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 JAMP  Vol.7 No.5 , May 2019
Existence of Solutions for Boundary Value Problems of Vibration Equation with Fractional Derivative
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.
Cite this paper: Yao, N. and Luo, Z. (2019) Existence of Solutions for Boundary Value Problems of Vibration Equation with Fractional Derivative. Journal of Applied Mathematics and Physics, 7, 1067-1076. doi: 10.4236/jamp.2019.75072.
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