The Solvability and Fractional Optimal Control for Semilinear Stochastic Systems

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DOI:

https://doi.org/10.4067/S0719-06462017000300001

Abstract

This paper deals with fractional optimal control for a class of semilinear stochastic equation in Hilbert space setting. To ensure the existence and uniqueness of mild solution, a set of sufficient conditions is constructed. The existence of fractional optimal control for semilinear stochastic system is also discussed. Finally, an example is included to show the applications of the developed theory.

Keywords

Fractional calculus , Semilinear stochastic system , Mild solution , Optimal control , Fixed point theory
  • Surendra Kumar Department of Mathematics, University of Delhi, Delhi-110007, India.
  • Pages: 01–14
  • Date Published: 2017-10-01
  • Vol. 19 No. 3 (2017): CUBO, A Mathematical Journal

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Published

2017-10-01

How to Cite

[1]
S. Kumar, “The Solvability and Fractional Optimal Control for Semilinear Stochastic Systems”, CUBO, vol. 19, no. 3, pp. 01–14, Oct. 2017.

Issue

Vol. 19 No. 3 (2017): CUBO, A Mathematical Journal

Section

Articles