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February, 2021 Time Optimal Control of System Governed by a Fractional Stochastic Partial Differential Inclusion with Clarke Subdifferential
Zuomao Yan
Taiwanese J. Math. 25(1): 155-181 (February, 2021). DOI: 10.11650/tjm/200805

Abstract

This paper investigates the time optimal control problems to a new class of fractional non-instantaneous impulsive stochastic partial differential inclusions with Clarke subdifferential in Hilbert spaces. Firstly, using the fractional calculus, properties of fractional resolvent operators and a fixed-point theorem, the existence of mild solutions for these systems is presented. Secondly, the existence of time optimal control of system governed by fractional stochastic control inclusions with Clarke subdifferential and non-instantaneous impulses is also obtained. Finally, an example is given to illustrate our main results.

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Zuomao Yan. "Time Optimal Control of System Governed by a Fractional Stochastic Partial Differential Inclusion with Clarke Subdifferential." Taiwanese J. Math. 25 (1) 155 - 181, February, 2021. https://doi.org/10.11650/tjm/200805

Information

Received: 25 February 2020; Revised: 6 July 2020; Accepted: 23 August 2020; Published: February, 2021
First available in Project Euclid: 27 August 2020

Digital Object Identifier: 10.11650/tjm/200805

Subjects:
Primary: 26A33, 34A37, 34K50, 60H15, 93E20

Rights: Copyright © 2021 The Mathematical Society of the Republic of China

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Vol.25 • No. 1 • February, 2021
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