On Fractional Whittaker Equation and Operational Calculus

被引：0

作者：

Rodrigues, M. M. ^{[1
]}

Vieira, N. ^{[1
]}

机构：

[1] Univ Aveiro, Dept Math, CIDMA Ctr Res & Dev Math & Applicat, P-3810193 Aveiro, Portugal

来源：

JOURNAL OF MATHEMATICAL SCIENCES-THE UNIVERSITY OF TOKYO | 2013年 / 20卷 / 01期

关键词：

Fractional differential equations; Riemann-Liouville derivative; Whittaker equation;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is intended to investigate a fractional differential Whittaker's equation of order 2 alpha, with alpha is an element of]0, 1], involving the Riemann-Liouville derivative. We seek a possible solution in terms of power series by using operational approach for the Laplace and Mellin transform. A recurrence relation for coefficients is obtained. The existence and uniqueness of solutions is discussed via Banach fixed point theorem.

引用

页码：127 / 146

页数：20

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