Journal
AIMS MATHEMATICS
Volume 5, Issue 2, Pages 1105-1126Publisher
AMER INST MATHEMATICAL SCIENCES-AIMS
DOI: 10.3934/math.2020077
Keywords
conformable derivative; fractional order; optimal control; variational calculus; generalized Euler-Lagrange equation; generalized transversality condition
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Funding
- Scientific Research Projects Department of Balikesir University [BAP 2018/022]
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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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