Generalized conformable variational calculus and optimal control problems with variable terminal conditions

This paper provides generalized transversality conditions for the problems of variational calculus and optimal control, constructed by the conformable derivative. The generalized term is used to emphasize the problems with performance indexes containing the conformable derivative and defined by the...

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Bibliographic Details
Published inAIMS mathematics Vol. 5; no. 2; pp. 1105 - 1126
Main Authors Billurİskender Eroǧlu, Beyza, Yapışkan, Dilara
Format Journal Article
LanguageEnglish
Published AIMS Press 01.01.2020
Subjects
conformable derivative
fractional order
generalized euler-lagrange equation
generalized transversality condition
optimal control
variational calculus
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ISSN2473-6988
2473-6988
DOI10.3934/math.2020077

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Summary:This paper provides generalized transversality conditions for the problems of variational calculus and optimal control, constructed by the conformable derivative. The generalized term is used to emphasize the problems with performance indexes containing the conformable derivative and defined by the classical integral and to distinguish them from the problems with performance indexes defined by the conformable integral. Special cases of the generalized transversality conditions both for variational calculus and optimal control are exhibited and supported by illustrative examples.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2020077