Approximate solutions of Atangana-Baleanu variable order fractional problems

The main aim of this paper is to propose a new approach for Atangana-Baleanu variable order fractional problems. We introduce a new reproducing kernel function with polynomial form. The advantage is that its fractional derivatives can be calculated explicitly. Based on this kernel function, a new co...

Täydet tiedot

Bibliografiset tiedot
Päätekijät: Xiuying Li, Yang Gao, Boying Wu
Aineistotyyppi: Artikkeli
Kieli:English
Julkaistu: AIMS Press 2020-03-01
Sarja:AIMS Mathematics
Aiheet:
Linkit:https://www.aimspress.com/article/10.3934/math.2020151/fulltext.html
Kuvaus
Yhteenveto:The main aim of this paper is to propose a new approach for Atangana-Baleanu variable order fractional problems. We introduce a new reproducing kernel function with polynomial form. The advantage is that its fractional derivatives can be calculated explicitly. Based on this kernel function, a new collocation technique is developed for variable order fractional problems in the Atangana-Baleanu fractional sense. To show the accuracy and effectiveness of our approach, we provide three numerical experiments.
ISSN:2473-6988