Name
Abstract | ||
|---|---|---|
Multiple solutions of the fractional differential equations is an interesting subject in the area of mathematics, sciences and engineering. A new Algorithm for finding multiple solution of fractional differential equations is constructed based on a homotopy map between initial approximation and exact solution with predictor force condition. Easy and efficient algorithm is introduced to approximate the multiple solutions, even if these multiple solutions are very close and thus rather difficult to distinct even by numerical techniques. Several examples are presented to demonstrate the efficiency of the algorithm. To the best of our knowledge, we present multiple solutions for fractional differential equations analytically. |
Year | DOI | Venue |
|---|---|---|
2013 | 10.1016/j.amc.2013.03.066 | Applied Mathematics and Computation |
Keywords | Field | DocType |
multiple solution,fractional differential equations analytically,exact solution,analytic approach,numerical technique,new algorithm,interesting subject,initial approximation,fractional differential equation,efficient algorithm,homotopy map,homotopy analysis method | Exact solutions in general relativity,Differential equation,Mathematical optimization,Mathematical analysis,Homotopy perturbation method,Numerical partial differential equations,Homotopy,Examples of differential equations,Homotopy analysis method,Mathematics | Journal |
Volume | Issue | ISSN |
219 | 17 | 0096-3003 |
Citations | PageRank | References |
2 | 0.47 | 2 |
Authors | ||
5 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| A. K. Alomari | 1 | 14 | 4.06 |
| F. Awawdeh | 2 | 7 | 2.11 |
| N. Tahat | 3 | 4 | 3.21 |
| F. Bani Ahmad | 4 | 2 | 0.47 |
| W. Shatanawi | 5 | 34 | 3.37 |