A necessary condition of Pontryagin type for fuzzy fractional optimal control problems

Abstract

We prove necessary optimality conditions of Pontryagin type for a class of fuzzy fractional optimal control problems with the fuzzy fractional derivative described in the Caputo sense. The new results are illustrated by computing the extremals of three fuzzy optimal control systems, which improve recent results of Najariyan and Farahi.

arXiv commentThis is a preprint of a paper whose final and definite form is with 'Discrete and Continuous Dynamical Systems - Series S' (DCDS-S), ISSN 1937-1632 (print), ISSN 1937-1179 (online), available at [https://www.aimsciences.org/journals/home.jsp?journalID=15]. Paper Submitted 06-Jun-2016; Revised 27-Nov-2016; Accepted 03-Feb-2017

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Cited by in corpus (3)

• A survey on fuzzy fractional differential and optimal control nonlocal evolution equations
• Direct transcription methods based on fractional integral approximation formulas for solving nonlinear fractional optimal control problems
• An efficient analytical scheme for fuzzy conformable fractional differential equations arising in physical sciences