scholarly journals Existence Results for Fuzzy Partial Differential Inclusions

2016 ◽  
Vol 2016 ◽  
pp. 1-8 ◽  
Author(s):  
Nayyar Mehmood ◽  
Akbar Azam
Keyword(s):  
Differential Inclusions ◽  
Existence Of Solution ◽  
Existence Results ◽  
Partial Differential ◽  
Local Conditions ◽  
Partial Differential Inclusions

We discuss the existence of solution of a certain type of fuzzy partial differential inclusions with local conditions of integral types.

scholarly journals On Darboux-Type Differential Inclusions with Uncertainty

Complexity ◽  
2019 ◽  
Vol 2019 ◽  
pp. 1-10
Author(s):  
Nayyar Mehmood ◽  
Ahmed Al-Rawashdeh ◽  
Akbar Azam
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Differential Inclusions ◽  
Selection Theorem ◽  
Partial Differential ◽  
Local Conditions ◽  
First Case ◽  
Partial Differential Inclusions ◽  
Darboux Type Problem

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.

Sign in / Sign up

Export Citation Format

Share Document