TY - JOUR
ID - 13044
TI - Existence and stability criterion for the results of fractional order Φp-Laplacian operator boundary value problem
JO - Computational Methods for Differential Equations
JA - CMDE
LA - en
SN - 2345-3982
AU - Alsadi, Wadhah Ahmed
AU - Hussein, Mokhtar
AU - Abdullah, Tariq Q. S.
AD - School of Mathematics and Physics,
China University of Geosciences(Wuhan), Wuhan, China
AD - School of Mechanical Engineering and Automation,
Northeastern University, Shenyang, China.
AD - School of Mathematics and Physics,
China University of Geosciences(Wuhan), Wuhan, China.
Y1 - 2021
PY - 2021
VL - 9
IS - 4
SP - 1042
EP - 1058
KW - Fractional differential equations(FDEs)
KW - Caputo factional derivative
KW - Boundary value problem(BVP)
KW - Schauder fixed point
KW - Hyers-Ulams(UH) stability
KW - Existence and uniqueness(EUS)
KW - Laplacian operator
KW - Differential equations(DEs)
DO - 10.22034/cmde.2021.32807.1580
N2 - 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.
UR - https://cmde.tabrizu.ac.ir/article_13044.html
L1 - https://cmde.tabrizu.ac.ir/article_13044_19429c7d99fea54990dcc12d9dd07d23.pdf
ER -