Existence, uniqueness and controllability results of nonlinear neutral implicit $ \mathcal{ABC} $ fractional integro-differential equations with delay and impulses

Existence, uniqueness and controllability results of nonlinear neutral implicit $ \mathcal{ABC} $ fractional integro-differential equations with delay and impulses

In this article, the necessary and sufficient conditions for the existence and uniqueness of the mild solutions for nonlinear neutral implicit integro-differential equations of non-integer order $ 0 < \alpha < 1 $ in the sense of $ \mathcal{ABC} $ derivative with impulses, delay, and integro i...

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Bibliographic Details
Main Authors: Sivaranjani Ramasamy, Thangavelu Senthilprabu, Kulandhaivel Karthikeyan, Palanisamy Geetha, Saowaluck Chasreechai, Thanin Sitthiwirattham
Format: Article
Language:English
Published: AIMS Press 2025-02-01
Series:AIMS Mathematics
Subjects:
fractional derivative
implicit neutral differential equations
controllability
semi-group and fixed point theories
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2025200
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https://www.aimspress.com/article/doi/10.3934/math.2025200

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