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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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AIMS Press
2020-01-01
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| Series: | AIMS Mathematics |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/10.3934/math.2020077/fulltext.html |
| _version_ | 1811297066130866176 |
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| author | Beyza Billur İskender Eroǧlu Dilara Yapışkan |
| author_facet | Beyza Billur İskender Eroǧlu Dilara Yapışkan |
| author_sort | Beyza Billur İskender Eroǧlu |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-13T05:57:47Z |
| format | Article |
| id | doaj.art-5b150861a46a449b87b6405e6d402257 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-04-13T05:57:47Z |
| publishDate | 2020-01-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-5b150861a46a449b87b6405e6d4022572022-12-22T02:59:33ZengAIMS PressAIMS Mathematics2473-69882020-01-01521105112610.3934/math.2020077Generalized conformable variational calculus and optimal control problems with variable terminal conditionsBeyza Billur İskender Eroǧlu0Dilara Yapışkan1Department of Mathematics, Balıkesir University, Balıkesir, 10145, TurkeyDepartment of Mathematics, Balıkesir University, Balıkesir, 10145, TurkeyThis 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.https://www.aimspress.com/article/10.3934/math.2020077/fulltext.htmlconformable derivativefractional orderoptimal controlvariational calculusgeneralized euler-lagrange equationgeneralized transversality condition |
| spellingShingle | Beyza Billur İskender Eroǧlu Dilara Yapışkan Generalized conformable variational calculus and optimal control problems with variable terminal conditions AIMS Mathematics conformable derivative fractional order optimal control variational calculus generalized euler-lagrange equation generalized transversality condition |
| title | Generalized conformable variational calculus and optimal control problems with variable terminal conditions |
| title_full | Generalized conformable variational calculus and optimal control problems with variable terminal conditions |
| title_fullStr | Generalized conformable variational calculus and optimal control problems with variable terminal conditions |
| title_full_unstemmed | Generalized conformable variational calculus and optimal control problems with variable terminal conditions |
| title_short | Generalized conformable variational calculus and optimal control problems with variable terminal conditions |
| title_sort | generalized conformable variational calculus and optimal control problems with variable terminal conditions |
| topic | conformable derivative fractional order optimal control variational calculus generalized euler-lagrange equation generalized transversality condition |
| url | https://www.aimspress.com/article/10.3934/math.2020077/fulltext.html |
| work_keys_str_mv | AT beyzabilluriskendereroglu generalizedconformablevariationalcalculusandoptimalcontrolproblemswithvariableterminalconditions AT dilarayapıskan generalizedconformablevariationalcalculusandoptimalcontrolproblemswithvariableterminalconditions |