Integral boundary value problem for fractional order differential equations with non-instantaneous impulses

2020 ◽  
Vol 14 (5) ◽  
pp. 251-266
Author(s):  
Chengyun Long ◽  
Jingli Xie ◽  
Guoping Chen ◽  
Danfeng Luo
Keyword(s):  
Differential Equations ◽  
Boundary Value Problem ◽  
Fractional Order ◽  
Boundary Value ◽  
Integral Boundary ◽  
Integral Boundary Value Problem ◽  
Fractional Order Differential Equations

scholarly journals An Integral Boundary Value Problem of Fractional Differential Equations with a Sign-Changed Parameter in Banach Spaces

Complexity ◽  
2021 ◽  
Vol 2021 ◽  
pp. 1-10
Author(s):  
Chen Yang ◽  
Yaru Guo ◽  
Chengbo Zhai
Keyword(s):  
Differential Equations ◽  
Boundary Value Problem ◽  
Banach Spaces ◽  
Fractional Differential Equations ◽  
Boundary Value ◽  
Uniqueness Of Solutions ◽  
Integral Boundary ◽  
Integral Boundary Value Problem ◽  
Monotone Iterative ◽  
Fractional Differential

This paper is to investigate the existence and uniqueness of solutions for an integral boundary value problem of new fractional differential equations with a sign-changed parameter in Banach spaces. The main used approach is a recent fixed point theorem of increasing Ψ − h , r -concave operators defined on ordered sets. In addition, we can present a monotone iterative scheme to approximate the unique solution. In the end, two simple examples are given to illustrate our main results.

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