Devaney Chaos of a Proportional Caputo Derivative

Authors

  • El-Mahdi Nafia Laboratory of Applied Mathematics and Scientific Computing, Sultan Moulay Slimane University, PO Box 532, Beni Mellal 23000, Morocco
  • Hasnaa Alatoune Laboratory of Applied Mathematics and Scientific Computing, Sultan Moulay Slimane University, PO Box 532, Beni Mellal 23000, Morocco
  • M'Hamed El Omari Laboratory of Applied Mathematics and Scientific Computing, Sultan Moulay Slimane University, PO Box 532, Beni Mellal 23000, Morocco

DOI:

https://doi.org/10.56947/amcs.v36.940

Keywords:

Caputo fractional derivative, proportional derivative, Devaney chaos, Mittag–Leffler function, Köthe sequence space and eigenvector field

Abstract

In this article, we analyze the dynamical behaviour of a proportional Caputo-type complex fractional derivative. We prove, by using the Bayart–Grivaux eigenvector-field theorem, that this operator is Devaney chaotic in a suitable weighted Mittag–Leffler–Caputo space.

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Published

2026-09-20

Issue

Vol. 36 (2026)

Section

Mathematics

License

Copyright (c) 2026 Annals of Mathematics and Computer Science

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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