Multiple solutions for a nonlocal fractional boundary value problem with fractional integral conditions on infinite interval

This paper discusses the existence and multiplicity of positive solutions for fractional differential equations with nonlocal fractional integro-differential boundary conditions set on an unbounded domain. Using properties of Green’s function and the fixed point theory, some existence results were obtained. Three examples illustrate the existence theorems.

• fractional differential equations
• nonlocal boundary value problems
• infinite interval
• positive solutions
• multiplicity of solutions
• existence of solutions
• Green's function
• fixed point theory

• Nonlinear Differential Equations Analysis
• Differential Equations and Boundary Problems
• Fuzzy Systems and Optimization
• fractional differential equations
• nonlocal boundary value problems
• infinite interval
• positive solutions
• multiplicity of solutions
• existence of solutions
• Green's function
• fixed point theory
• Applied Mathematics
• Statistics and Probability
• Mathematics