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

Mehandiratta V, Mehra M, Leugering G (2021)

Publication Type: Journal article

Publication year: 2021

Journal

Networks and Heterogeneous Media American Institute of Mathematical Sciences (AIMS)

Book Volume: 16

Pages Range: 155-185

Journal Issue: 2

DOI: 10.3934/nhm.2021003

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.

Authors with CRIS profile

Günter Leugering Lehrstuhl für Angewandte Mathematik

Involved external institutions

Indian Institute of Technology (IIT), Delhi IN India (IN)

How to cite

APA:

Mehandiratta, V., Mehra, M., & Leugering, G. (2021). 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. Networks and Heterogeneous Media, 16(2), 155-185. https://dx.doi.org/10.3934/nhm.2021003

MLA:

Mehandiratta, Vaibhav, Mani Mehra, and Günter Leugering. "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." Networks and Heterogeneous Media 16.2 (2021): 155-185.

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