On Darboux-Type Differential Inclusions with Uncertainty
Joint Authors
Mehmood, Nayyar
Azam, Akbar
al-Rawashdeh, Ahmed Saleh
Source
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-07-16
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Mehmood, Nayyar& al-Rawashdeh, Ahmed Saleh& Azam, Akbar. 2019. On Darboux-Type Differential Inclusions with Uncertainty. Complexity،Vol. 2019, no. 2019, pp.1-10.
https://search.emarefa.net/detail/BIM-1131195
Modern Language Association (MLA)
Mehmood, Nayyar…[et al.]. On Darboux-Type Differential Inclusions with Uncertainty. Complexity No. 2019 (2019), pp.1-10.
https://search.emarefa.net/detail/BIM-1131195
American Medical Association (AMA)
Mehmood, Nayyar& al-Rawashdeh, Ahmed Saleh& Azam, Akbar. On Darboux-Type Differential Inclusions with Uncertainty. Complexity. 2019. Vol. 2019, no. 2019, pp.1-10.
https://search.emarefa.net/detail/BIM-1131195
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1131195