Results 91 to 100 of about 588 (178)

A Refinement of Gronwall-Bellman Inequality

Pure Mathematics, 2016
本文用微分方程组理论和柯西矩阵级数展开作为工具，将Gronwall-Bellman不等式推广成向量形式。 The article modifies Gronwall-Bellman inequality into vector form by the theory of differential equation and Cauchy matrix series expansion.
openaire   +1 more source

Newton's method for stochastic functional differential equations

Electronic Journal of Differential Equations, 2012
In this article, we apply Newton's method to stochastic functional differential equations. The first part concerns a first-order convergence. We formulate a Gronwall-type inequality which plays an important role in the proof of the convergence theorem
Monika Wrzosek
doaj  

Further finite-time stability analysis of neural networks with proportional delay

Franklin Open
Different from fixed delays between neurons, proportional delay is a time-varying unbounded delay. In this paper, the issue of finite-time stability of fractional-order neural networks with proportional delay is investigated.
Binbin Gan, Mengqing Yang
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L1/LDG Method for Caputo-Hadamard Time Fractional Diffusion Equation. [PDF]

Commun Appl Math Comput, 2023
Wang Z.
europepmc   +1 more source

Nonlinear singular integral inequalities for functions in two and independent variables

Journal of Inequalities and Applications, 2000
In this paper nonlinear integral inequalities with weakly singular kernels for functions in two and independent variables are solved. The obtained results are related to the well known Gronwall–Bihari and Henry inequalities for functions in one ...
Medveď Milan
doaj  

Evolution psi-Hilfer fractional differential equations in Banach spaces

Electronic Journal of Differential Equations
This article concerns evolution equations involving $\psi$-Hilfer fractional derivative in a Banach space. By using the theory of fractional calculus and $\psi$-Laplace transform, we firstly derive a definition of mild solutions for these equations ...
Jin Liang, Yunyi Mu, Ti-Jun Xiao
doaj  

Dynamics of Fractional Delayed Reaction-Diffusion Equations. [PDF]

Entropy (Basel), 2023
Liu L, Nieto JJ.
europepmc   +1 more source

Stability Criteria for Nonlinear-Truncated V-Fractional-Order Derivative Systems with Applications to Synchronization. [PDF]

Entropy (Basel)
Yang W.
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Fractional-order analysis of a fear-induced ecoepidemiological predator-prey model with optimal control and bifurcation dynamics. [PDF]

Sci Rep
Alomari FAH, Bahaa GM.
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Effective Dynamics of Extended Fermi Gases in the High-Density Regime. [PDF]

Commun Math Phys, 2023
Fresta L, Porta M, Schlein B.
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