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arXiv · 1809.02029

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

Thabet Abdeljawad·Raziye Mert·Delfim F. M. Torres
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Abstract

We introduce new fractional operators of variable order on 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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Thabet Abdeljawad, Raziye Mert, Delfim F. M. Torres. 2018-09-06. Variable order Mittag-Leffler fractional operators on isolated time scales and application to the calculus of variations. https://doi.org/10.1007/978-3-030-11662-0_3

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