Existence Results for Generalized Bagley-Torvik Type Fractional Differential Inclusions with Nonlocal Initial Conditions
Joint Authors
Source
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-09-02
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
In this article, we prove the existence of solutions for the generalized Bagley-Torvik type fractional order differential inclusions with nonlocal conditions.
It allows applying the noncompactness measure of Hausdorff, fractional calculus theory, and the nonlinear alternative for Kakutani maps fixed point theorem to obtain the existence results under the assumptions that the nonlocal item is compact continuous and Lipschitz continuous and multifunction is compact and Lipschitz, respectively.
Our results extend the existence theorems for the classical Bagley-Torvik inclusion and some related models.
American Psychological Association (APA)
Chen, Lizhen& Li, Gang. 2018. Existence Results for Generalized Bagley-Torvik Type Fractional Differential Inclusions with Nonlocal Initial Conditions. Journal of Function Spaces،Vol. 2018, no. 2018, pp.1-9.
https://search.emarefa.net/detail/BIM-1185963
Modern Language Association (MLA)
Chen, Lizhen& Li, Gang. Existence Results for Generalized Bagley-Torvik Type Fractional Differential Inclusions with Nonlocal Initial Conditions. Journal of Function Spaces No. 2018 (2018), pp.1-9.
https://search.emarefa.net/detail/BIM-1185963
American Medical Association (AMA)
Chen, Lizhen& Li, Gang. Existence Results for Generalized Bagley-Torvik Type Fractional Differential Inclusions with Nonlocal Initial Conditions. Journal of Function Spaces. 2018. Vol. 2018, no. 2018, pp.1-9.
https://search.emarefa.net/detail/BIM-1185963
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1185963