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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 …
[KNYGA][B] Functional fractional calculus
S Das - 2011 - Springer
When a new extraordinary and outstanding theory is stated, it has to face criticism and
skeptism, because it is beyond the usual concept. The fractional calculus though not new …
skeptism, because it is beyond the usual concept. The fractional calculus though not new …
Exploring delayed Mittag-Leffler type matrix functions to study finite time stability of fractional delay differential equations
M Li, JR Wang - Applied Mathematics and Computation, 2018 - Elsevier
In this paper, we introduce a concept of delayed two parameters Mittag-Leffler type matrix
function, which is an extension of the classical Mittag-Leffler matrix function. With the help of …
function, which is an extension of the classical Mittag-Leffler matrix function. With the help of …
[HTML][HTML] Existence results for a coupled system of nonlinear fractional differential equations with three-point boundary conditions
This paper studies a coupled system of nonlinear fractional differential equations with three-
point boundary conditions. Applying the Schauder fixed point theorem, an existence result is …
point boundary conditions. Applying the Schauder fixed point theorem, an existence result is …
[HTML][HTML] LMI stability conditions for fractional order systems
After an overview of the results dedicated to stability analysis of systems described by
differential equations involving fractional derivatives, also denoted fractional order systems …
differential equations involving fractional derivatives, also denoted fractional order systems …
[HTML][HTML] Finite-time stability analysis of fractional order time-delay systems: Gronwall's approach
MP Lazarević, AM Spasić - Mathematical and Computer Modelling, 2009 - Elsevier
In this paper, a stability test procedure is proposed for linear nonhomogeneous fractional
order systems with a pure time delay. Some basic results from the area of finite time and …
order systems with a pure time delay. Some basic results from the area of finite time and …
[HTML][HTML] A fractional-order differential equation model of HIV infection of CD4+ T-cells
Y Ding, H Ye - Mathematical and Computer Modelling, 2009 - Elsevier
In this paper, we introduce fractional-order into a model of HIV infection of CD4+ T-cells. We
show that the model established in this paper possesses non-negative solutions, as desired …
show that the model established in this paper possesses non-negative solutions, as desired …
[PDF][PDF] Existence results for nonlinear boundary value problems of fractional integrodifferential equations with integral boundary conditions
This paper deals with some existence results for a boundary value problem involving a
nonlinear integrodifferential equation of fractional order with integral boundary conditions …
nonlinear integrodifferential equation of fractional order with integral boundary conditions …
Finite-time stability of delayed memristor-based fractional-order neural networks
C Chen, S Zhu, Y Wei - IEEE transactions on cybernetics, 2018 - ieeexplore.ieee.org
This paper studies one type of delayed memristor-based fractional-order neural networks
(MFNNs) on the finite-time stability problem. By using the method of iteration, contracting …
(MFNNs) on the finite-time stability problem. By using the method of iteration, contracting …
[HTML][HTML] Lyapunov stability analysis of fractional nonlinear systems
S Liu, W Jiang, X Li, XF Zhou - Applied Mathematics Letters, 2016 - Elsevier
Lyapunov direct method provides a very effective approach to analyze stability of nonlinear
systems, however, the well-known Leibniz rule is not suitable for fractional derivatives. This …
systems, however, the well-known Leibniz rule is not suitable for fractional derivatives. This …