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 …
On Riemann‐Liouville and caputo derivatives
Recently, many models are formulated in terms of fractional derivatives, such as in control
processing, viscoelasticity, signal processing, and anomalous diffusion. In the present …
processing, viscoelasticity, signal processing, and anomalous diffusion. In the present …
[HTML][HTML] A fuzzy fractional power series approximation and taylor expansion for solving fuzzy fractional differential equation
Fuzzy fractional differential has the strength to capture the senses of memory and
uncertainty simultaneously involved in dynamical systems. However, a solution for fuzzy …
uncertainty simultaneously involved in dynamical systems. However, a solution for fuzzy …
Stability and logarithmic decay of the solution to Hadamard-type fractional differential equation
C Li, Z Li - Journal of Nonlinear Science, 2021 - Springer
In this paper, we study the stability and logarithmic decay of the solutions to fractional
differential equations (FDEs). Both linear and nonlinear cases are included. And the …
differential equations (FDEs). Both linear and nonlinear cases are included. And the …
Fractional dynamical system and its linearization theorem
Nowadays, it is known that the solution to a fractional differential equation can't generally
define a dynamical system in the sense of semigroup property due to the history memory …
define a dynamical system in the sense of semigroup property due to the history memory …
Electronically tunable ACO based fuzzy FOPID controller for effective speed control of electric vehicle
The phenomenal growth of the Electric Vehicle (EV) technology demands efficient and
intelligent control strategies for the propulsion system. In this work, a novel fuzzy fractional …
intelligent control strategies for the propulsion system. In this work, a novel fuzzy fractional …
Introduction to fractional integrability and differentiability
CP Li, ZG Zhao - The European Physical Journal Special Topics, 2011 - Springer
In this paper, we mainly consider fractional integral and derivatives including the Riemann-
Liouville derivative, Caputo derivative, Grünwald-Letnikov derivative, Marchaud derivative …
Liouville derivative, Caputo derivative, Grünwald-Letnikov derivative, Marchaud derivative …
A mathematical model of dengue transmission with memory
We propose and analyze a new compartmental model of dengue transmission with memory
between human-to-mosquito and mosquito-to-human. The memory is incorporated in the …
between human-to-mosquito and mosquito-to-human. The memory is incorporated in the …
Asymptotical stability of Riemann–Liouville fractional nonlinear systems
S Liu, X Wu, XF Zhou, W Jiang - Nonlinear Dynamics, 2016 - Springer
Stability analysis of fractional nonlinear differential systems with Riemann–Liouville
derivative remains an open problem. This paper is concerned with this open problem, and …
derivative remains an open problem. This paper is concerned with this open problem, and …
[HTML][HTML] Fractional order epidemic model for the dynamics of novel COVID-19
IA Baba, BA Nasidi - Alexandria Engineering Journal, 2021 - Elsevier
To curtail and control the pandemic coronavirus (Covid-19) epidemic, there is an urgent
need to understand the transmissibility of the infection. Mathematical model is an important …
need to understand the transmissibility of the infection. Mathematical model is an important …