@article{066c6396feaa473cb4d0cc3e4324b7fd,
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.",
author = "Nayyar Mehmood and Ahmed Al-Rawashdeh and Akbar Azam",
note = "Funding Information: The second author is grateful to the Department of Research Affairs at UAEU for Grant UPAR (11) 2016, Fund No. 31S249 (COS).Thefirst authorwould like to thank the Department of Mathematical Science,UAEU, and Department of Mathematics and Statistics, International Islamic University, Islamabad, Pakistan, for their support during his tenure of Post Doc. Funding Information: The second author is grateful to the Department of Research Affairs at UAEU for Grant UPAR (11) 2016, Fund No. 31S249 (COS). The first author would like to thank the Department of Mathematical Science, UAEU, and Department of Mathematics and Statistics, International Islamic University, Islamabad, Pakistan, for their support during his tenure of Post Doc. Publisher Copyright: {\textcopyright} 2019 Nayyar Mehmood et al.",
year = "2019",
doi = "10.1155/2019/2161230",
language = "English",
volume = "2019",
journal = "Complexity",
issn = "1076-2787",
publisher = "John Wiley and Sons Inc.",
}