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

By Vaibhav Mehandiratta, Mani Mehra, Günter Leugering. Journal of Mathematical Analysis and Applications, 2019

57 citations recorded by the source corpus.

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.

Subfields: Applied Mathematics, Geometry and Topology, Modeling and Simulation

View Paper: https://www.semanticscholar.org/paper/44fc276e69ef774efbb4f2cfbcce616281734d00

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In Applied Mathematics

1. Nitin Kumar
2. Mani Mehra

In Modeling and Simulation

1. Nitin Kumar
2. Mani Mehra

Citations in the corpus

• Legendre wavelet collocation method for fractional optimal control problems with fractional Bolza cost (2020, background): “1 The left Riemann–Liouville fractional integral of order α ≥ 0 of a function f is defined as follows [22,45]:”