@article { author = {Alsadi, Wadhah and Hussein, Mokhtar and Abdullah, Tariq}, title = {Existence and stability criterion for the results of fractional order Φp-Laplacian operator boundary value problem}, journal = {Computational Methods for Differential Equations}, volume = {9}, number = {4}, pages = {1042-1058}, year = {2021}, publisher = {University of Tabriz}, issn = {2345-3982}, eissn = {2383-2533}, doi = {10.22034/cmde.2021.32807.1580}, abstract = {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.}, keywords = {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)}, url = {https://cmde.tabrizu.ac.ir/article_13044.html}, eprint = {https://cmde.tabrizu.ac.ir/article_13044_19429c7d99fea54990dcc12d9dd07d23.pdf} }