scholarly journals A uniqueness criterion for nontrivial solutions of the nonlinear higher-order ∇-difference systems of fractional-order

2021 ◽  
pp. 85-110
Author(s):  
Yousef Gholami
Keyword(s):  
Fractional Order ◽  
Higher Order ◽  
Nontrivial Solutions ◽  
Order Difference ◽  
Uniqueness Criterion ◽  
Difference Systems

Erratum a correction on the stability of implicit higher order difference systems

1995 ◽  
Vol 71 (1) ◽  
pp. 91-96
Author(s):  
L. Jódar ◽  
E. Navarro ◽  
M.V. Ferrer
Keyword(s):  
Higher Order ◽  
Order Difference ◽  
Difference Systems ◽  
The Stability

Chaos in fractional-order difference systems

2022 ◽  
pp. 257-286
Author(s):  
Amina-Aicha Khennaoui ◽  
Adel Ouannas ◽  
Iqbal M. Batiha ◽  
Viet-Thanh Pham
Keyword(s):  
Fractional Order ◽  
Order Difference ◽  
Difference Systems

scholarly journals On the Stability of Linear Incommensurate Fractional-Order Difference Systems

Mathematics ◽  
2020 ◽  
Vol 8 (10) ◽  
pp. 1754
Author(s):  
Noureddine Djenina ◽  
Adel Ouannas ◽  
Iqbal M. Batiha ◽  
Giuseppe Grassi ◽  
Viet-Thanh Pham
Keyword(s):  
Fractional Order ◽  
Difference Equations ◽  
Equivalent System ◽  
Stability Of Solutions ◽  
Extended Version ◽  
Transform Method ◽  
Order Difference ◽  
Difference Systems ◽  
The Stability

To follow up on the progress made on exploring the stability investigation of linear commensurate Fractional-order Difference Systems (FoDSs), such topic of its extended version that appears with incommensurate orders is discussed and examined in this work. Some simple applicable conditions for judging the stability of these systems are reported as novel results. These results are formulated by converting the linear incommensurate FoDS into another equivalent system consists of fractional-order difference equations of Volterra convolution-type as well as by using some properties of the Z-transform method. All results of this work are verified numerically by illustrating some examples that deal with the stability of solutions of such systems.

Stability radii of positive higher order difference systems under fractional perturbations

Positivity ◽  
2009 ◽  
Vol 14 (2) ◽  
pp. 285-300
Author(s):  
Bui The Anh ◽  
Vo Hanh Nguyen
Keyword(s):  
Higher Order ◽  
Order Difference ◽  
Difference Systems ◽  
Stability Radii

A correction on the stability of implicit higher order difference systems

1996 ◽  
Vol 74 (2-3) ◽  
pp. 299-304
Author(s):  
L. Jódar ◽  
E. Navarro ◽  
M.V. Ferrer
Keyword(s):  
Higher Order ◽  
Order Difference ◽  
Difference Systems ◽  
The Stability

scholarly journals Novel convenient conditions for the stability of nonlinear incommensurate fractional-order difference systems

2021 ◽  
Author(s):  
Mohd Taib Shatnawi ◽  
Noureddine Djenina ◽  
Adel Ouannas ◽  
Iqbal M. Batiha ◽  
Giuseppe Grassi
Keyword(s):  
Fractional Order ◽  
Order Difference ◽  
Difference Systems ◽  
The Stability
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