optimal mild solutions
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Optimal Mild Solutions of Time-Fractional Stochastic Navier-Stokes Equation with Rosenblatt Process in Hilbert Space

Advances in Intelligent Systems and Computing - Mathematical Modeling, Computational Intelligence Techniques and Renewable Energy ◽

10.1007/978-981-16-5952-2_9 ◽

2021 ◽

pp. 93-105

Author(s):

K. Anukiruthika ◽

P. Muthukumar

Keyword(s):

Hilbert Space ◽

Stokes Equation ◽

Mild Solutions ◽

Navier Stokes ◽

Navier Stokes Equation ◽

Rosenblatt Process ◽

Optimal Mild Solutions

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Optimal Mild Solutions for a Class of Nonlocal Multi-Valued Stochastic Delay Differential Equations

Journal of Optimization Theory and Applications ◽

10.1007/s10957-019-01490-2 ◽

2019 ◽

Vol 181 (3) ◽

pp. 1053-1075

Author(s):

Zuomao Yan ◽

Li Han

Keyword(s):

Differential Equations ◽

Delay Differential Equations ◽

Mild Solutions ◽

Stochastic Delay Differential Equations ◽

Stochastic Delay ◽

Optimal Mild Solutions ◽

Delay Differential

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Existence of Optimal Mild Solutions for Multi-valued Impulsive Stochastic Partial Functional Integrodifferential Equations

Bulletin of the Iranian Mathematical Society ◽

10.1007/s41980-018-0096-8 ◽

2018 ◽

Vol 44 (5) ◽

pp. 1351-1386 ◽

Author(s):

Zuomao Yan ◽

Fangxia Lu

Keyword(s):

Mild Solutions ◽

Integrodifferential Equations ◽

Optimal Mild Solutions

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Existence of Optimal Mild Solutions and Controllability of Fractional Impulsive Stochastic Partial Integro‐Differential Equations with Infinite Delay

Asian Journal of Control ◽

10.1002/asjc.1760 ◽

2018 ◽

Vol 21 (2) ◽

pp. 725-748 ◽

Author(s):

Zuomao Yan ◽

Xiumei Jia

Keyword(s):

Differential Equations ◽

Infinite Delay ◽

Mild Solutions ◽

Optimal Mild Solutions

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Weighted pseudo almost automorphic classical solutions and optimal mild solutions for fractional differential equations and application in fractional reaction–diffusion equations

Journal of Mathematical Chemistry ◽

10.1007/s10910-014-0373-6 ◽

2014 ◽

Vol 52 (7) ◽

pp. 1984-2012 ◽

Author(s):

Junfei Cao ◽

Zaitang Huang ◽

Caibin Zeng

Keyword(s):

Fractional Differential Equations ◽

Mild Solutions ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Classical Solutions ◽

Pseudo Almost Automorphic ◽

Fractional Differential ◽

Optimal Mild Solutions ◽

Fractional Reaction

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Optimal mild solutions and weighted pseudo-almost periodic classical solutions of fractional integro-differential equations

Nonlinear Analysis ◽

10.1016/j.na.2010.08.036 ◽

2011 ◽

Vol 74 (1) ◽

pp. 224-234 ◽

Author(s):

Junfei Cao ◽

Qigui Yang ◽

Zaitang Huang

Keyword(s):

Differential Equations ◽

Mild Solutions ◽

Classical Solutions ◽

Almost Periodic ◽

Optimal Mild Solutions ◽

Pseudo Almost Periodic

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On optimal mild solutions of non-homogeneous differential equations in Banach spaces

Proceedings of the Royal Society of Edinburgh Section A Mathematics ◽

10.1017/s0308210500017145 ◽

1979 ◽

Vol 84 (3-4) ◽

pp. 273-277 ◽

Author(s):

S. Zaidman

Keyword(s):

Banach Space ◽

Differential Equations ◽

Banach Spaces ◽

Real Line ◽

Infinitesimal Generator ◽

Existence Result ◽

Mild Solutions ◽

Optimal Solutions ◽

Uniformly Convex ◽

Optimal Mild Solutions

SynopsisConsider mild solutions on the real line of non-homogeneous differential equations in a Banach space: u′(t) = Au(t) + f(t), where A is the infinitesimal generator of a C0-semigroup.We prove an existence result for optimal solutions (as defined in the text) in reflexive spaces and an uniqueness fact in uniformly convex B-spaces.

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