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We discuss the existence and uniqueness of monotone positive solutions for a class of higher-order nonlinear fractional differential equations infinite-point boundary value problems (for short, BVPs) on cones. The existence… Click to show full abstract
We discuss the existence and uniqueness of monotone positive solutions for a class of higher-order nonlinear fractional differential equations infinite-point boundary value problems (for short, BVPs) on cones. The existence and uniqueness of solutions are obtained via applying the properties of the Green function and a fixed point theorem. Our analysis is based on the operator equation T ω + S ω = ω on an ordered Banach space. Finally, a example is given to illustrate our results.
Keywords:
existence;
existence uniqueness;
positive solutions;
higher order;
monotone positive;
uniqueness monotone
Journal Title: Rocky Mountain Journal of Mathematics
Year Published: 2020
Link to full text (if available)
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Journal Title: Rocky Mountain Journal of Mathematics
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!