Fractional Herglotz variational problems with Atangana–Baleanu fractional derivatives

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Fractional Herglotz variational problems with Atangana–Baleanu fractional derivatives

The purpose of this paper is to solve fractional calculus of variational Herglotz problem depending on an Atangana-Baleanu fractional derivative. Since the new Atangana-Baleanu fractional derivative is non-singular and non-local, the Euler-Lagrange equations are proposed for the problems of Herglotz. Fractional variational Herglotz problems of variable order are considered and two cases are sho...

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ژورنال

عنوان ژورنال: Journal of Inequalities and Applications

سال: 2018

ISSN: 1029-242X

DOI: 10.1186/s13660-018-1635-9