Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1703852 | Applied Mathematical Modelling | 2013 | 13 Pages |
Abstract
In this paper, we study a fractional order iterative functional differential equation with parameter. Some theorems to prove existence of the iterative series solutions are presented under some natural conditions. Unfortunately, uniqueness results can not be obtained since the solution operator is not Lipschitz continuous but only Hölder continuous. Meanwhile, data dependence results of solutions and parameters provide possible way to describe the error estimates between explicit and approximative solutions for such problems. We also make some examples to illustrate our results. Finally, we conclude with some possible extensions to general parametrized iterative fractional functional differential equations.
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
JinRong Wang, Michal Fec˘kan, Yong Zhou,