The Use of Fractional B-Splines Wavelets in Multiterms Fractional Ordinary Differential Equations
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 initia...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2010-01-01
|
| Series: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2010/968186 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849401183282659328 |
|---|---|
| author | X. Huang X. Lu |
| author_facet | X. Huang X. Lu |
| author_sort | X. Huang |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-89c03b095a9849aca8d7793b17b3bb45 |
| institution | Kabale University |
| issn | 1687-9643 1687-9651 |
| language | English |
| publishDate | 2010-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Differential Equations |
| spelling | doaj-art-89c03b095a9849aca8d7793b17b3bb452025-08-20T03:37:50ZengWileyInternational Journal of Differential Equations1687-96431687-96512010-01-01201010.1155/2010/968186968186The Use of Fractional B-Splines Wavelets in Multiterms Fractional Ordinary Differential EquationsX. Huang0X. Lu1School of Mathematical and Computer Sciences, Fuzhou University, Fuzhou 350002, ChinaSchool of Mathematical and Computer Sciences, Fuzhou University, Fuzhou 350002, ChinaWe 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.http://dx.doi.org/10.1155/2010/968186 |
| spellingShingle | X. Huang X. Lu The Use of Fractional B-Splines Wavelets in Multiterms Fractional Ordinary Differential Equations International Journal of Differential Equations |
| title | The Use of Fractional B-Splines Wavelets in Multiterms Fractional Ordinary Differential Equations |
| title_full | The Use of Fractional B-Splines Wavelets in Multiterms Fractional Ordinary Differential Equations |
| title_fullStr | The Use of Fractional B-Splines Wavelets in Multiterms Fractional Ordinary Differential Equations |
| title_full_unstemmed | The Use of Fractional B-Splines Wavelets in Multiterms Fractional Ordinary Differential Equations |
| title_short | The Use of Fractional B-Splines Wavelets in Multiterms Fractional Ordinary Differential Equations |
| title_sort | use of fractional b splines wavelets in multiterms fractional ordinary differential equations |
| url | http://dx.doi.org/10.1155/2010/968186 |
| work_keys_str_mv | AT xhuang theuseoffractionalbsplineswaveletsinmultitermsfractionalordinarydifferentialequations AT xlu theuseoffractionalbsplineswaveletsinmultitermsfractionalordinarydifferentialequations AT xhuang useoffractionalbsplineswaveletsinmultitermsfractionalordinarydifferentialequations AT xlu useoffractionalbsplineswaveletsinmultitermsfractionalordinarydifferentialequations |