Existence and Uniqueness of Uncertain Fractional Backward Difference Equations of Riemann–Liouville Type
Joint Authors
Chu, Yu-Ming
Abdeljawad, Thabet
Mohammed, Pshtiwan Othman
Jarad, Fahd
Source
Mathematical Problems in Engineering
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-10-17
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
In this article, we consider the analytic solutions of the uncertain fractional backward difference equations in the sense of Riemann–Liouville fractional operators which are solved by using the Picard successive iteration method.
Also, we consider the existence and uniqueness theorem of the solution to an uncertain fractional backward difference equation via the Banach contraction fixed-point theorem under the conditions of Lipschitz constant and linear combination growth.
Finally, we point out some examples to confirm the validity of the existence and uniqueness of the solution.
American Psychological Association (APA)
Mohammed, Pshtiwan Othman& Abdeljawad, Thabet& Jarad, Fahd& Chu, Yu-Ming. 2020. Existence and Uniqueness of Uncertain Fractional Backward Difference Equations of Riemann–Liouville Type. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-8.
https://search.emarefa.net/detail/BIM-1196920
Modern Language Association (MLA)
Mohammed, Pshtiwan Othman…[et al.]. Existence and Uniqueness of Uncertain Fractional Backward Difference Equations of Riemann–Liouville Type. Mathematical Problems in Engineering No. 2020 (2020), pp.1-8.
https://search.emarefa.net/detail/BIM-1196920
American Medical Association (AMA)
Mohammed, Pshtiwan Othman& Abdeljawad, Thabet& Jarad, Fahd& Chu, Yu-Ming. Existence and Uniqueness of Uncertain Fractional Backward Difference Equations of Riemann–Liouville Type. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-8.
https://search.emarefa.net/detail/BIM-1196920
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1196920