Results 51 to 60 of about 588 (178)

Fractal–fractional model for analysis of tuberculosis infection using Ethiopia incidence data

Quantitative Biology, Volume 14, Issue 3, September 2026.
Abstract In this study, a fractional‐order SEIuITR $SE{I}_{u}ITR$ model was proposed to examine the transmission of tuberculosis (TB) in the community. The proposed model was rigorously examined for well‐posedness. The basic reproduction number was also derived, and the disease‐free equilibrium was obtained.
Kumama Regassa Cheneke, Fatmawati Fatmawati, Mustafa Bayram   +2 more
wiley   +1 more source

Stability of Caputa– Hadmmard  Fractional Differential Nonlinear ControlSystem with Delay Riemann −Katugampola

Wasit Journal for Pure Sciences
This research examines the finite-time stability of a specific category of neural networks with fractional order. Using modified Gronwall inequality and estimations of Mittag–Leffler functions, we provide adequate requirements to guarantee the finite ...
ahmed sami, Sameer Qasim Hasan
doaj   +1 more source

On an Abstract Analog of the Bellmann-Gronwall Inequality

Publications of the Research Institute for Mathematical Sciences, 1984
The paper considers one of the possible generalizations of the Volterra equations in the case when the independent variable belongs to an arbitrary compact metric space and, as a corollary of the obtained results, an abstract analog of the Bellman-Gronwall inequality is proved.
Bainov, D. D., Myshkis, A. D., Zahariev, A. I.   +2 more
openaire   +2 more sources

The Huang–Yang Formula for the Low‐Density Fermi Gas: Upper Bound

Communications on Pure and Applied Mathematics, Volume 79, Issue 8, Page 1919-1972, August 2026.
ABSTRACT We study the ground state energy of a gas of spin 1/2$1/2$ fermions with repulsive short‐range interactions. We derive an upper bound that agrees, at low density ϱ$\varrho$, with the Huang–Yang conjecture. The latter captures the first three terms in an asymptotic low‐density expansion, and in particular the Huang–Yang correction term of order
Emanuela L. Giacomelli, Christian Hainzl, Phan Thành Nam, Robert Seiringer   +3 more
wiley   +1 more source

Finite-Time Stability of Neutral Fractional Time-Delay Systems via Generalized Gronwalls Inequality

Abstract and Applied Analysis, 2014
This paper studies the finite-time stability of neutral fractional time-delay systems. With the generalized Gronwall inequality, sufficient conditions of the finite-time stability are obtained for the particular class of neutral fractional time-delay ...
Pang Denghao, Jiang Wei
doaj   +1 more source

KdV limit for the Vlasov–Poisson–Landau system

Journal of the London Mathematical Society, Volume 114, Issue 2, August 2026.
Abstract We are concerned with the fluid limit to KdV equations for the one‐dimensional Vlasov–Poisson–Landau system that describes the dynamics of ions in plasma with the electron density determined by the self‐consistent electric potential through the so‐called Boltzmann relation. Formally, it is well known that as the Knudsen number ε→0$\varepsilon \
Renjun Duan, Dongcheng Yang, Hongjun Yu
wiley   +1 more source

Random Chemostats with Competition and Different Kinetics to Investigate the Growth of the Gut Microbiome

Mathematical Methods in the Applied Sciences, Volume 49, Issue 11, Page 12102-12115, 30 July 2026.
ABSTRACT We investigate some chemostat models incorporating wall growth, competition, random fluctuations on the dilution rate, and different consumption functions (Monod and Haldane). We analyze the asymptotic behavior of the solutions of the corresponding random differential systems to establish conditions on the model parameters under which the ...
Javier López‐de‐la‐Cruz, Felipe Rivero, Carlos R. Takaessu Jr.   +2 more
wiley   +1 more source

Short proof of a discrete gronwall inequality

Discrete Applied Mathematics, 1987
In the classical discrete Gronwall inequality \(\{x_ n\leq a_ n+\sum^{n-1}_{j=n_ 0}b_ jx_ j,\quad n=n_ 0,...,N\quad implies\quad x_ n\leq a^*\prod^{n-1}_{j=n_ 0}(1+b_ j)\}\) the description of the multiplier \(a^*\) is improved and the use of such inequality in stability considerations for difference equations is illustrated.
openaire   +1 more source

Nonlinear Gronwall–Bellman Type Inequalities and Their Applications [PDF]

Mathematics, 2017
In this paper, some nonlinear Gronwall–Bellman type inequalities are established. Then, the obtained results are applied to study the Hyers–Ulam stability of a fractional differential equation and the boundedness of solutions to an integral equation, respectively.
Weimin Wang, Yuqiang Feng, Yuanyuan Wang
openaire   +3 more sources

Stability of a Fully Discrete Local Discontinuous Galerkin Method for the Generalized Benjamin–Ono Equation

Numerical Methods for Partial Differential Equations, Volume 42, Issue 4, July 2026.
ABSTRACT The main purpose of this paper is to design a fully discrete local discontinuous Galerkin (LDG) scheme for the generalized Benjamin–Ono equation. First, we prove the L2$$ {L}^2 $$‐stability for the proposed semi‐discrete LDG scheme and obtained a suboptimal order of convergence for power nonlinear flux.
Mukul Dwivedi, Tanmay Sarkar
wiley   +1 more source