Optimality conditions involving the Mittag–Leffler tempered fractional derivative | Zendy

Ricardo Almeida | Zendy; M. Luísa Morgado | Zendy

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Optimality conditions involving the Mittag–Leffler tempered fractional derivative

Author(s) -

Ricardo Almeida,

M. Luísa Morgado

Publication year - 2021

Publication title -

discrete and continuous dynamical systems - s

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.481

H-Index - 34

eISSN - 1937-1632

pISSN - 1937-1179

DOI - 10.3934/dcdss.2021149

Subject(s) - fractional calculus , discretization , mathematics , generalization , operator (biology) , derivative (finance) , work (physics) , differential operator , calculus (dental) , mathematical optimization , mathematical analysis , physics , medicine , biochemistry , chemistry , dentistry , repressor , transcription factor , economics , gene , thermodynamics , financial economics

In this work we study problems of the calculus of the variations, where the differential operator is a generalization of the tempered fractional derivative. Different types of necessary conditions required to determine the optimal curves are proved. Problems with additional constraints are also studied. A numerical method is presented, based on discretization of the variational problem. Through several examples, we show the efficiency of the method.

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