Existence and uniqueness results for a nonlinear Caputo fractional boundary value problem on a star graph

Beitrag in einer Fachzeitschrift


Details zur Publikation

Autorinnen und Autoren: Mehandiratta V, Mehra M, Leugering G
Zeitschrift: Journal of Mathematical Analysis and Applications
Jahr der Veröffentlichung: 2019
ISSN: 0022-247X


Abstract

In this paper, we study a nonlinear Caputo fractional boundary value problem on a star graph. By means of transformation, an equivalent system of fractional boundary value problem is obtained. Then we establish the existence and uniqueness results by fixed point theory: in particular, using Banach's contraction principle and Schaefer's fixed point theorem. We also present some examples to illustrate the application of our results.


FAU-Autorinnen und Autoren / FAU-Herausgeberinnen und Herausgeber

Leugering, Günter Prof. Dr.
Lehrstuhl für Angewandte Mathematik


Einrichtungen weiterer Autorinnen und Autoren

Indian Institute of Technology (IIT), Delhi


Zitierweisen

APA:
Mehandiratta, V., Mehra, M., & Leugering, G. (2019). Existence and uniqueness results for a nonlinear Caputo fractional boundary value problem on a star graph. Journal of Mathematical Analysis and Applications. https://dx.doi.org/10.1016/j.jmaa.2019.05.011

MLA:
Mehandiratta, Vaibhav, Mani Mehra, and Günter Leugering. "Existence and uniqueness results for a nonlinear Caputo fractional boundary value problem on a star graph." Journal of Mathematical Analysis and Applications (2019).

BibTeX: 

Zuletzt aktualisiert 2019-22-05 um 08:38