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