A note on fractional difference operators

被引：20

作者：

Baliarsingh, P. ^{[1
]}

Nayak, L. ^{[1
]}

机构：

[1] KIIT Univ, Sch Appl Sci, Dept Math, Bhubaneswar 751024, Odisha, India

来源：

ALEXANDRIA ENGINEERING JOURNAL | 2018年 / 57卷 / 02期

关键词：

Fractional order difference operator; Sequence spaces; Fractional derivatives and integrals; SEQUENCE-SPACES; ORDER;

D O I：

10.1016/j.aej.2017.02.022

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In the present article, following on very recent and new approach of fractional difference operator by Baliarsingh (2016), we establish some new ideas involving the exponent rules of this operator. In fact, the new results are sufficient enough to describe the results obtained by Baliarsingh and also provide certain improvements on them. (C) 2017 Faculty of Engineering, Alexandria University. Production and hosting by Elsevier B.V.

引用

页码：1051 / 1054

页数：4

共 13 条

[1] On the fine spectrum of the difference operator Δ on c0 and c [J].

Altay, B ;

Basar, F .

INFORMATION SCIENCES, 2004, 168 (1-4) :217-224

[2]

[Anonymous], 2005, DEMONTRATION MATH

[3] On a fractional difference operator [J].

Baliarsingh, P. .

ALEXANDRIA ENGINEERING JOURNAL, 2016, 55 (02) :1811-1816

[4] On the classes of fractional order difference sequence spaces and their matrix transformations [J].

Baliarsingh, P. ;

Dutta, S. .

APPLIED MATHEMATICS AND COMPUTATION, 2015, 250 :665-674

[5] Some new difference sequence spaces of fractional order and their dual spaces [J].

Baliarsingh, P. .

APPLIED MATHEMATICS AND COMPUTATION, 2013, 219 (18) :9737-9742

[6]

Basarir M, 2011, ANN FUNCT ANAL, V2, P114

[7] On the fine spectra of the generalized rth difference operator Δνr on the sequence space l1 [J].

Dutta, S. ;

Baliarsingh, P. .

APPLIED MATHEMATICS AND COMPUTATION, 2012, 219 (04) :1776-1784

[8]

Et M., 1995, SOOCHOW J MATH, V21, P377

[9]

Gasper G., 2004, ENCY MATH ITS APPL, V2nd ed.

[10]

Kadak U, 2015, J NONLINEAR SCI APPL, V8, P997

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