Abstract
In this paper we consider the existence and uniqueness of positive solutions to the following operator equation in an ordered Banach space $E$$$A(x,x)+B(x,x)=x,~x\in P,$$where $P$ is a cone in $E$. We study an application for fractional differential equations.
Highlights
Definition 1.2. [3,5] The Riemann-Liouville fractional derivative of order α for a continuous function f is defined by
By the mixed monotone properties of T, we obtain un vn, n = 1, 2,. It follows from the mixed monotone properties of T that
We prove that x∗ is the unique fixed point of T in Ph
Summary
Definition 1.2. [3,5] The Riemann-Liouville fractional derivative of order α for a continuous function f is defined by.
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