
Stability and existence the solution for a coupled system of hybrid fractional differential equation with uniqueness
Joint Authors
Abd Allah, Tariq
al-Sadi, Waddah
al-Khazan, Abd al-Wasi
al-Susawah, Muhammad Q. S.
Source
Arab Journal of Basic and Applied Sciences
Issue
Vol. 28, Issue 1 (31 Dec. 2021), pp.340-350, 11 p.
Publisher
University of Bahrain College of Science
Publication Date
2021-12-31
Country of Publication
Bahrain
No. of Pages
11
Main Subjects
Abstract EN
In this literature, we are investigating the existence and uniqueness of solutions for a coupled system of hybrid differential equations with p-Laplacian operator involving the fractional derivatives Caputo and Riemann–Liouville derivatives of various orders.
For this purpose, the proposed problem will be converted into integral equations by using two Green functions Gσ(ζ,ϑ),Gλ(ζ,ϑ) for σ,λ∈(k−1,k], where k≥4.
The existence of a solution is proved by using topological degree and Leray–Schauder fixed point theorems.
Uniqueness of solution is obtained with the help of Banach principle.
Some adequate conditions for Hyers–Ulam- stability of the solution also are investigated.
To verify the results.
An expressive example will be presented to clarify the results.
American Psychological Association (APA)
al-Sadi, Waddah& al-Khazan, Abd al-Wasi& Abd Allah, Tariq& al-Susawah, Muhammad Q. S.. 2021. Stability and existence the solution for a coupled system of hybrid fractional differential equation with uniqueness. Arab Journal of Basic and Applied Sciences،Vol. 28, no. 1, pp.340-350.
https://search.emarefa.net/detail/BIM-1340639
Modern Language Association (MLA)
Abd Allah, Tariq…[et al.]. Stability and existence the solution for a coupled system of hybrid fractional differential equation with uniqueness. Arab Journal of Basic and Applied Sciences Vol. 28, no. 1 (2021), pp.340-350.
https://search.emarefa.net/detail/BIM-1340639
American Medical Association (AMA)
al-Sadi, Waddah& al-Khazan, Abd al-Wasi& Abd Allah, Tariq& al-Susawah, Muhammad Q. S.. Stability and existence the solution for a coupled system of hybrid fractional differential equation with uniqueness. Arab Journal of Basic and Applied Sciences. 2021. Vol. 28, no. 1, pp.340-350.
https://search.emarefa.net/detail/BIM-1340639
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 348-350
Record ID
BIM-1340639