Trajectory Controllability of Clarke Subdifferential-Type Conformable Fractional Stochastic Differential Inclusions with Non-Instantaneous Impulsive Effects and Deviated Arguments-Reference-Cited by-同舟云学术

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

Published:2023-07-13 Issue:7 Volume:7 Page:541
ISSN:2504-3110
Container-title:Fractal and Fractional
language:en
Short-container-title:Fractal Fract

Author:

Chalishajar Dimplekumar¹^ORCID,Kasinathan Ramkumar²^ORCID,Kasinathan Ravikumar²,Sandrasekaran Varshini³

Affiliation:

1. Department of Applied Mathematics, Mallory Hall, Virginia Military Institute (VMI), Lexington, VA 24450, USA

2. Department of Mathematics, PSG College of Arts & Science, Coimbatore 641 014, India

3. Department of Mathematics, Sri Eshwar College of Engineering, Coimbatore 641 202, India

Abstract

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.

Publisher

MDPI AG

Subject

Statistics and Probability,Statistical and Nonlinear Physics,Analysis

Link

https://www.mdpi.com/2504-3110/7/7/541/pdf

Reference49 articles.

1. Baleanu, D., Diethelm, K., Scalas, E., and Trujillo, J.J. (2012). Fractional Calculus Models and Numerical Methods, World Scientific.

2. Kilbas, A.A., Srivastava, H.M., and Trujillo, J.J. (2006). Theory and Applications of Fractional Differential Equations, Elsevier.

3. Miller, K.S., and Ross, B. (1993). An Introduction to the Fractional Calculus and Fractional Differential Equations, John-Wiley Sons.

4. Podlubny, I. (1999). Fractional Differential Equations, Academic Press.

5. Semilinear neutral fractional stochastic integro-differential equations with nonlocal conditions;Ahmed;J. Theor. Probab.,2015