Name
Title | ||
|---|---|---|
alpha-Analytic solutions of some linear fractional differential equations with variable coefficients |
Abstract | ||
|---|---|---|
This paper investigates the solutions, around an ordinary point x0∈[a,b] for fractional linear differential equations of the form:[Lnα(y)](x)=g(x,α), where[Lnα(y)](x)=y(nα)(x)+∑k=0n-1ak(x)y(kα)(x)with α∈(0,1]. Here n∈N, the real functions g(x) and ak(x) (k=0,1,…,n−1) are defined on the interval [a,b], and y(nα)(x) represents sequential fractional derivatives of order kα of the function y(x). This study is an extension of the corresponding works by Al-Bassam. |
Year | DOI | Venue |
|---|---|---|
2007 | 10.1016/j.amc.2006.08.121 | Applied Mathematics and Computation |
Keywords | DocType | Volume |
α-Analytic solutions,Linear fractional differential equations with variable coefficients,Caputo derivatives,Riemann–Liouville derivatives | Journal | 187 |
Issue | ISSN | Citations |
1 | 0096-3003 | 0 |
PageRank | References | Authors |
0.34 | 0 | 4 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| A. A. Kilbas | 1 | 0 | 0.34 |
| M. Rivero | 2 | 87 | 15.90 |
| L. Rodríguez-Germá | 3 | 31 | 7.58 |
| J. J. Trujillo | 4 | 14 | 2.48 |