Results 31 to 40 of about 606,903 (214)
A discrete fractional Gronwall inequality [PDF]
Proceedings of the American Mathematical Society, 2012 Gronwall type inequalities within the discrete fractional settings are derived and discussed.
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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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REFINEMENTS OF SOME RETARDED INTEGRAL INEQUALITIES OF GRONWALL-BELLMAN-BIHARI TYPE AND THEIR APPLICATIONS [PDF]
Surveys in Mathematics and its Applications, 2020 In this study, some generalizations and refinements of some retarded integral inequalities of Gronwall-Bellman-Bihari type are established. To show the feasibility of the obtained inequalities, some illustrative examples are also introduced.
Khaled Boukerrioua +2 more
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Incompressible flow in porous media with fractional diffusion [PDF]
, 2008 In this paper we study the heat transfer with a general fractional diffusion term of an incompressible fluid in a porous medium governed by Darcy's law. We show formation of singularities with infinite energy and for finite energy we obtain existence and
Bear J +13 more
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Gronwall's Inequality in n Independent Variables [PDF]
Proceedings of the American Mathematical Society, 1973 The paper presents an extension of Gronwall's inequality to n independent variables. The inequality is established by solving a characteristic initial value problem by the Riemann method. Thus a Riemann function associated with a hyperbolic partial differential equation appears in the inequality.
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New Integral Inequalities for Iterated Integrals with Applications
Journal of Inequalities and Applications, 2008 Some new nonlinear retarded integral inequalities of Gronwall type are established. These inequalities can be used as basic tools in the study of certain classes of integrodifferential equations.
Young-Ho Kim +2 more
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, 2020 This paper is devoted to the mathematical analysis of some Diffuse Interface systems which model the motion of a two-phase incompressible fluid mixture in presence of capillarity effects in a bounded smooth domain.
Giorgini, Andrea +2 more
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Well-posedness and long-time behavior for a nonstandard viscous Cahn-Hilliard system [PDF]
, 2011 We study a diffusion model of phase field type, consisting of a system of two partial differential equations encoding the balances of microforces and microenergy; the two unknowns are the order parameter and the chemical potential.
Colli, Pierluigi +3 more
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Gronwall’s inequality on discrete fractional calculus
Computers & Mathematics with Applications, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Atici, Ferhan M., Eloe, Paul W.
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Rothe method and numerical analysis for history-dependent hemivariational inequalities with applications to contact mechanics [PDF]
, 2019 In this paper an abstract evolutionary hemivariational inequality with a history-dependent operator is studied. First, a result on its unique solvability and solution regularity is proved by applying the Rothe method.
Migorski, Stanislaw, Zeng, Shengda
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