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

共 50 条

[31] Mikusinski's operational calculus for an operator containing a fractional derivative
Betancor, Jorge J.
Barrios, Javier A.
Revista Tecnica de la Facultad de Ingenieria Universidad del Zulia, 1993, 16 (03):
[32] WALSH OPERATIONAL MATRICES FOR FRACTIONAL CALCULUS AND THEIR APPLICATION TO DISTRIBUTED SYSTEMS
CHEN, CF
TSAY, YT
WU, TT
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 1977, 303 (03): : 267 - 284
[33] On an extension of the Mikusinski type operational calculus for the Caputo fractional derivative
Al-Kandari, M.
Hanna, L. A-M.
Luchko, Yu.
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2021, 32 (09) : 710 - 725
[34] Operational calculus for the solution of fractional differential equations with noncommensurate orders
Bengochea, Gabriel
Ortigueira, Manuel
Verde-Star, Luis
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2021, 44 (10) : 8088 - 8096
[35] Fractional calculus in statistical physics: the case of time fractional diffusion equation
Paradisi, Paolo
COMMUNICATIONS IN APPLIED AND INDUSTRIAL MATHEMATICS, 2015, 6 (02):
[36] Applications of the fractional calculus: On a discretization of fractional diffusion equation in one dimension
Kisela, Tomas
Communications - Scientific Letters of the University of Žilina, 2010, 12 (01): : 5 - 11
[37] An Operational Approach With Application to Fractional Bessel Equation
Gabriel Bengochea
Fractional Calculus and Applied Analysis, 2015, 18 : 1201 - 1211
[38] AN OPERATIONAL APPROACH WITH APPLICATION TO FRACTIONAL BESSEL EQUATION
Bengochea, Gabriel
FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2015, 18 (05) : 1201 - 1211
[39] On the equation of motion by using N-fractional calculus
Miyakoda, T
6TH WORLD MULTICONFERENCE ON SYSTEMICS, CYBERNETICS AND INFORMATICS, VOL XI, PROCEEDINGS: COMPUTER SCIENCE II, 2002, : 297 - 302
[40] Application of fractional calculus in modeling and solving the bioheat equation
Magin, R
Sagher, Y
Boregowda, S
DESIGN AND NATURE II: COMPARING DESIGN IN NATURE WITH SCIENCE AND ENGINEERING, 2004, 6 : 207 - 216

← 1 2 3 4 5 →