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

AZIZ EL GHAZOUANI; Fouad Ibrahim  Abdou Amir; M’HAMED ELOMARI; SAID MELLIANI

doi:10.5269/bspm.70822

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

HYBRID DIFFERENTIAL EQUATIONS BY NABLA CAPUTO FRACTIONAL OPERATOR

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

Résumé

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.