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Guo, D. and Lakshmikantham, V. (2014) Nonlinear Problems in Abstract Cones. Academic Press, Cambridge.

has been cited by the following article:

• 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.