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Abdeljawad, T. and Baleanu, D. (2017) Fractional Operators with Exponential Kernels and Lyapunov Type Inequality. Advances in Difference Equations, 2017, 313.

has been cited by the following article:

• TITLE: Lyapunov-Type Inequalities for Conformable BVP

  AUTHORS: Xia Wang, Run Xu

  KEYWORDS: Lyapunov-Type Inequalities, Conformable Fractional Derivative, Green’s Function, Eigenvalue

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.6 No.7, July 27, 2018

  ABSTRACT: In this paper, we present Lyapunov-type inequality for conformable BVP with the conformable fractional derivative of order 1≤2 and 2≤3 with corresponding boundary conditions. We obtain the Lyapunov-type inequality by a construction Green’s function and get its corresponding maximum value. Application to the corresponding eigenvalue problem is also discussed.