Paper Info
Title
On Darboux-Type Differential Inclusions with Uncertainty
Abstract
In this article we prove the existence results for solutions of the Darboux-type problems in fuzzy partial differential inclusions with local conditions of integral types. We present two problems involving open and closed level sets of a given fuzzy mapping. In the first case fuzzy differential inclusion has been transformed into an equivalent Darboux-type problem for partial differential equations and then using the Tychonoff fixed point theorem we prove the existence result for this crisp case. For the second case we use Nadler's fixed point theorem and selection theorem of Kuratowski-Ryll-Nardzewski to find the solution of given differential inclusions problem. We furnish an example to validate our results.
Year
DOI
Venue
2019
10.1155/2019/2161230
COMPLEXITY
DocType
Volume
ISSN
Journal
2019.0
1076-2787
Citations 
PageRank 
References 
0
0.34
0
Authors
3
Name
Order
Citations
PageRank
Nayyar Mehmood101.35
Ahmed Al-Rawashdeh201.01
Akbar Azam3267.91