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Finite-time stability of fractional-order delayed Cohen–Grossberg memristive neural networks: a novel fractional-order delayed Gronwall inequality approach

International Journal of General Systems, 2021
This article is dedicated to the improved approach for the finite-time stability (FTS) of fractional-order delayed Cohen–Grossberg memristive neural networks (FDCGMNNs). First, a novel delayed integer-order Gronwall inequality is established.
Feifei Du, Jun‐Guo Lu
semanticscholar   +1 more source

On a discrete fractional stochastic Grönwall inequality and its application in the numerical analysis of stochastic FDEs involving a martingale

International journal of nonlinear sciences and numerical simulation, 2021
The aim of this paper is to derive a novel discrete form of stochastic fractional Grönwall lemma involving a martingale. The proof of the derived inequality is accomplished by a corresponding no randomness form of the discrete fractional Grönwall ...
A. Hendy, M. A. Zaky, E. H. Doha
semanticscholar   +1 more source

A New Generalized Gronwall Inequality with a Double Singularity and Its Applications to Fractional Stochastic Differential Equations

Stochastic Analysis and Applications, 2019
In many cases, the existence and uniqueness of the solution of a differential equation are proved using fixed point theory. In this paper, we utilize the theory of operators and ingenious techniques to investigate the well-posedness of mild solution to ...
Xiao-Li Ding, C. Daniel, J. Nieto
semanticscholar   +1 more source

Gronwall’s inequality and stability analysis of nonlinear fractional difference equations

Journal of Nonlinear, Complex and Data Science
This paper investigates the existence and uniqueness of solutions for nonlinear fractional difference equations of the Hilfer type using Brouwer’s and Banach’s fixed-point theorems.
Anshul Sharma   +2 more
semanticscholar   +1 more source

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