مشخصات پژوهش

صفحه نخست /A new study on the existence ...
عنوان
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
نوع پژوهش مقاله چاپ شده
کلیدواژه‌ها
Hyers-Ulam stability; coupled system; existence of solution; the Caputo fractional derivative; Green function
چکیده
In this paper, we study a general system of fractional hybrid di fferential equations with a nonlinear 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.
پژوهشگران عبدالوصی الخزان (نفر اول)، ودا السعدی (نفر دوم)، واراپورن واتانا کجورن (نفر سوم)، حسیب خان (نفر چهارم)، تانین سیتهی ویراتهام (نفر پنجم)، سینا اعتماد (نفر ششم به بعد)، شهرام رضاپور (نفر ششم به بعد)