On existence and stability results for nonlinear fractional delay differential equations
DOI :
https://doi.org/10.5269/bspm.v36i4.33603Mots-clés :
Fractional delay differential equation, Fixed point theorem, Existence and uniqueness, Successive approximation, Ulam--Hyers stability, $ \mathbb{E}_{\alpha}$--Ulam--Hyers stability.Résumé
We establish existence and uniqueness results for fractional order delay differential equations. It is proved that successive approximation method can also be successfully applied to study Ulam--Hyers stability, generalized Ulam--Hyers stability, Ulam--Hyers--Rassias stability, generalized Ulam--Hyers--Rassias stability, $ \mathbb{E}_{\alpha}$--Ulam--Hyers stability and generalized $ \mathbb{E}_{\alpha}$--Ulam--Hyers stability of fractional order delay differential equations.Téléchargements
Publié
2018-10-01
Numéro
Rubrique
Research Articles
Licence
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).
