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

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