Forecast analysis of the epidemics trend of COVID-19 in the USA by a generalized fractional-order SEIR model

C Xu, Y Yu, YQ Chen, Z Lu - Nonlinear dynamics, 2020 - Springer
In this paper, a generalized fractional-order SEIR model is proposed, denoted by SEIQRP
model, which divided the population into susceptible, exposed, infectious, quarantined …

Global stability analysis of fractional-order Hopfield neural networks with time delay

H Wang, Y Yu, G Wen, S Zhang, J Yu - Neurocomputing, 2015 - Elsevier
In this paper, the global stability analysis of fractional-order Hopfield neural networks with
time delay is investigated. A stability theorem for linear fractional-order systems with time …

Stability analysis of fractional-order Hopfield neural networks with time delays

H Wang, Y Yu, G Wen - Neural Networks, 2014 - Elsevier
This paper investigates the stability for fractional-order Hopfield neural networks with time
delays. Firstly, the fractional-order Hopfield neural networks with hub structure and time …

Spectral Galerkin schemes for a class of multi-order fractional pantograph equations

MM Alsuyuti, EH Doha, SS Ezz-Eldien… - Journal of Computational …, 2021 - Elsevier
In this paper, we study and present a spectral numerical technique for solving a general
class of multi-order fractional pantograph equations with varying coefficients and systems of …

Numerical solution of time fractional Burgers equation by cubic B-spline finite elements

A Esen, O Tasbozan - Mediterranean Journal of Mathematics, 2016 - Springer
We present some numerical examples which support numerical results for the time fractional
Burgers equation with various boundary and initial conditions obtained by collocation …

Boundary-value problem for nonlinear fractional differential equations of variable order with finite delay via Kuratowski measure of noncompactness

B Telli, MS Souid, I Stamova - Axioms, 2023 - mdpi.com
This paper is devoted to boundary-value problems for Riemann–Liouville-type fractional
differential equations of variable order involving finite delays. The existence of solutions is …

[PDF][PDF] The solutions of time and space conformable fractional heat equations with conformable Fourier transform

Y Cenesiz, A Kurt - Acta Universitatis Sapientiae, Mathematica, 2015 - sciendo.com
In this paper our aim is to find the solutions of time and space fractional heat differential
equations by using new definition of fractional derivative called conformable fractional …

Existence and stability of solution for a nonlinear fractional differential equation

J Zhou, S Zhang, Y He - Journal of Mathematical Analysis and Applications, 2021 - Elsevier
In this paper, we study a nonlinear ψ− Hilfer fractional integro-differential equation on finite
interval [a, b]. Sufficient conditions for the existence of solution and stability for the initial …

Existence, uniqueness, and exponential boundedness of global solutions to delay fractional differential equations

ND Cong, HT Tuan - Mediterranean Journal of Mathematics, 2017 - Springer
In this paper, using properties of Mittag–Leffler functions, a weighted norm, and the Banach
fixed point theorem, we establish a rigorous theorem on the existence and uniqueness of …

A qualitative theory of time delay nonlinear fractional-order systems

HT Tuan, H Trinh - SIAM Journal on Control and Optimization, 2020 - SIAM
This paper analyses fractional-order systems with time-varying delays. First, we present
some results on the existence, uniqueness, exponential boundedness, and convergence …