A new transform method in nabla discrete fractional calculus

被引：4

作者：

Jarad, Fahd ^{[1
]}

Kaymakcalan, Billur ^{[1
]}

Tas, Kenan ^{[1
]}

机构：

[1] Cankaya Univ, Dept Math & Comp Sci, TR-06810 Ankara, Turkey

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2012年

关键词：

discrete Sumudu transform; fractional sums; fractional differences; convolution; time scale; DIFFERENTIAL-EQUATIONS; SUMUDU TRANSFORM; RIEMANN;

D O I：

10.1186/1687-1847-2012-190

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Starting from the definition of the Sumudu transform on a general nabla time scale, we define the generalized nabla discrete Sumudu transform. We obtain the nabla discrete Sumudu transform of Taylor monomials, fractional sums, and differences. We apply this transform to solve some fractional difference equations with initial value problems. MSC: 44A15, 44A55.

引用

页数：17

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