Results 11 to 20 of about 600,406 (168)
A Gronwall inequality and the Cauchy-type problem by means of ψ-Hilfer operator [PDF]
Differential Equations & Applications, 2017 In this paper, we propose a generalized Gronwall inequality through the fractional integral with respect to another function. The Cauchy-type problem for a nonlinear differential equation involving the $\psi$-Hilfer fractional derivative and the ...
J. Sousa, E. C. Oliveira
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Large Deviations and Exit-times for reflected McKean-Vlasov equations with self-stabilizing terms and superlinear drifts [PDF]
, 2020 We study a class of reflected McKean-Vlasov diffusions over a convex domain with self-stabilizing coefficients. This includes coefficients that do not satisfy the classical Wasserstein Lipschitz condition.
Adams, Daniel +4 more
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, 2021 The main intention of the present research study is focused on the analysis of a Caputo fractional integro-differential boundary problem (CFBVP) in which the right-hand side of supposed differential equation is represented as a sum of two nonlinear terms.
S. Rezapour +4 more
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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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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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Well-posedness for mean-field evolutions arising in superconductivity [PDF]
, 2016 We establish the existence of a global solution for a new family of fluid-like equations, which are obtained in a joint work with Serfaty in certain regimes as the mean-field evolution of the supercurrent density in a (2D section of a) type-II ...
Duerinckx, Mitia
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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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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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