Trajectory controllability of Hilfer fractional neutral stochastic differential equation with deviated argument and mixed fractional Brownian motion

• Published in: Optimization Vol. 72; no. 11; pp. 2865 - 2891
• Main Authors: Durga, N., Muthukumar, P., Malik, Muslim
• Format: Journal Article
• Language: English
• Published: Philadelphia Taylor & Francis 02.11.2023; Taylor & Francis LLC
• Subjects: Brownian motion; Controllability; Deviated argument; Differential equations; Fixed points (mathematics); fractional Brownian motion; Fractional calculus; Hilbert space; Hilfer fractional derivative; neutral stochastic differential equation with infinite delay; Trajectory control; Trajectory controllability

This manuscript is concerned with the trajectory controllability of Hilfer fractional neutral stochastic differential equation having deviated arguments and mixed fractional Brownian motion with the Hurst parameter . The proposed Hilfer fractional system's solvability in Hilbert space is acquir...