Nontrivial solutions of systems of nonlocal Caputo fractional BVPs
Gennaro Infante, Samira Rihani
TL;DR
This paper investigates the existence, non-existence, and multiplicity of nontrivial solutions for systems of Caputo fractional differential equations with nonlocal boundary conditions, using fixed point index theory.
Contribution
It introduces a new approach combining fixed point index with recent results to analyze solutions of nonlocal fractional boundary value problems.
Findings
Established conditions for existence of solutions.
Identified criteria for non-existence of solutions.
Demonstrated multiplicity results for certain systems.
Abstract
We discuss the existence, non-existence and multiplicity of nontrivial solutions for systems of Caputo fractional differential equations subject to nonlocal boundary conditions. Our methodology relies on classical fixed point index and we make use of recent results by Infante and Pietramala.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsNonlinear Differential Equations Analysis · Fractional Differential Equations Solutions · Differential Equations and Boundary Problems