Results 41 to 50 of about 37,785 (206)
, 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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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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Journal of Inequalities and Applications, 2016 In this paper, we state and prove a new discrete q-fractional version of the Gronwall inequality. Based on this result, a particular version expressed by means of the q-Mittag-Leffler function is provided.
T. Abdeljawad, J. Alzabut, D. Baleanu
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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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, 2008 This paper deals with a class of integrodifferential impulsive periodic systems on Banach space. Using impulsive periodic evolution operator given by us, the -periodic PC-mild solution is introduced and suitable Poincaré operator is constructed.
Jin Rong Wang +3 more
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Journal of Taibah University for Science, 2019 In this note, we consider a nonlinear pantograph equation with Hilfer–Hadamard fractional derivative. We investigate the existence and continuous dependence results by using successive approximations and generalized Gronwall inequality.
D. Vivek, Kamal Shah, K. Kanagarajan
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A vanishing diffusion limit in a nonstandard system of phase field equations [PDF]
, 2012 We are concerned with a nonstandard phase field model of Cahn-Hilliard type. The model, which was introduced by Podio-Guidugli (Ric. Mat. 2006), describes two-species phase segregation and consists of a system of two highly nonlinearly coupled PDEs.
Colli, Pierluigi +3 more
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New Results for Generalized Gronwall Inequalities and Their Applications [PDF]
Abstract and Applied Analysis, 2014 In succession to our earlier work, we further provide some new generalized Gronwall inequalities and apply these inequalities to the study of qualitative estimations of solutions to certain fractional differential equations.
openaire +4 more sources
Stochastic Delay Population Dynamics under Regime Switching: Global Solutions and Extinction
Abstract and Applied Analysis, 2013 This paper is concerned with a delay Lotka-Volterra model under regime switching diffusion in random environment. By using generalized Itô formula, Gronwall inequality and Young’s inequality, some sufficient conditions for existence of global positive ...
Zheng Wu, Hao Huang, Lianglong Wang
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Existence and uniqueness results for fractional differential equations with boundary value conditions [PDF]
Opuscula Mathematica, 2011 In this paper, we study the existence and uniqueness of fractional differential equations with boundary value conditions. A new generalized singular type Gronwall inequality is given to obtain important a priori bounds.
LinLi Lv, JinRong Wang, Wei Wei
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