4.7 Article

Discrete weighted fractional calculus and applications

Journal

NONLINEAR DYNAMICS
Volume 104, Issue 3, Pages 2531-2536

Publisher

SPRINGER
DOI: 10.1007/s11071-021-06410-6

Keywords

Fractional sum; Fractional difference; Entropy

Funding

  1. Fundacao para a Ciencia e a Tecnologia (FCT) [CEECIND/00640/2017]

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This study introduces fractional (nabla) sums and differences with a weight function and proves some of their properties, with particular emphasis on the tempered fractional case. It also postulates a novel entropic functional and discusses some of its properties.
We introduce fractional (nabla) sums and differences with a weight function and prove some of their properties. We give particular emphasis to the tempered fractional case. In the end, we postulate a novel entropic functional and discuss some of its properties.

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