Fixed points and asymptotic stability of nonlinear fractional difference equations
By Fulai Chen. 2011
58 citations recorded by the source corpus.
In this paper, we discuss nonlinear fractional difference equations with the Caputo like difference operator. Some asymptotic stability results of equations under investigated are obtained by employing Schauder fixed point theorem and discrete Arzela-Ascoli’s theorem. Three examples are also provided to illustrate our main results.
Subfields: Applied Mathematics, Modeling and Simulation, Public Health, Environmental and Occupational Health
View Paper: https://www.semanticscholar.org/paper/61bbf6e0b2b64e1d554eb478cf044363fbd12071
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In Applied Mathematics
- Jan Cermak
- Luděk Nechvátal
- I. Győri
- Q. Al‐Mdallal
- Raghib M. Abu-Saris
- Dorota Mozyrska
- Malgorzata Wyrwas
In Modeling and Simulation
- I. Győri
- Jan Cermak
- Luděk Nechvátal
- Q. Al‐Mdallal
- Raghib M. Abu-Saris
- Dorota Mozyrska
- Malgorzata Wyrwas
- G. Em Karniadakis
In Public Health, Environmental and Occupational Health
- Jan Cermak
- Luděk Nechvátal
- I. Győri
- Q. Al‐Mdallal
- Raghib M. Abu-Saris
- Dorota Mozyrska
- Malgorzata Wyrwas
Citations in the corpus
- On explicit stability conditions for a linear fractional difference system (2015, background): “As it might be expected, stability analysis of fractional difference equations is becoming one of preferable topics of these investigations (see [2], [6] and [7]).”
- On the asymptotic stability of linear system of fractional-order difference equations (2013, methodology): “Main Results In a recent paper [11], Chen established several sufficient conditions for the attractivity/asymptotic stability of nonlinear difference systems of fractional order.”