Abstract
Fractional initial-value problems (fIVPs) arise from many fields of physics and play a very important role in various branches of science and engineering. Finding accurate and efficient methods for solving fIVPs has become an active research undertaking. In this paper, both linear and nonlinear fIVPs are considered. Exact and/or approximate analytical solutions of the fIVPs are obtained by the analytic homotopy-perturbation method (HPM). The results of applying this procedure to the studied cases show the high accuracy, simplicity and efficiency of the approach.
| Original language | English |
|---|---|
| Pages (from-to) | 574-584 |
| Number of pages | 11 |
| Journal | Journal of Computational and Applied Mathematics |
| Volume | 216 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 1 Jul 2008 |
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Keywords
- Caputo's fractional derivative
- Fractional IVPs
- Homotopy-perturbation method
ASJC Scopus subject areas
- Applied Mathematics
- Computational Mathematics
- Numerical Analysis
Cite this
Application of homotopy-perturbation method to fractional IVPs. / Abdulaziz, O.; Hashim, Ishak; Momani, S.
In: Journal of Computational and Applied Mathematics, Vol. 216, No. 2, 01.07.2008, p. 574-584.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Application of homotopy-perturbation method to fractional IVPs
AU - Abdulaziz, O.
AU - Hashim, Ishak
AU - Momani, S.
PY - 2008/7/1
Y1 - 2008/7/1
N2 - Fractional initial-value problems (fIVPs) arise from many fields of physics and play a very important role in various branches of science and engineering. Finding accurate and efficient methods for solving fIVPs has become an active research undertaking. In this paper, both linear and nonlinear fIVPs are considered. Exact and/or approximate analytical solutions of the fIVPs are obtained by the analytic homotopy-perturbation method (HPM). The results of applying this procedure to the studied cases show the high accuracy, simplicity and efficiency of the approach.
AB - Fractional initial-value problems (fIVPs) arise from many fields of physics and play a very important role in various branches of science and engineering. Finding accurate and efficient methods for solving fIVPs has become an active research undertaking. In this paper, both linear and nonlinear fIVPs are considered. Exact and/or approximate analytical solutions of the fIVPs are obtained by the analytic homotopy-perturbation method (HPM). The results of applying this procedure to the studied cases show the high accuracy, simplicity and efficiency of the approach.
KW - Caputo's fractional derivative
KW - Fractional IVPs
KW - Homotopy-perturbation method
UR - http://www.scopus.com/inward/record.url?scp=41949112904&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=41949112904&partnerID=8YFLogxK
U2 - 10.1016/j.cam.2007.06.010
DO - 10.1016/j.cam.2007.06.010
M3 - Article
VL - 216
SP - 574
EP - 584
JO - Journal of Computational and Applied Mathematics
JF - Journal of Computational and Applied Mathematics
SN - 0377-0427
IS - 2
ER -