A new study on the existence and stability to a system of coupled higher-order nonlinear BVP of hybrid FDEs under the $ p $-Laplacian operator-Reference-Cited by-同舟云学术

A new study on the existence and stability to a system of coupled higher-order nonlinear BVP of hybrid FDEs under the $ p $-Laplacian operator

Published:2022 Issue:8 Volume:7 Page:14187-14207
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Alkhazzan Abdulwasea¹²,Al-Sadi Wadhah³²,Wattanakejorn Varaporn⁴,Khan Hasib⁵,Sitthiwirattham Thanin⁴,Etemad Sina⁶,Rezapour Shahram⁶⁷

Affiliation:

1. School of Mathematics and Statistics, Northwestern Polytechnical University, Xi'an 710072, Shannxi, China

2. Department of Mathematics, College of Science, Sana'a University, Sana'a, Yemen

3. Department of Mathematics, College of Science, China University of Geoscience, Wuhan, China

4. Mathematics Department, Faculty of Science and Technology, Suan Dusit University, Bangkok 10300, Thailand

5. Department of Mathematics, Shaheed Benazir Bhutto University, Sheringal, Dir Upper 18000, Khyber Pakhtunkhwa, Pakistan

6. Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran

7. Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, Taiwan

Abstract

<abstract><p>In this paper, we study a general system of fractional hybrid differential equations with a nonlinear $ \phi_p $-operator, and prove the existence of solution, uniqueness of solution and Hyers-Ulam stability. We use the Caputo fractional derivative in this system so that our system is more general and complex than other nonlinear systems studied before. To establish the results, Green functions are used to transform the considered hybrid boundary problem into a system of fractional integral equations. Then, with the help of the topological degree theorem, we derive some sufficient conditions that ensure the existence and uniqueness of solutions for the proposed system. Finally, an example is presented to show the validity and correctness of the obtained results.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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