@article{Karakaş2022, 
author = {Abdulkadir Karakaş},
title = {Statistical convergence of new type difference sequences with Caputo fractional derivative},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {9},
pages = {17091-17104},
keywords = {difference operators, statistical convergence, sequence spaces, fractional difference operators},
url = {https://www.sciopen.com/article/10.3934/math.2022940},
doi = {10.3934/math.2022940},
abstract = {In this study, we discuss the idea of difference operators        Δ          p              α        ,      Δ          p                      (        α        )                    (          α      ∈              R              )   and examine some properties of these operators. We also describe the concepts of ordered statistical convergence and lacunary statistical by using the        Δ          p              α      -difference operator. We examine some features of these sequence spaces and present some inclusion theorems. We obtain the Caputo fractional derivative in this work.}
}