Multiple Solutions for a Class of Singular Boundary Value Problems of Hadamard Fractional Differential Systems with p-Laplacian Operator  

作　　者：Chen Wang Yansheng Liu Chen Wang;Yansheng Liu(School of Mathematics and Statistics, Shandong Normal University, Jinan, China)

机构地区：[1]School of Mathematics and Statistics, Shandong Normal University, Jinan, China

出　　处：《Journal of Applied Mathematics and Physics》2024年第9期3114-3134,共21页应用数学与应用物理（英文）

摘　　要：This paper discusses the existence and multiplicity of positive solutions for a class of singular boundary value problems of Hadamard fractional differential systems involving the p-Laplacian operator. First, for the sake of overcoming the singularity, sequences of approximate solutions to the boundary value problem are obtained by applying the fixed point index theory on the cone. Next, it is demonstrated that these sequences of approximate solutions are uniformly bounded and equicontinuous. The main results are then established through the Ascoli-Arzelà theorem. Ultimately, an instance is worked out to test and verify the validity of the main results.This paper discusses the existence and multiplicity of positive solutions for a class of singular boundary value problems of Hadamard fractional differential systems involving the p-Laplacian operator. First, for the sake of overcoming the singularity, sequences of approximate solutions to the boundary value problem are obtained by applying the fixed point index theory on the cone. Next, it is demonstrated that these sequences of approximate solutions are uniformly bounded and equicontinuous. The main results are then established through the Ascoli-Arzelà theorem. Ultimately, an instance is worked out to test and verify the validity of the main results.

关 键 词：Multiple Solutions Fixed Point Index Theory Nonlinear Fractional Differential Systems Hadamard Fractional Derivative 

分 类 号：O17[理学—数学]