference equations ⋮ A generalized h-fractional Gronwall's inequality and its applications for nonlinear h-fractional difference systems with ‘maxima’ ⋮ Discrete fractional distributed Halanay inequality and applications in discrete fractional order neural network systems
Cites Work
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- Stability of nonlinear Caputo fractional differential equations
- Stability analysis for nonlinear fractional-order systems based on comparison principle
- Fractional h-difference equations arising from the calculus of variations
- Discrete Fractional Calculus
- Discrete fractional calculus with the nabla operator
- Initial value problems in discrete fractional calculus
- Overview of Fractional h-difference Operators
- Stability of nonlinear h-difference systems with n fractional orders
- A discrete fractional Gronwall inequality
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