Estimates of Mild Solutions of Navier–Stokes Equations in Weak Herz-Type Besov–Morrey Spaces
Mathematics, 2022 The main goal of this article is to provide estimates of mild solutions of Navier–Stokes equations with arbitrary external forces in Rn for n≥2 on proposed weak Herz-type Besov–Morrey spaces.
Ruslan Abdulkadirov, Pavel Lyakhov
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Analysis of Hilfer Fractional Integro-Differential Equations with Almost Sectorial Operators
Fractal and Fractional, 2021 In this work, we investigate a class of nonlocal integro-differential equations involving Hilfer fractional derivatives and almost sectorial operators. We prove our results by applying Schauder’s fixed point technique.
Kulandhaivel Karthikeyan +2 more
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On a second-order differential problem with fractional derivatives of order greater than one
Mathematical Modelling and Analysis, 2013 A second-order abstract problem with derivatives of non-integer order is investigated. The nonlinearity involves fractional derivatives between 1 and 2. Existence and uniqueness of mild and classical solutions are established in appropriate spaces.
Nasser-eddine Tatar
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On some existence results of mild solutions for nonlocal integrodifferential Cauchy problems in Banach spaces [PDF]
Opuscula Mathematica, 2011 In this paper, we study a class of integrodifferential evolution equations with nonlocal initial conditions in Banach spaces. Existence results of mild solutions are proved for a class of integrodifferential evolution equations with nonlocal initial ...
YanLong Yang, JinRong Wang
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Controllability of Impulsive ψ-Caputo Fractional Evolution Equations with Nonlocal Conditions
Mathematics, 2021 This paper is mainly concerned with the exact controllability for a class of impulsive ψ-Caputo fractional evolution equations with nonlocal conditions. First, by generalized Laplace transforms, a mild solution for considered problems is introduced. Next,
Longfei Lin, Yansheng Liu, Daliang Zhao
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n0-Order Weighted Pseudo Δ-Almost Automorphic Functions and Abstract Dynamic Equations
Mathematics, 2019 In this paper, we introduce the concept of a n 0 -order weighted pseudo Δ n 0 δ -almost automorphic function under the matched space for time scales and we present some properties.
Chao Wang +3 more
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Fractal and Fractional, 2018 The objective of this paper is to analyze the approximate controllability of a semilinear stochastic integrodifferential system with nonlocal conditions in Hilbert spaces.
Annamalai Anguraj, K. Ramkumar
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Existence of the Mild Solutions for Delay Fractional Integrodifferential Equations with Almost Sectorial Operators [PDF]
, 2012 This paper is concerned with the existence of mild solutions for the fractional integrodifferential equations with finite delay and almost sectorial operators in a separable Banach space X.
Fang Li
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Mild solutions of a fractional partial differential equation with noise
, 2021 This article focuses on studying mild solutions of an original fractional partial differential equation disturbed by multiplicative white noise.
İNÇ, MUSTAFA +7 more
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On a Linear Differential Game of Pursuit with Integral Constraints in ℓ2
MathematicsIn this paper, we study the stability, controllability, and differential game of pursuit for an infinite system of linear ODEs in ℓ2. The system we consider has a special right-hand side, which is not diagonal and serves as a toy model for controllable ...
Ibroximjon Zaynabiddinov +3 more
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