Ravikumar, K and Ramkumar, K (2025) AStochastic Schrödinger Evolution System with Complex Potential Symmetry Using the Riemann–Liouville Fractional Derivative: Qualitative Behavior and Trajectory Controllability. AStochastic Schrödinger Evolution System with Complex Potential Symmetry Using the Riemann–Liouville Fractional Derivative: Qualitative Behavior and Trajectory Controllability, 17 (8). pp. 1-27. ISSN 2073-8994
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A Stochastic Schrödinger Evolution System with Complex Potential Symmetry Using the Riemann–Liouville Fractional Derivative Qualitative Behavior and Trajectory Controllability.pdf - Published Version
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Abstract
This work investigates fractional stochastic Schrödinger evolution equations in a Hilbert
space, incorporating complex potential symmetry and Poisson jumps. We establish the
existence of mild solutions via stochastic analysis, semigroup theory, and the Mönch
f
ixed-point theorem. Sufficient conditions for exponential stability are derived, ensuring
asymptotic decay. We further explore trajectory controllability, identifying conditions for
guiding the system along prescribed paths. A numerical example is provided to validate
the theoretical results.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | exponential stability; Poisson jump; Rosenblatt process; fractional Schrödinger equation; Riemann–Liouville derivative; trajectory control |
| Divisions: | PSG College of Arts and Science > Department of Mathematics |
| Depositing User: | Mr Team Mosys |
| Date Deposited: | 27 Oct 2025 06:17 |
| Last Modified: | 27 Oct 2025 06:17 |
| URI: | https://ir.psgcas.ac.in/id/eprint/2465 |
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