EXISTENCE OF SOLUTIONS TO HYBRID DIFFERENTIAL EQUATIONS BY NABLA CAPUTO FRACTIONAL OPERATOR

HYBRID DIFFERENTIAL EQUATIONS BY NABLA CAPUTO FRACTIONAL OPERATOR

Autores

  • AZIZ EL GHAZOUANI Laboratory of Applied Mathematics and Scientific Computing, Sultan Moulay Slimane University, Beni Mellal, Morocco.
  • Fouad Ibrahim Abdou Amir Laboratory of Applied Mathematics and Scientific Computing, Sultan Moulay Slimane University, Beni Mellal, Morocco.
  • M’HAMED ELOMARI Laboratory of Applied Mathematics and Scientific Computing, Sultan Moulay Slimane University, Beni Mellal, Morocco. https://orcid.org/0000-0002-4256-1434
  • SAID MELLIANI Laboratory of Applied Mathematics and Scientific Computing, Sultan Moulay Slimane University, Beni Mellal, Morocco. https://orcid.org/0000-0002-5150-1185

DOI:

https://doi.org/10.5269/bspm.70822

Resumo

In this article, we demonstrate the existence of solutions to hybrid differential equations using
fractional Nabla-Caputo derivatives of order $ 0 < \nu < 1$. Numerous Lipschitz and Caratheodory
criteria are used to demonstrate existence. At last, as application, an illustrative example is given
to show the applicability of our theoretical results.

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Publicado

2025-12-05

Edição

v. 43 (2025)

Seção

Artigos

Licença

When the manuscript is accepted for publication, the authors agree automatically to transfer the copyright to the (SPM).

The journal utilize the Creative Common Attribution (CC-BY 4.0).

 

Como Citar

EL GHAZOUANI, A., Abdou Amir, F. I., ELOMARI, M., & MELLIANI, S. (2025). EXISTENCE OF SOLUTIONS TO HYBRID DIFFERENTIAL EQUATIONS BY NABLA CAPUTO FRACTIONAL OPERATOR: HYBRID DIFFERENTIAL EQUATIONS BY NABLA CAPUTO FRACTIONAL OPERATOR. Boletim Da Sociedade Paranaense De Matemática, 43, 1-11. https://doi.org/10.5269/bspm.70822
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