Abstract
This paper considers the existence of positive solutions for fractional-order nonlinear differential equation with integral boundary conditions on the half-infinite interval. By using the fixed point theorem in a cone, sufficient conditions for the existence of at least one or at least two positive solutions of a boundary value problem are established. These theorems also reveal the properties of solutions on the half-line.
Highlights
Boundary value problems are often studies in the areas of applied mathematics and physics
The existence of positive solutions for nonlinear fractional differential equation boundary value problems have been widely studied by many authors; see [ – ] and the references therein
Motivated by all the works mentioned, we study the following fractional boundary value problem on the half-line:
Summary
Boundary value problems are often studies in the areas of applied mathematics and physics. The existence of positive solutions for nonlinear fractional differential equation boundary value problems have been widely studied by many authors; see [ – ] and the references therein.
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