On existence and stability results for nonlinear fractional delay differential equations
Keywords:
Fractional delay differential equation, Fixed point theorem, Existence and uniqueness, Successive approximation, Ulam--Hyers stability, $ \mathbb{E}_{\alpha}$--Ulam--Hyers stability.
Abstract
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.Downloads
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Published
2018-10-01
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