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Title: Variable order Mittag–Leffler fractional operators on isolated time scales and application to the calculus of variations
Author: Abdeljawad, Thabet
Mert, Raziye
Torres, Delfim F. M.
Keywords: Fractional calculus
Atangana–Baleanu fractional derivative
Fractional variational problems
Issue Date: 2019
Publisher: Springer
Abstract: 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.
Peer review: yes
DOI: 10.1007/978-3-030-11662-0_3
ISBN: 978-3-030-11661-3
Publisher Version:
Appears in Collections:CIDMA - Capítulo de livro
SCG - Capítulo de livro

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