Results 21 to 30 of about 644,438 (285)
A Semi-Linear Backward Parabolic cauchy Problem with Unbounded Coefficients of Hamilton-Jacobi-Bellman Type and Applications to optimal control [PDF]
, 2014 We obtain weighted uniform estimates for the gradient of the solutions to a class of linear parabolic Cauchy problems with unbounded coefficients. Such estimates are then used to prove existence and uniqueness of the mild solution to a semi-linear ...
Addona, Davide
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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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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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Approximation of mild solutions of the linear and nonlinear elliptic equations [PDF]
, 2014 In this paper, we investigate the Cauchy problem for both linear and semi-linear elliptic equations. In general, the equations have the form \[ \frac{\partial^{2}}{\partial t^{2}}u\left(t\right)=\mathcal{A}u\left(t\right)+f\left(t,u\left(t\right)\right)
Dang Duc Trong +4 more
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Axioms, 2022 In this paper, we obtain new sufficient conditions of the existence of mild solutions for Hilfer fractional evolution equations in the cases that the semigroup associated with an almost sectorial operator is compact as well as noncompact.
Mian Zhou, Chengfu Li, Yong Zhou
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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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Fractal and Fractional, 2023 The knowledge of fractional calculus can be useful in developing models that allow us to better understand and manage some phenomena. In the present paper, we study the topological structure of the mild solution set for a semi-linear differential ...
Zainab Alsheekhhussain +2 more
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A Maximal Inequality for $p$th Power of Stochastic Convolution Integrals [PDF]
, 2015 An inequality for the $p$th power of the norm of a stochastic convolution integral in a Hilbert space is proved. The inequality is stronger than analogues inequalities in the Literature in the sense that it is pathwise and not in expectation.
Salavati, Erfan, Zangeneh, Bijan Z.
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Advances in Difference Equations, 2017 In this paper, we get a new form equivalent integral equation for a class of evolution equations of fractional order with nonlocal conditions on the half-line.
Zhanmei Lv, Yanping Gong, Yi Chen
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Fundamental Solutions and Decay of Fully Non-local Problems
, 2018 In this paper, we study a fully non-local reaction-diffusion equation which is non-local both in time and space. We apply subordination principles to construct the fundamental solutions of this problem, which we use to find a representation of the mild ...
Pozo, Juan C., Vergara, Vicente
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