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On Nonlinear Neutral Fractional Integrodifferential Inclusions with Infinite Delay [PDF]
Journal of Applied Mathematics, 2012 Of concern is a class of nonlinear neutral fractional integrodifferential inclusions with infinite delay in Banach spaces. A theorem about the existence of mild solutions to the fractional integrodifferential inclusions is obtained based on Martelli’s ...
Fang Li, Ti-Jun Xiao, Hong-Kun Xu
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Fractal and Fractional, 2022 The main concern of this manuscript is to study the optimal control problem for Hilfer fractional neutral stochastic integrodifferential systems with infinite delay.
Murugesan Johnson, Velusamy Vijayakumar
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Fractal and Fractional, 2023 In this paper, we investigate the optimal control problems for a class of neutral stochastic integrodifferential equations (NSIDEs) with infinite delay driven by Poisson jumps and the Rosenblat process in Hilbert space involving concrete-fading memory ...
Dimplekumar Chalishajar +2 more
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Fractional partial random differential equations with infinite delay
Results in Physics, 2022 The present paper deals with some existence results for the Darboux problem of partial fractional random differential equations with infinite delay. The arguments are based on a random fixed point theorem with stochastic domain combined with the measure ...
Amel Heris +3 more
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Asymptotic Stability of Differential Equations with Infinite Delay [PDF]
Journal of Applied Mathematics, 2012 A theorem on asymptotic stability is obtained for a differential equation with an infinite delay in a function space which is suitable for the numerical computation of the solution to the infinite delay equation.
D. Piriadarshani, T. Sengadir
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A maximum principle for infinite horizon delay equations [PDF]
SIAM Journal on Mathematical Analysis, 2012 We prove a maximum principle of optimal control of stochastic delay equations on infinite horizon. We establish first and second sufficient stochastic maximum principles as well as necessary conditions for that problem.
Agram, N. +3 more
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On linear Volterra difference equations with infinite delay [PDF]
Advances in Difference Equations, 2006 Linear neutral, and especially non-neutral, Volterra difference equations with infinite delay are considered and some new results on the behavior of solutions are established.
Philos Ch G, Purnaras IK
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Viability for Semilinear Differential Equations with Infinite Delay [PDF]
Mathematics, 2016 Let X be a Banach space, A : D ( A ) ⊂ X → X the generator of a compact C 0 -semigroup S ( t ) : X → X , t ≥ 0 , D ( · ) : ( a , b ) → 2 X a tube in X, and f : ( a , b ) × B → X a function of Carathéodory type.
Qixiang Dong, Gang Li
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SEIR epidemiological model with varying infectivity and infinite delay [PDF]
Mathematical Biosciences and Engineering, 2008 A new SEIR model with distributed infinite delay is derived whenthe infectivity depends on the age of infection. The basic reproduction numberR0, which is a threshold quantity for the stability of equilibria, is calculated.If $R_0$ 1, then an ...
Gergely Röst, Jianhong Wu
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C^k invariant manifolds for infinite delay
Electronic Journal of Differential Equations, 2019 For a non-autonomous delay difference equation with infinite delay, we construct smooth stable and unstable invariant manifolds for any sufficiently small perturbation of an exponential dichotomy.
Luis Barreira, Claudia Valls
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