|
|||||
|
|
On a nonlinear distributed order fractional differential equation |
|
| Authors: | Teodor M Atanackovi? Ljubica Oparnica |
| Institution: | a Faculty of Technical Sciences, University of Novi Sad, Trg D. Obradovica 5, 21000 Novi Sad, Serbia and Montenegro b Institute of Mathematics, University of Novi Sad, 21000 Novi Sad, Serbia and Montenegro |
| Abstract: | We study the existence and the uniqueness of mild and classical solutions for a class of equations of the form  . Such equations arise in distributed derivatives models of viscoelasticity and system identification theory. We also formulate a variational principle for a more general equation based on a method of doubling of variables for such equations. |
| Keywords: | Distributed order fractional differential equations Existence and uniqueness Variational principle |
| 本文献已被 ScienceDirect 等数据库收录！ | |