Results 131 to 140 of about 610,482 (163)

An Extension of the Fractional Gronwall Inequality

International Conference on Non-integer Order Calculus and Its Applications, 2019
published
Ricardo Almeida, Agnieszka B. Malinowska, Tatiana Odzijewicz   +2 more
openaire   +3 more sources

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

Stochastic version of Henry type Gronwall’s inequality

Infinite Dimensional Analysis, Quantum Probability and Related Topics, 2021
We use Young’s and Hölder inequality combined with classical Gronwall’s inequality to derive present a new version of the stochastic of Gronwall’s inequalities with singular kernels.
Mekki, Slimane, Nieto, Juan J., Ouahab, Abdelghani   +2 more
openaire   +1 more source

Weakly Singular Discrete Gronwall Inequalities

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1986
AbstractGeneralizations of the classical Gronwall inequality when the kernel of the associated integral equation is weakly singular are presented. The continuous and discrete versions are both given; the former is included since it suggests the latter by analogy.
Dixon, J., McKee, S.
openaire   +2 more sources

A Generalized Gronwall-Bellman Inequality

Siberian Mathematical Journal, 2020
In this paper, some Gronwall-Bellman-type integral inequalities in which the argument of the exponent depends linearly on \(N\). Specifically, the following result is established: Let \(u(x)\), \(A(x)\) be nonnegatine continuous functions on \([0,x_0]\) satisfies \[ u(x) \le A + N\int^{x}_{0}P_m(N(x-\zeta))u(\zeta)d\zeta,\; x\in [0,x_0],\, x_0>0 ...
openaire   +2 more sources

Generalizations of Gronwall-Bellman-Reid inequalities

Applied Mathematics and Computation, 1991
In the paper, the authors consider some one-variable linear and nonlinear integral inequalities of the Gronwall-type. Some linear inequalities involving iterated integral functionals are discussed in the first three theorems, which are all special cases of an inequality considered by this reviewer [J. Math. Anal. Appl.
Zaghrout, A. A. S., El-Dawaliby, N.
openaire   +2 more sources

Gronwall Type Inequalities

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1995
AbstractIn Abschnitt I werden verschiedene Formen derjenigen Integralungleichung betrachtet, die von vielen Autoren als Gronwall‐Ungleichung beschrieben wird, und es wird versucht, eine allgemeine Definition zu geben. In Abschnitt II wird eine algebraische Version gegeben, von der gezeigt wird, daß sich daraus viele der bekannten Gronwall‐Ungleichungen
openaire   +2 more sources

The Gronwall inequality for weighted integrals

Proceedings of the American Mathematical Society, 1971
The objective of this paper is to establish a Gronwall inequality for the weighted refinement integral [ F , ( w 1 , w 2 , w 3 ) ]
Wright, F. M., Klasi, M. L., Kennebeck, D. R.   +2 more
openaire   +2 more sources

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