Forecast analysis of the epidemics trend of COVID-19 in the USA by a generalized fractional-order SEIR model
In this paper, a generalized fractional-order SEIR model is proposed, denoted by SEIQRP
model, which divided the population into susceptible, exposed, infectious, quarantined …
model, which divided the population into susceptible, exposed, infectious, quarantined …
Global stability analysis of fractional-order Hopfield neural networks with time delay
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 …
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
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 …
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
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 …
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 …
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 …
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
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 …
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 …
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
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 …
fixed point theorem, we establish a rigorous theorem on the existence and uniqueness of …
A qualitative theory of time delay nonlinear fractional-order systems
This paper analyses fractional-order systems with time-varying delays. First, we present
some results on the existence, uniqueness, exponential boundedness, and convergence …
some results on the existence, uniqueness, exponential boundedness, and convergence …