University of TabrizComputational Methods for Differential Equations2345-39829420211001Existence and stability criterion for the results of fractional order Φp-Laplacian operator boundary value problem104210581304410.22034/cmde.2021.32807.1580ENWadhah AhmedAlsadiSchool of Mathematics and Physics,
China University of Geosciences(Wuhan), Wuhan, China0000-0002-8284-8026MokhtarHusseinSchool of Mechanical Engineering and Automation,
Northeastern University, Shenyang, China.Tariq Q. S.AbdullahSchool of Mathematics and Physics,
China University of Geosciences(Wuhan), Wuhan, China.Journal Article20190713In 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.https://cmde.tabrizu.ac.ir/article_13044_19429c7d99fea54990dcc12d9dd07d23.pdf