An analysis on the time optimal control results for Hilfer fractional neutral stochastic integro-differential inclusions with Clarke's subdifferential type
Abstract
The main objective of this research is to investigate the time optimal control results for a system governed by Hilfer fractional neutral stochastic integro-differential inclusions involving Clarke's subdifferential type. Initially, we derive the existing results for the proposed system by employing tools from fractional calculus, semigroup theory, stochastic analysis, the properties of Clarke's subdifferential, and the Bohnenblust-Karlin's fixed point theorem. Subsequently, we establish a set of sufficient conditions for the existence of time optimal controls within this framework. Finally, an illustrative example is provided to validate and demonstrate the applicability of the theoretical findings.
Fields of Study & Subjects
Nonlinear Differential Equations Analysis
Fractional Differential Equations Solutions
Contact Mechanics and Variational Inequalities
Publication details
- Journal / source
- International Journal of Computer Mathematics
- Publisher
- Informa UK Limited
- Volume
- 103
- Issue
- 7
- Pages
- 1373–1398
- Publication date
- 20 January 2026
- Language
- EN