Existence of positive solutions for a class of fractional differential equations with the derivative term via a new fixed point theorem

Existence of positive solutions for a class of fractional differential equations with the derivative term via a new fixed point theorem

Abstract In this paper, we firstly establish the existence and uniqueness of solutions of the operator equation A ( x , x ) + B ( x , x ) + C ( x ) + e = x $A(x,x)+ B(x,x)+C(x)+e = x$ , where A and B are two mixed monotone operators, C is a decreasing operator, and e ∈ P $e\in P$ with θ ≤ e ≤ h $\th...

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Bibliographic Details
Main Authors: Yanbin Sang, Luxuan He, Yanling Wang, Yaqi Ren, Na Shi
Format: Article
Language:English
Published: SpringerOpen 2021-03-01
Series:Advances in Difference Equations
Subjects:
Existence and uniqueness
Mixed monotone operator
Decreasing operator
Derivative term
Fractional equation
Online Access:https://doi.org/10.1186/s13662-021-03318-8

Internet

https://doi.org/10.1186/s13662-021-03318-8

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