FRACTIONAL INTEGRALS AND DERIVATIVES IN q-CALCULUS

被引：262

作者：

Rajkovic, Predrag M. ^{[1
]}

Marinkovic, Sladana D. ^{[2
]}

Stankovic, Miomir S. ^{[3
]}

机构：

[1] Univ Nis, Dept Math, Fac Mech Engn, Nish, Serbia

[2] Univ Nis, Dept Math, Fac Elect Engn, Nish, Serbia

[3] Univ Nis, Dept Math, Fac Occupat Safety, Nish, Serbia

来源：

APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS | 2007年 / 1卷 / 01期

关键词：

Basic hypergeometric functions; Fractional calculus; q-derivative; q-integral;

D O I：

10.2298/AADM0701311R

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We generalize the notions of the fractional q-integral and q-derivative by introducing variable lower limit of integration. We discuss some properties and their relations. Finally, we give a q-TAYLOR-like formula which includes fractional q-derivatives of the function.

引用

页码：311 / 323

页数：13

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