Existence of Solutions for Boundary Value Problems of Vibration Equation with Fractional Derivative  

作　　者：Nan Yao Zeyu Luo 

机构地区：[1]College of Science, University of Shanghai for Science and Technology, Shanghai, China

出　　处：《Journal of Applied Mathematics and Physics》2019年第5期1067-1076,共10页应用数学与应用物理（英文）

摘　　要：In this paper, we investigate the solvability of boundary value problems for a class of vibration differential equation describing the fractional order damped system with signal stimulus. By presenting kernel function through the Laplace transform, and using the eigenvalue and the improved Leray-Schauder degree, the existence of solutions for boundary value problems is established.In this paper, we investigate the solvability of boundary value problems for a class of vibration differential equation describing the fractional order damped system with signal stimulus. By presenting kernel function through the Laplace transform, and using the eigenvalue and the improved Leray-Schauder degree, the existence of solutions for boundary value problems is established.

关 键 词：Caputo DERIVATIVE Boundary Value Problems for Vibration Equation LAPLACE TRANSFORM EIGENVALUE Improved Leray-Schauder Degree 

分 类 号：O1[理学—数学]