"The Approximate Solution of Nonlinear Fractional Optimal Control Probl" by Ehsan Ziaei, Mohammad Hadi Farahi et al.

Progress in Fractional Differentiation & Applications

Article Title

The Approximate Solution of Nonlinear Fractional Optimal Control Problems by Measure Theory Approach

Authors

Ehsan Ziaei, Department of Applied Mathematics, Faculty of Mathematical Sciences, International Branch of Ferdowsi University of Mashhad, Mashhad, IranFollow
Mohammad Hadi Farahi
Elahe Safaie

Author Country (or Countries)

Iran

Abstract

In this paper a novel strategy to find an approximate solution for nonlinear fractional optimal control problem is proposed. The measure theory is used to find the solution. There are different definitions for fractional derivatives and integrals. In this work, a new definition which is named conformable calculus is used. Analytically convergence of the proposed method is proved.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/pfda/040304

Recommended Citation

Ziaei, Ehsan; Hadi Farahi, Mohammad; and Safaie, Elahe (2018) "The Approximate Solution of Nonlinear Fractional Optimal Control Problems by Measure Theory Approach," Progress in Fractional Differentiation & Applications: Vol. 4: Iss. 3, Article 4.
DOI: http://dx.doi.org/10.18576/pfda/040304
Available at: https://digitalcommons.aaru.edu.jo/pfda/vol4/iss3/4

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