Open AccessThe Existence and Uniqueness of Solutions and Lyapunov-Type Inequality for CFR Fractional Differential Equations
Author(s) -
Xia Wang,
Run Xu
Publication year - 2018
Publication title -
journal of function spaces
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.579
H-Index - 28
eISSN - 2314-8896
pISSN - 2314-8888
DOI - 10.1155/2018/5875108
Subject(s) - uniqueness , lyapunov function , mathematics , type (biology) , eigenvalues and eigenvectors , value (mathematics) , derivative (finance) , differential equation , mathematical analysis , statistics , physics , geology , nonlinear system , paleontology , quantum mechanics , economics , financial economics
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.