Monotone iterative technique for periodic problem involving Riemann–Liouville fractional derivatives in Banach spaces

Monotone iterative technique for periodic problem involving Riemann–Liouville fractional derivatives in Banach spaces

Abstract In this paper, we use a monotone iterative technique in the presence of lower and upper solutions to discuss the existence and uniqueness of periodic solutions for a class of fractional differential equations in an ordered Banach space E. Under some monotonicity conditions and noncompactnes...

Full description

Bibliographic Details
Main Authors: Yonghong Ding, Yongxiang Li
Format: Article
Language:English
Published: SpringerOpen 2018-07-01
Series:Boundary Value Problems
Subjects:
Monotone iterative technique
Lower and upper solutions
Cone
Fractional differential equations
Measure of noncompactness
Online Access:http://link.springer.com/article/10.1186/s13661-018-1037-4
Description
Summary:Abstract In this paper, we use a monotone iterative technique in the presence of lower and upper solutions to discuss the existence and uniqueness of periodic solutions for a class of fractional differential equations in an ordered Banach space E. Under some monotonicity conditions and noncompactness measure conditions of nonlinearity, we obtain the existence of extremal solutions and a unique solution between lower and upper solutions.
ISSN:1687-2770

Similar Items