Statistical convergence of new type difference sequences with Caputo fractional derivative

Autor: Abdulkadir Karakaş
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: AIMS Mathematics, Vol 7, Iss 9, Pp 17091-17104 (2022)
Druh dokumentu: article
ISSN: 2473-6988
DOI: 10.3934/math.2022940?viewType=HTML
Popis: In this study, we discuss the idea of difference operators $ \Delta _{p}^{\alpha }, \Delta _{p}^{\left(\alpha \right) } $ $ \left(\alpha \in \mathbb{R}\right) $ and examine some properties of these operators. We also describe the concepts of ordered statistical convergence and lacunary statistical by using the $ \Delta _{p}^{\alpha } $-difference operator. We examine some features of these sequence spaces and present some inclusion theorems. We obtain the Caputo fractional derivative in this work.
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