The existence and uniqueness of solutions for semipositive impulsive fractional differential equation to three-point boundary value problems with p-Laplacian operator
SHENG Shichang1， ZHANG Tinging1， HU Weimin1,2
(1.School of Mathematics and Statistics， Yili Normal University， Yining 835000， Xinjiang， China；2. Institute of Applied Mathematics， Yili Normal University， Yining 835000， Xinjiang， China)
Abstract：In this paper， based on Caputo fractional differential equation， the existence of solutions for a semi-positive fractional differential equation with p-Laplacian operator is discussed. Banach fixed point theorem and Schauder fixed point theorem are used to prove the existence of solutions. The main method is to find the integral equation equivalent to fractional impulsive differential equation， construct the mapping， and use the fixed point theorem to obtain sufficient conditions for the existence and uniqueness of the solution of the equation. Finally， an example is given to illustrate the application of the main results.
盛世昌,张婷婷,胡卫敏,. 具p-Laplacian算子的半正分数阶脉冲微分方程三点边值问题解的存在性与唯一性[J]. 华中师范大学学报(自然科学版), 2023, 57(5): 696-703.
SHENG Shichang,ZHANG Tinging,HU Weimin,. The existence and uniqueness of solutions for semipositive impulsive fractional differential equation to three-point boundary value problems with p-Laplacian operator. journal1, 2023, 57(5): 696-703.
2023, Vol. 57 
