Background
Type: Article

Optimality Conditions and Duality for Nonsmooth Fractional Continuous-Time Problems

Journal: Journal of Optimization Theory and Applications (00223239)Year: January 2012Volume: 152Issue: Pages: 245 - 255
Nobakhtian S.a Pouryayevali M.R.
a :University of Isfahan - IRAN(IR) - Isfahan
DOI:10.1007/s10957-010-9693-2Language: English

Abstract

In this paper, we consider a class of nonsmooth fractional continuous-time problems. Optimality conditions under certain structure of generalized invexity are derived for this class. Subsequently, two parameter-free dual models are formulated. Finally weak, strong, and strict converse duality theorems are proved in the framework of generalized invexity. © 2010 Springer Science+Business Media, LLC.