Results 51 to 60 of about 666,505 (227)

On qualitative analysis of an ecological dynamics with time delay

Asian Journal of Control, EarlyView.
Abstract In this paper, we study a fractional‐order predator–prey system with time delay, where the dynamics are logistic with prey population commensurate to the carrying capacity. Mainly, by linearizing the system around the equilibrium point, we first analyze the stability and then prove the existence of Hopf bifurcation.
Canan Celik, Kubra Degerli
wiley   +1 more source

Fractional derivative generalization of Noether’s theorem

Open Mathematics, 2015
The symmetry of the Bagley–Torvik equation is investigated by using the Lie group analysis method. The Bagley–Torvik equation in the sense of the Riemann–Liouville derivatives is considered.
Khorshidi Maryam, Nadjafikhah Mehdi, Jafari Hossein   +2 more
doaj   +1 more source

Compressibility Function and Speed of Sound in the Non‐Commutative Quantum Hadrodynamics Type‐I Model for Neutron Stars

Astronomische Nachrichten, EarlyView.
ABSTRACT We investigate the effects of a minimal measurable length on neutron stars, within the quantum hadrodynamics (QHD‐I) model modified by the Generalized Uncertainty Principle (GUP). Working in a deformed Poisson algebra framework, we incorporate GUP effects via a time‐invariant transformation of the phase space volume, effectively reducing the ...
João Gabriel Galli Gimenez, Dimiter Hadjimichef, César A. Zen Vasconcellos   +2 more
wiley   +1 more source

A Liouville Theorem for the Planer Navier-Stokes Equations with the No-Slip Boundary Condition and Its Application to a Geometric Regularity Criterion [PDF]

, 2013
We establish a Liouville type result for a backward global solution to the Navier-Stokes equations in the half plane with the no-slip boundary condition. No assumptions on spatial decay for the vorticity nor the velocity field are imposed.
Y. Giga, Pen-Yuan Hsu, Yasunori Maekawa
semanticscholar   +1 more source

A highly accurate numerical method for solving boundary value problem of generalized Bagley‐Torvik equation

Mathematical Methods in the Applied Sciences, EarlyView.
A highly accurate numerical method is given for the solution of boundary value problem of generalized Bagley‐Torvik (BgT) equation with Caputo derivative of order 0<β<2$$ 0<\beta <2 $$ by using the collocation‐shooting method (C‐SM). The collocation solution is constructed in the space Sm+1(1)$$ {S}_{m+1}^{(1)} $$ as piecewise polynomials of degree at ...
Suzan Cival Buranay, Mtema James Chin, Nazim I. Mahmudov   +2 more
wiley   +1 more source

A Liouville theorem for radial k-Hessian equations [PDF]

Rendiconti di Matematica e delle Sue Applicazioni, 1997
We prove a strong maximum principle for the radial solutions of the k-Hessian equation in IR^n from which a Liouville theorem is derived.
Yuri Bozhkov
doaj  

Exponential Stability of Higher Order Fractional Neutral Stochastic Differential Equation Via Integral Contractors

Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6425-6446, April 2025.
ABSTRACT The well‐posedness results for mild solutions to the fractional neutral stochastic differential system with Rosenblatt process with Hurst index Ĥ∈12,1$$ \hat{H}\in \left(\frac{1}{2},1\right) $$ is discussed in this article. To demonstrate the results, the concept of bounded integral contractors is combined with the stochastic result and ...
Dimplekumar N. Chalishajar, Dhanalakshmi Kasinathan, Ramkumar Kasinathan, Ravikumar Kasinathan   +3 more
wiley   +1 more source

Dynamic analysis of fractional-order neural networks with inertia

AIMS Mathematics, 2022
The existence and the S-asymptotic ω-periodic of the solution in fractional-order Cohen-Grossberg neural networks with inertia are studied in this paper. Based on the properties of the Riemann-Liouville (R-L) fractional-order derivative and integral, the
Zhiying Li , Wangdong Jiang , Yuehong Zhang   +2 more
doaj   +1 more source

The nonabelian Liouville-Arnold integrability by quadratures problem: a symplectic approach

, 1999
A symplectic theory approach is devised for solving the problem of algebraic-analytical construction of integral submanifold imbeddings for integrable (via the nonabelian Liouville-Arnold theorem) Hamiltonian systems on canonically symplectic phase ...
Abraham R., Ankiewicz A., Basarab-Horwath P., Blackmore D., Cartan E., Duistermaat J.J., Kobayashi S., Kopych M., Kozlov V.V., Kummer M., Marsden J., Mishchenko A.S., Newlander A., Niekhoroshev N.N., Prykarpatsky A., Prykarpatsky Ya.A., Rauch-Wojciechowski S., Ravoson V., Roekaerts D., Salerno M., Satzer W.J., Souriau J.-M., Wells R.O., Zakrzewski S., Zverovich E.   +24 more
core   +4 more sources

Equivalences of Nonlinear Higher Order Fractional Differential Equations With Integral Equations

Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6930-6942, April 2025.
ABSTRACT Equivalences of initial value problems (IVPs) of both nonlinear higher order (Riemann–Liouville type) fractional differential equations (FDEs) and Caputo FDEs with the corresponding integral equations are studied in this paper. It is proved that the nonlinearities in the FDEs can be L1$$ {L}^1 $$‐Carathéodory with suitable conditions.
Kunquan Lan
wiley   +1 more source