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Erschienen in:
Reproducing Kernel Method for Fractional Derivative with Non-local and Non-singular Kernel Kapitel lesen Erstes Kapitel lesen

2019 | OriginalPaper | Buchkapitel

Variable Order Mittag–Leffler Fractional Operators on Isolated Time Scales and Application to the Calculus of Variations

verfasst von : Thabet Abdeljawad, Raziye Mert, Delfim F. M. Torres

Erschienen in: Fractional Derivatives with Mittag-Leffler Kernel

Verlag: Springer International Publishing

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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.

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Vorheriges Kapitel Necessary and Sufficient Optimality Conditions for Fractional Problems Involving Atangana–Baleanu’s Derivatives
Nächstes Kapitel Modeling and Analysis of Fractional Leptospirosis Model Using Atangana–Baleanu Derivative
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Metadaten
Titel
Variable Order Mittag–Leffler Fractional Operators on Isolated Time Scales and Application to the Calculus of Variations
verfasst von
Thabet Abdeljawad
Raziye Mert
Delfim F. M. Torres
Copyright-Jahr
2019
Buch
Fractional Derivatives with Mittag-Leffler Kernel

Print ISBN: 978-3-030-11661-3

Electronic ISBN: 978-3-030-11662-0

Copyright-Jahr: 2019

DOI
https://doi.org/10.1007/978-3-030-11662-0_3

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