A New Operational Matrix of Fractional Integration for Shifted Jacobi Polynomials

A new shifted Jacobi operational matrix (SJOM) of fractional integration of any order is introduced and applied together with spectral tau method for solving linear fractional differential equations (FDEs). The fractional integration is described in the Riemann-Liouville sense. The numerical approac...

Full description

Saved in:
Bibliographic Details
Published inBulletin of the Malaysian Mathematical Sciences Society Vol. 37; no. 4
Main Authors Bhrawy, A H, Tharwat, M M, Alghamdi, M A
Format Journal Article
LanguageEnglish
Published Heidelberg Springer Nature B.V 01.01.2014
Subjects
Mathematics
Online AccessGet full text
ISSN0126-6705
2180-4206

Cover

More Information
Summary:A new shifted Jacobi operational matrix (SJOM) of fractional integration of any order is introduced and applied together with spectral tau method for solving linear fractional differential equations (FDEs). The fractional integration is described in the Riemann-Liouville sense. The numerical approach is based on the shifted Jacobi tau method. The main characteristic behind the approach using this technique is that only a limited number of shifted Jacobi polynomials is needed to obtain a satisfactory result. Illustrative examples reveal that the present method is very effective and convenient for linear muti-term FDEs. 2010 Mathematics Subject Classification: 34A08, 65M70, 33C45
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:0126-6705
2180-4206