International Journal of Differential Equations

The Use of Fractional B-Splines Wavelets in Multiterms Fractional Ordinary Differential Equations

Abstract

We discuss the existence and uniqueness of the solutions of the nonhomogeneous linear differential equations of arbitrary positive real order by using the fractional B-Splines wavelets and the Mittag-Leffler function. The differential operators are taken in the Riemann-Liouville sense and the initial values are zeros. The scheme of solving the fractional differential equations and the explicit expression of the solution is given in this paper. At last, we show the asymptotic solution of the differential equations of fractional order and corresponding truncated error in theory.

Article information

Source
Int. J. Differ. Equ., Volume 2010, Special Issue (2010), Article ID 968186, 13 pages.

Dates
Revised: 2 November 2009
Accepted: 4 November 2009
First available in Project Euclid: 26 January 2017

https://projecteuclid.org/euclid.ijde/1485399875

Digital Object Identifier
doi:10.1155/2010/968186

Mathematical Reviews number (MathSciNet)
MR2575289

Zentralblatt MATH identifier
1207.34009

Citation

Huang, X.; Lu, X. The Use of Fractional B-Splines Wavelets in Multiterms Fractional Ordinary Differential Equations. Int. J. Differ. Equ. 2010, Special Issue (2010), Article ID 968186, 13 pages. doi:10.1155/2010/968186. https://projecteuclid.org/euclid.ijde/1485399875

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