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Research on a collocation approach and three metaheuristic techniques based on MVO, MFO, and WOA for optimal control of fractional differential equation

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dc.contributor.author Ebrahimzadeh, Asiyeh
dc.contributor.author Khanduzi, Raheleh
dc.contributor.author A Beik, Samaneh P.
dc.contributor.author Baleanu, Dumitru
dc.date.accessioned 2022-12-15T10:35:14Z
dc.date.available 2022-12-15T10:35:14Z
dc.date.issued 2021
dc.identifier.citation Ebrahimzadeh, Asiyeh...et al. (2021). "Research on a collocation approach and three metaheuristic techniques based on MVO, MFO, and WOA for optimal control of fractional differential equation", JVC/Journal of Vibration and Control. tr_TR
dc.identifier.issn 1077-5463
dc.identifier.uri http://hdl.handle.net/20.500.12416/5970
dc.description.abstract Exploiting a comprehensive mathematical model for a class of systems governed by fractional optimal control problems is the significant focal point of the current paper. The efficiency index is a function of both control and state variables and the dynamic control system relies on Caputo fractional derivatives. The attributes of Bernoulli polynomials and their operational matrices of fractional Riemann–Liouville integrations are applied to convert the optimization problem to the nonlinear programing problem. Executing multi-verse optimizer, moth-flame optimization, and whale optimization algorithm terminate to the most excellent solution of fractional optimal control problems. A study on the advantage and performance between these approaches is analyzed by some examples. Comprehensive analysis ascertains that moth-flame optimization significantly solves the example. Furthermore, the privilege and advantage of preference with its accuracy are numerically indicated. Finally, results demonstrate that the objective function value gained by moth-flame optimization in comparison with other algorithms effectively decreased. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.1177/10775463211051447 tr_TR
dc.rights info:eu-repo/semantics/closedAccess tr_TR
dc.subject Bernoulli Polynomials tr_TR
dc.subject Fractional Differential Equation tr_TR
dc.subject Moth-Flame Optimization tr_TR
dc.subject Multi-Verse Optimizer tr_TR
dc.subject Optimal Control tr_TR
dc.subject Whale Optimization Algorithm tr_TR
dc.title Research on a collocation approach and three metaheuristic techniques based on MVO, MFO, and WOA for optimal control of fractional differential equation tr_TR
dc.type article tr_TR
dc.relation.journal JVC/Journal of Vibration and Control tr_TR
dc.contributor.authorID 56389 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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