Stability of Caputo fractional hyperbolic systems

Authors

  • Hassen Arfaoui Department of Mathematics, College of Science, Jouf University, Saudi Arabia

DOI:

https://doi.org/10.3842/umzh.v78i1-2.7937

Keywords:

Hyperbolic system, Caputo fractional derivative, Polynomial stability, Finite difference scheme

Abstract

UDC 517.95

We study the problems of well-posedness and stability  for fractional linear hyperbolic systems (FLHS) with the Caputo time-fractional derivative. First, the existence and uniqueness  are established for the global solution of the FLHS. Then we obtain some polynomial stability results for the FLHS in different Hilbert spaces. Finally, some numerical examples are presented to confirm the theoretical results.

References

The full version of this paper will be published in Ukrainian Mathematical Journal, Vol. 78, No. 1-2, 2026.

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Published

26.01.2026

Issue

Vol. 78 No. 1-2 (2026)

Section

Research articles

License

Copyright (c) 2026 Hassen Arfaoui

Creative Commons License

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

How to Cite

Arfaoui, Hassen. “Stability of Caputo Fractional Hyperbolic Systems”. Ukrains’kyi Matematychnyi Zhurnal, vol. 78, no. 1-2, Jan. 2026, p. 79, https://doi.org/10.3842/umzh.v78i1-2.7937.