TITLE:
Existence of Solutions for Boundary Value Problems of Vibration Equation with Fractional Derivative
AUTHORS:
Nan Yao, Zeyu Luo
KEYWORDS:
Caputo Derivative, Boundary Value Problems for Vibration Equation, Laplace Transform, Eigenvalue, Improved Leray-Schauder Degree
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.7 No.5,
May
23,
2019
ABSTRACT: 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.