Wolfe Type Duality for a Semi-Infinite Variational Problem Involving Caputo-Fabrizio Fractional Derivative
摘要
The article presents a study on a semi-infinite variational problem with a Caputo-Fabrizio fractional derivative. In this work, we focus on formulating a Wolfe type dual model for the considered semi-infinite variational problem. Thereafter, we establish weak, strong, and strict converse duality results between the primal and dual models under convexity assumptions. Furthermore, a numerical example and the proposed algorithm strengthen the established results. Additionally, a portfolio management case study is provided to illustrate the benefits of the Wolfe type dual model and the associated duality results.