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Alsadi, Wadhah, Hussein, Mokhtar, Abdullah, Tariq. (1400). Existence and stability criterion for the results of fractional order Φp-Laplacian operator boundary value problem. سامانه مدیریت نشریات علمی, 9(4), 1042-1058. doi: 10.22034/cmde.2021.32807.1580
Wadhah Ahmed Alsadi; Mokhtar Hussein; Tariq Q. S. Abdullah. "Existence and stability criterion for the results of fractional order Φp-Laplacian operator boundary value problem". سامانه مدیریت نشریات علمی, 9, 4, 1400, 1042-1058. doi: 10.22034/cmde.2021.32807.1580
Alsadi, Wadhah, Hussein, Mokhtar, Abdullah, Tariq. (1400). 'Existence and stability criterion for the results of fractional order Φp-Laplacian operator boundary value problem', سامانه مدیریت نشریات علمی, 9(4), pp. 1042-1058. doi: 10.22034/cmde.2021.32807.1580
Alsadi, Wadhah, Hussein, Mokhtar, Abdullah, Tariq. Existence and stability criterion for the results of fractional order Φp-Laplacian operator boundary value problem. سامانه مدیریت نشریات علمی, 1400; 9(4): 1042-1058. doi: 10.22034/cmde.2021.32807.1580

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، دی 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
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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