Loading...
Multi-order fractional differential equations and their numerical solution
Diethelm, Kai Ford, Neville J.
Diethelm, Kai
Ford, Neville J.
Advisors
Editors
Other Contributors
EPub Date
Publication Date
2004-07-15
Submitted Date
Collections
Other Titles
Abstract
This article considers the numerical solution of (possibly nonlinear) fractional differential equations of the form y(α)(t)=f(t,y(t),y(β1)(t),y(β2)(t),…,y(βn)(t)) with α>βn>βn−1>>β1 and α−βn1, βj−βj−11, 0<β11, combined with suitable initial conditions. The derivatives are understood in the Caputo sense. We begin by discussing the analytical questions of existence and uniqueness of solutions, and we investigate how the solutions depend on the given data. Moreover we propose convergent and stable numerical methods for such initial value problems.
Citation
Applied Mathematics and Computation, 154(3), 2004, pp. 621-640
Publisher
Elsevier
Journal
Applied Mathematics and Computation
Research Unit
DOI
10.1016/S0096-3003(03)00739-2
PubMed ID
PubMed Central ID
Type
Article
Language
en
Description
This article is not available through ChesterRep.
Series/Report no.
ISSN
0096-3003