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
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
