%0 Journal Article
%T Existence and stability criterion for the results of fractional order Φp-Laplacian operator boundary value problem
%J Computational Methods for Differential Equations
%I University of Tabriz
%Z 2345-3982
%A Alsadi, Wadhah Ahmed
%A Hussein, Mokhtar
%A Abdullah, Tariq Q. S.
%D 2021
%\ 10/01/2021
%V 9
%N 4
%P 1042-1058
%! Existence and stability criterion for the results of fractional order Φp-Laplacian operator boundary value problem
%K Fractional differential equations(FDEs)
%K Caputo factional derivative
%K Boundary value problem(BVP)
%K Schauder fixed point
%K Hyers-Ulams(UH) stability
%K Existence and uniqueness(EUS)
%K Laplacian operator
%K Differential equations(DEs)
%R 10.22034/cmde.2021.32807.1580
%X 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.
%U https://cmde.tabrizu.ac.ir/article_13044_19429c7d99fea54990dcc12d9dd07d23.pdf