Results 21 to 30 of about 610,482 (163)
Finite-time stability of multiterm fractional nonlinear systems with multistate time delay
Advances in Difference Equations, 2021 This work is mainly concentrated on finite-time stability of multiterm fractional system for 0 < α 2 ≤ 1 < α 1 ≤ 2 $0 < \alpha _{2} \leq 1 < \alpha _{1} \leq 2$ with multistate time delay.
G. Arthi, N. Brindha, Yong-Ki Ma
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On the generalized Gronwall inequalities involving ψ-fractional integral operator with applications
AIMS Mathematics, 2022 In this paper, a Gronwall inequality involving ψ-fractional integral operator is obtained as a generalization of [23]. An example is listed to show the applications.
Qi Wang , Shumin Zhu
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KETAKSAMAAN INTEGRAL GRONWALL-BELLMAN UNTUK FUNGSI BERPANGKAT
Barekeng, 2011 Integral inequality of Gronwall-Bellman is known as an integral inequality which consists of differential and integral forms. Integral inequality of Gronwall-Bellman involving several functions that some definite condition hold and integral values of ...
Monalisa E. Rijoly +2 more
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Minimal Conditions for Implications of Gronwall-Bellman Type [PDF]
, 2016 Gronwall-Bellman type inequalities entail the following implication: if a sufficiently integrable function satisfies a certain homogeneous linear integral inequality, then it is nonpositive.
Herdegen, Martin, Herrmann, Sebastian
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A stochastic Gronwall inequality and applications to moments, strong completeness, strong local Lipschitz continuity, and perturbations [PDF]
Annales De L Institut Henri Poincare-probabilites Et Statistiques, 2019 There are numerous applications of the classical (deterministic) Gronwall inequality. Recently, Michael Scheutzow has discovered a stochastic Gronwall inequality which provides upper bounds for the $p$-th moments, $p\in(0,1)$, of the supremum of ...
Anselm Hudde +2 more
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A Stochastic Gronwall Lemma [PDF]
, 2013 We prove a stochastic Gronwall lemma of the following type: if $Z$ is an adapted nonnegative continuous process which satisfies a linear integral inequality with an added continuous local martingale $M$ and a process $H$ on the right hand side, then for ...
Scheutzow, Michael
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Mathematics, 2020 In the present work, we investigate the efficiency of a numerical scheme to solve a nonlinear time-fractional heat equation with sufficiently smooth solutions, which was previously reported in the literature [Fract. Calc. Appl. Anal. 16: 892–910 (2013)].
A. Hendy, J. Macías-Díaz
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Best possible gronwall inequalities
Mathematical and Computer Modelling, 1997 The authors have obtained upper estimates on the inequalities of the form \[ u_{n+ 1}\leq T_n\{u\},\quad n= 1,2,\dots, \] by using the monotonicity of the operators involved. The mathematical induction is used to establish the results in the paper.
Magnucka-Blandzi, E. +2 more
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Mathematical methods in the applied sciences, 2020 In this paper, a generalized fractional (q, h)–Gronwall inequality is investigated. Based on this inequality, the uniqueness theorem and the finite–time stability criterion of nonlinear fractional delay (q, h)–difference systems are derived.
Feifei Du, Baoguo Jia
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A more generalized Gronwall-like integral inequality with applications
International Journal of Mathematics and Mathematical Sciences, 2003 This paper deals with a new Gronwall-like integral inequality which is a generalization of integral inequalities proved by Engler (1989) and Pachpatte (1992).
Qinghua Ma, Lokenath Debnath
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