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Existence and stability criterion for the results of fractional order Φp-Laplacian operator boundary value problem | ||
| Computational Methods for Differential Equations | ||
| مقاله 8، دوره 9، شماره 4، زمستان 2021، صفحه 1042-1058 اصل مقاله (169.08 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2021.32807.1580 | ||
| نویسندگان | ||
Wadhah Ahmed Alsadi   1؛ Mokhtar Hussein2؛ Tariq Q. S. Abdullah3
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| 1School of Mathematics and Physics, China University of Geosciences(Wuhan), Wuhan, China | ||
| 2School of Mechanical Engineering and Automation, Northeastern University, Shenyang, China. | ||
| 3School of Mathematics and Physics, China University of Geosciences(Wuhan), Wuhan, China. | ||
| چکیده | ||
| In this literature, we study the existence and stability of the solution of the boundary value problem of fractional differential equations with Φp-Laplacian operator. Our problem is based on Caputo fractional derivative of orders σ, ϵ, where k − 1 < σ, ϵ ≤ k, and k ≥ 3. By using the Schauder fixed point theory and properties of the Green function, some conditions are established which show the criterion of the existence and non-existence solution for the proposed problem. We also investigate some adequate conditions for the Hyers-Ulam stability of the solution. Illustrated examples are given as an application of our result. | ||
| کلیدواژهها | ||
| Fractional differential equations(FDEs)؛ Caputo factional derivative؛ Boundary value problem(BVP)؛ Schauder fixed point؛ Hyers-Ulams(UH) stability؛ Existence and uniqueness(EUS)؛ Laplacian operator؛ Differential equations(DEs) | ||
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آمار تعداد مشاهده مقاله: 79 تعداد دریافت فایل اصل مقاله: 20 |
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