Journal
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Volume 477, Issue 2, Pages 1243-1264Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jmaa.2019.05.011
Keywords
Caputo fractional derivative; Boundary value problern; Fixed point theorems; Differential equation on graphs
Categories
Funding
- Indo-German exchange program Multiscale Modelling, Simulation and optimization for energy, Advanced Materials and Manufacturing - UGC (India)
- DAAD (Germany) [1-3/2016 (IC)]
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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. (C) 2019 Elsevier Inc. All rights reserved.
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