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- Title
Existence of Fractional Stochastic Schrödinger Evolution Equations with Potential and Optimal Controls.
- Authors
Zuomao Yan; Xiumei Jia
- Abstract
In this paper, we study the fractional stochastic nonlinear Schrödinger evolution equations with potential and optimal controls in Hilbert spaces. The existence of mild solutions is proved by means of fractional calculus, stochastic analysis, and fixed point theorems with the semigroup theory. Using these results, the existence of optimal pairs of system governed by fractional stochastic nonlinear Schrödinger equations is also presented. An example is given for demonstration.
- Subjects
NONLINEAR Schrodinger equation; STOCHASTIC analysis; FRACTIONAL calculus; SEMIGROUPS (Algebra); HILBERT space; OPTIMAL control theory
- Publication
IAENG International Journal of Applied Mathematics, 2016, Vol 46, Issue 2, p81
- ISSN
1992-9978
- Publication type
Article