Related Experiment Video
Updated: Feb 17, 2026

WheelCon: A Wheel Control-Based Gaming Platform for Studying Human Sensorimotor Control
Published on: August 15, 2020
Controllability of fractional higher order stochastic integrodifferential systems with fractional Brownian motion
T Sathiyaraj1, P Balasubramaniam1
1Department of Mathematics, The Gandhigram Rural Institute - Deemed University, Gandhigram 624302, Dindigul, Tamil Nadu, India.
Abstract:
This paper presents a new set of sufficient conditions for controllability of fractional higher order stochastic integrodifferential systems with fractional Brownian motion (fBm) in finite dimensional space using fractional calculus, fixed point technique and stochastic analysis approach. In particular, we discuss the complete controllability for nonlinear fractional stochastic integrodifferential systems under the proved result of the corresponding linear fractional system is controllable. Finally, an example is presented to illustrate the efficiency of the obtained theoretical results.
Related Concept Videos
BIBO stability of continuous and discrete -time systems
To determine the BIBO stability, the convolution integral is utilized when a bounded continuous-time input is applied to a Linear Time-Invariant (LTI) system....
Integration of Rational Functions Using Partial Fractions
Improper Integrals: Infinite Intervals
Second Order systems II
Linear Differential Equations
First Order Systems
When a first-order system is subjected to a unit-step input, its response is characterized by its transfer function. By applying the Laplace transform of the unit-step input to the transfer function, expanding the...

