Title of article
Existence and stability criterion for the results of fractional order p-Laplacian operator boundary value problem
Author/Authors
Al-Sadi, Wadhah School of Mathematics and Physics - China University of Geosciences(Wuhan) - Wuhan - China , Hussein, Mokhtar School of Mechanical Engineering and Automation - Northeastern University - Shenyang - China , Abdullah, Tariq Q. S School of Mathematics and Physics - China University of Geosciences(Wuhan) - Wuhan - China
Pages
17
From page
1042
To page
1058
Abstract
In this literature, we study the existence and stability of the solution of the boundary value problem of fractional differential equations with p-Laplacian operator. Our problem is based on Caputo fractional derivative of orders ; ϵ, where k 1 < ; ϵ k, and k 3. By using the Schauder xed 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.
Keywords
Fractional differential equations(FDEs) , Caputo factional derivative , Boundary value problem(BVP) , Hyers-Ulams(UH) stability , Existence and uniqueness(EUS) , Laplacian operator , Differential equations(DEs)
Journal title
Computational Methods for Differential Equations
Serial Year
2021
Record number
2666561
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