Variable order Mittag–Leffler fractional operators on isolated time scales and application to the calculus of variations

We introduce new fractional operators of variable order in isolated time scales with Mittag–Leffler kernels. This allows a general formulation of a class of fractional variational problems involving variable-order difference operators. Main results give fractional integration by parts formulas and n...

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Bibliographic Details
Main Author: Abdeljawad, Thabet (author)
Other Authors: Mert, Raziye (author), Torres, Delfim F. M. (author)
Format: bookPart
Language:eng
Published: 2019
Subjects:
Fractional calculus
Atangana–Baleanu fractional derivative
Fractional variational problems
Online Access:http://hdl.handle.net/10773/25678
Country:Portugal
Oai:oai:ria.ua.pt:10773/25678
Description
Summary:We introduce new fractional operators of variable order in isolated time scales with Mittag–Leffler kernels. This allows a general formulation of a class of fractional variational problems involving variable-order difference operators. Main results give fractional integration by parts formulas and necessary optimality conditions of Euler–Lagrange type.

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