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

  • Received: 23 October 2019 Accepted: 08 December 2019 Published: 13 January 2020
  • MSC : 34H05, 49K15

  • 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.

    Citation: Beyza Billur İskender Eroǧlu, Dilara Yapışkan. Generalized conformable variational calculus and optimal control problems with variable terminal conditions[J]. AIMS Mathematics, 2020, 5(2): 1105-1126. doi: 10.3934/math.2020077

    Related Papers:

  • 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.


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