Results 121 to 130 of about 2,296 (157)
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2021
In this paper, a class of nonlocal fractional evolution inclusions of Clarke’s subdifferential on semi-infinite intervals is concerned. Based on the semigroup theory, nonlinear alternative of Leray-Schauder and the method of diagonalization process, the nonlocal controllability result is proved. An example is presented to illustrate the main result.
Xuemei Li, Xinge Liu, Meilan Tang
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In this paper, a class of nonlocal fractional evolution inclusions of Clarke’s subdifferential on semi-infinite intervals is concerned. Based on the semigroup theory, nonlinear alternative of Leray-Schauder and the method of diagonalization process, the nonlocal controllability result is proved. An example is presented to illustrate the main result.
Xuemei Li, Xinge Liu, Meilan Tang
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Mathematical Methods in the Applied Sciences, 2016
This article investigates the solvability and optimal controls of systems monitored by fractional delay evolution inclusions with Clarke subdifferential type. By applying a fixed‐point theorem of condensing multivalued maps and some properties of Clarke subdifferential, an existence theorem concerned with the mild solution for the system is proved ...
Jiang, Yi-Rong, Huang, Nan-Jing
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This article investigates the solvability and optimal controls of systems monitored by fractional delay evolution inclusions with Clarke subdifferential type. By applying a fixed‐point theorem of condensing multivalued maps and some properties of Clarke subdifferential, an existence theorem concerned with the mild solution for the system is proved ...
Jiang, Yi-Rong, Huang, Nan-Jing
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Applied Mathematics & Optimization, 2021
In this paper, the author studies the time optimal control of Clarke subdifferential type stochastic evolution inclusions with delay and non-instantaneous impulses of the form \[ d[x(t)-G(t,x_{t})] \in A(t)[x(t)-G(t,x_{t})]dt+B(t)u(t)dt+\partial F(t,x_{t})dw(t) t\in (s_{i},t_{i+1}], i=0,1,\dots,N,\] \[ x(t)\in g_{i}(t,x_{t}), t\in(t_{i},s_{i}], i=1 ...
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In this paper, the author studies the time optimal control of Clarke subdifferential type stochastic evolution inclusions with delay and non-instantaneous impulses of the form \[ d[x(t)-G(t,x_{t})] \in A(t)[x(t)-G(t,x_{t})]dt+B(t)u(t)dt+\partial F(t,x_{t})dw(t) t\in (s_{i},t_{i+1}], i=0,1,\dots,N,\] \[ x(t)\in g_{i}(t,x_{t}), t\in(t_{i},s_{i}], i=1 ...
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Integral of the Clarke subdifferential mapping and a generalized Newton–Leibniz formula
Nonlinear Analysis: Theory, Methods & Applications, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Nonlinear Analysis: Theory, Methods & Applications, 2012
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Applicable Analysis, 2017
AbstractThis article deals with a control system governed by a semilinear nonlocal fractional evolution inclusion with Clarke subdifferential and its optimal control. First we establish an existence theorem of the mild solution for the presented control system by applying the measure of noncompactness, a fixed point theorem of a condensing multivalued ...
Yi-rong Jiang +2 more
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AbstractThis article deals with a control system governed by a semilinear nonlocal fractional evolution inclusion with Clarke subdifferential and its optimal control. First we establish an existence theorem of the mild solution for the presented control system by applying the measure of noncompactness, a fixed point theorem of a condensing multivalued ...
Yi-rong Jiang +2 more
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Representation of the Clarke subdifferential for a regular quasidifferentiable function
Journal of Optimization Theory and Applications, 1995zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Demyanov, V. F., Sutti, C.
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Mathematical Methods in the Applied Sciences
In this article, we discuss the optimal feedback control of nonlocal Hilfer fractional state‐dependent delay inclusion of order with Clarke's subdifferential. Firstly, we establish the existence of mild solutions for this class of equations by employing the Krasnoselskii's fixed‐point theorem, without using Lipschitz conditions.
Vidushi Tripathi, Sanjukta Das
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In this article, we discuss the optimal feedback control of nonlocal Hilfer fractional state‐dependent delay inclusion of order with Clarke's subdifferential. Firstly, we establish the existence of mild solutions for this class of equations by employing the Krasnoselskii's fixed‐point theorem, without using Lipschitz conditions.
Vidushi Tripathi, Sanjukta Das
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Results in Mathematics, 2018
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Journal of Theoretical Probability
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Varshini, S. +3 more
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Varshini, S. +3 more
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