Trajectory Controllability of Clarke Subdifferential-Type Conformable Fractional Stochastic Differential Inclusions with Non-Instantaneous Impulsive Effects and Deviated Arguments

被引：1

作者：

Chalishajar, Dimplekumar ^{[1
]}

Kasinathan, Ramkumar ^{[2
]}

Kasinathan, Ravikumar ^{[2
]}

Sandrasekaran, Varshini ^{[3
]}

机构：

[1] Virginia Mil Inst VMI, Dept Appl Math, Mallory Hall, Lexington, VA 24450 USA

[2] PSG Coll Arts & Sci, Dept Math, Coimbatore 641014, India

[3] Sri Eshwar Coll Engn, Dept Math, Coimbatore 641202, India

来源：

FRACTAL AND FRACTIONAL | 2023年 / 7卷 / 07期

关键词：

stochastic differential inclusion; Clarke subdifferential; conformable fractional derivative; trajectory controllability; non-instantaneous impulse; deviated argument; INTEGRODIFFERENTIAL EQUATIONS; SYSTEMS; APPROXIMATE;

D O I：

10.3390/fractalfract7070541

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this study, the multivalued fixed point theorem, Clarke subdifferential properties, fractional calculus, and stochastic analysis are used to arrive at the system's mild solution (1). Furthermore, the mean square moment for the aforementioned system (1) confirms the conditions for trajectory (T-)controllability. The last part of the paper uses two numerical applications to explain the novel theoretical results that were reached.

引用

页数：20

共 27 条

[1] Trajectory controllability of Clarke subdifferential type Hilfer fractional stochastic differential inclusion with non-instantaneous impulsive effects and deviated argument
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RESULTS IN CONTROL AND OPTIMIZATION, 2023, 13
[2] Existence trajectory and optimal control of Clarke subdifferential stochastic integrodifferential inclusions suffered by non-instantaneous impulses and deviated arguments
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[3] Nonlocal Controllability of Sobolev-Type Conformable Fractional Stochastic Evolution Inclusions with Clarke Subdifferential
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[4] Nonlocal Controllability of Sobolev-Type Conformable Fractional Stochastic Evolution Inclusions with Clarke Subdifferential
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[5] Controllability of fractional non-instantaneous impulsive differential inclusions without compactness
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[6] Optimal control of Sobolev-type stochastic Hilfer fractional non-instantaneous impulsive differential inclusion involving Poisson jumps and Clarke subdifferential
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[8] Conformable Fractional Stochastic Differential Inclusions Driven by Poisson Jumps with Optimal Control and Clarke Subdifferential
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[9] Approximate and trajectory controllability of fractional stochastic differential equation with non-instantaneous impulses and Poisson jumps
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[10] New exploration on approximate controllability of fractional neutral-type delay stochastic differential inclusions with non-instantaneous impulse
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