2010 |
Amairi, M.; Aoun, M.; Najar, S.; Abdelkrim, M. N. A constant enclosure method for validating existence and uniqueness of the solution of an initial value problem for a fractional differential equation Article de journal Dans: Applied Mathematics and Computation, vol. 217, no. 5, p. 2162 – 2168, 2010, (Cited by: 18). Résumé | Liens | BibTeX | Étiquettes: Caputo fractional derivatives, Differential equations, Enclosures, Existence and uniqueness, Fractional order, Initial value problems, Initial values, Interval analysis, Nonlinear equations, Validated computing @article{Amairi20102162b, This paper presents a new method for validating existence and uniqueness of the solution of an initial value problems for fractional differential equations. An algorithm selecting a stepsize and computing a priori constant enclosure of the solution is proposed. Several illustrative examples, with linear and nonlinear fractional differential equations, are given to demonstrate the effectiveness of the method. © 2010 Elsevier Inc. All rights reserved. |
Publications
2010 |
A constant enclosure method for validating existence and uniqueness of the solution of an initial value problem for a fractional differential equation Article de journal Dans: Applied Mathematics and Computation, vol. 217, no. 5, p. 2162 – 2168, 2010, (Cited by: 18). |