Journal of Function Spaces (Jan 2018)

The Existence and Uniqueness of Solutions and Lyapunov-Type Inequality for CFR Fractional Differential Equations

  • Xia Wang,
  • Run Xu

DOI
https://doi.org/10.1155/2018/5875108
Journal volume & issue
Vol. 2018

Abstract

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In this paper, we research CFR fractional differential equations with the derivative of order 3<α<4. We prove existence and uniqueness theorems for CFR-type initial value problem. By Green’s function and its corresponding maximum value, we obtain the Lyapunov-type inequality of corresponding equations. As for application, we study the eigenvalue problem in the sense of CFR.