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- Title
Existence results and stability analysis for a nonlinear fractional boundary value problem on a circular ring with an attached edge : A study of fractional calculus on metric graph.
- Authors
Mehandiratta, Vaibhav; Mehra, Mani; Leugering, Günter
- Abstract
In this paper, we study a nonlinear fractional boundary value problem on a particular metric graph, namely, a circular ring with an attached edge. First, we prove existence and uniqueness of solutions using the Banach contraction principle and Krasnoselskii's fixed point theorem. Further, we investigate different kinds of Ulam-type stability for the proposed problem. Finally, an example is given in order to demonstrate the application of the obtained theoretical results.
- Subjects
NONLINEAR boundary value problems; NONLINEAR analysis; FRACTIONAL calculus; BOUNDARY value problems; EDGES (Geometry)
- Publication
Networks & Heterogeneous Media, 2021, Vol 16, Issue 2, p155
- ISSN
1556-1801
- Publication type
Academic Journal
- DOI
10.3934/nhm.2021003