On certain dynamic properties of difference sequences and the fractional derivatives

被引：11
作者：
Baliarsingh, Pinakadhar [1 ,2 ]
机构：
[1] Gangadhar Meher Univ, Dept Math, Sambalpur 768004, Odisha, India
[2] Kalinga Inst Ind Technol, Sch Appl Sci, Dept Math, Bhubaneswar, India
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2021年 / 44卷 / 04期
关键词：
chain rule; convergence; difference sequence spaces; Leibniz rule; Mittag-Leffler function; Riemann-Liouville fractional derivatives; MATRIX OPERATORS; FINE SPECTRA; SPACES; ORDER;
D O I：
10.1002/mma.6417
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Recently, the notion of difference operators based on fractional-order is being extensively used in linear algebra, approximation theory, the theory of fractional calculus (FC), and many others. In this paper, an attempt has been taken for studying the convergence of difference sequence and hence analyzing the consistency and validity of certain related formulas. Investigations on basic results involving convergence, linearity, exponent rule, topological properties, Leibniz, and chain rules for fractional derivatives have been incorporated. In this context, some well-known results have been demonstrated and verified with the help of some illustrative examples.
引用
收藏
页码：3023 / 3035
页数：13
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