Existence and stability results for nonlinear fractional delay differential equations

Boletim da Sociedade Paranaense de Matemática

Sagar T. Sutar¹  Kishor D. Kucche² 

[1] Raje Ramrao Mahavidyalaya;Shivaji University, Kolhapur-416 004, Maharashtra, India;

关键词: Fractional delay differential equation, Fixed point theorem, Existence and uniqueness, Successive approximation, Ulam--Hyers stability, $ \mathbb{E}_{\alpha}$--Ulam--Hyers stability.;   

DOI  :  10.5269/bspm.v36i4.33603

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown