A survey on the stability of fractional differential equations: Dedicated to Prof. YS Chen on the Occasion of his 80th Birthday
CP Li, FR Zhang - The European Physical Journal Special Topics, 2011 - Springer
Recently, fractional calculus has attracted much attention since it plays an important role in
many fields of science and engineering. Especially, the study on stability of fractional …
many fields of science and engineering. Especially, the study on stability of fractional …
Finite difference methods for fractional differential equations
In this review paper, the finite difference methods (FDMs) for the fractional differential
equations are displayed. The considered equations mainly include the fractional kinetic …
equations are displayed. The considered equations mainly include the fractional kinetic …
Stability analysis of linear fractional differential system with multiple time delays
In this paper, we study the stability of n-dimensional linear fractional differential equation
with time delays, where the delay matrix is defined in (R+) n× n. By using the Laplace …
with time delays, where the delay matrix is defined in (R+) n× n. By using the Laplace …
Remarks on fractional derivatives
In this paper, we further discuss the properties of three kinds of fractional derivatives: the
Grünwald–Letnikov derivative, the Riemann–Liouville derivative and the Caputo derivative …
Grünwald–Letnikov derivative, the Riemann–Liouville derivative and the Caputo derivative …
R3—Rescale, Rotate, and Randomize: A Novel Image Cryptosystem Utilizing Chaotic and Hyper-Chaotic Systems
This work proposes a novel image encryption algorithm that integrates unique image
transformation techniques with the principles of chaotic and hyper-chaotic systems. By …
transformation techniques with the principles of chaotic and hyper-chaotic systems. By …
Image Encryption via Base-n PRNGs and Parallel Base-n S-Boxes
The fast-paced advancement in multimedia production and exchanges over unsecured
networks have led to a dire need to develop security applications. In this regard, chaos …
networks have led to a dire need to develop security applications. In this regard, chaos …
[BOOK][B] Non-instantaneous impulses in differential equations
R Agarwal, S Hristova, D O'Regan, R Agarwal… - 2017 - Springer
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Chaos synchronization of fractional chaotic maps based on the stability condition
In the fractional calculus, one of the main challenges is to find suitable models which are
properly described by discrete derivatives with memory. Fractional Logistic map and …
properly described by discrete derivatives with memory. Fractional Logistic map and …
Global Mittag-Leffler stability and synchronization of impulsive fractional-order neural networks with time-varying delays
I Stamova - Nonlinear Dynamics, 2014 - Springer
In this paper we consider a class of impulsive Caputo fractional-order cellular neural
networks with time-varying delays. Applying the fractional Lyapunov method and Mittag …
networks with time-varying delays. Applying the fractional Lyapunov method and Mittag …
[HTML][HTML] Short memory principle and a predictor–corrector approach for fractional differential equations
W Deng - Journal of Computational and Applied Mathematics, 2007 - Elsevier
Fractional differential equations are increasingly used to model problems in acoustics and
thermal systems, rheology and modelling of materials and mechanical systems, signal …
thermal systems, rheology and modelling of materials and mechanical systems, signal …