On existence and stability results for nonlinear fractional delay differential equations

Autores/as

  • Kishor D. Kucche Shivaji University, Kolhapur-416 004, Maharashtra, India
  • Sagar T. Sutar Raje Ramrao Mahavidyalaya

DOI:

https://doi.org/10.5269/bspm.v36i4.33603

Palabras clave:

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

Resumen

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.

Biografía del autor/a

  • Sagar T. Sutar, Raje Ramrao Mahavidyalaya
    Department of Mathematics

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Publicado

2018-10-01

Número

Sección

Research Articles