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

Mehandiratta V, Mehra M, Leugering G (2019)

Publication Type: Journal article

Publication year: 2019

Journal

Journal of Mathematical Analysis and Applications Elsevier

DOI: 10.1016/j.jmaa.2019.05.011

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.

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. (2019). Existence and uniqueness results for a nonlinear Caputo fractional boundary value problem on a star graph. Journal of Mathematical Analysis and Applications. https://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).

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