Journal
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
Volume 43, Issue 5, Pages 2251-2275Publisher
WILEY
DOI: 10.1002/mma.6038
Keywords
existence; fractional differential equation; Hadamard fractional derivative; infinite interval; nonlocal boundary condition; positive solution; uniqueness and multiplicity
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Funding
- Fundamental Research Funds for the Central Universities [2019BSCX18]
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This paper focuses on a class of Hadamard-type fractional differential equation with nonlocal boundary conditions on an infinite interval. New existence, uniqueness, and multiplicity results of positive solutions are obtained by using Schauder's fixed point theorem, Banach's contraction mapping principle, the monotone iterativemethod, and the Avery-Peterson fixed point theorem. Examples are included to illustrate our main results.
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