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Kora Hafiz Bete, On state-dependent delay, fractional order neutral integrodifferential systems with non-instantaneous impulses and nonlocal conditions: existence and controllability results, Eur. J. Math. Appl. 5 (2025), Article ID 1.

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Volume 5 (2025), Article ID 1

https://doi.org/10.28919/ejma.2025.5.1

Published: 06/01/2025

Abstract:

The current paper is concerned by the existence and controllability of mild solution for a new class of state-dependent delay, fractional order, neutral integrodifferential systems with non-instantaneaous impulses and nonlocal conditions. More precisely, using the α-resolvent operator theory, combinated with the theory of measures of noncompactness, we derive some conditions which guarantee the existence and the controllability of the mild solutions. One of the major innovations of this system is that the nonlinear term is a function of both the state function and the control function. We provide an example which shows the applicatibility of the results.

How to Cite:

Kora Hafiz Bete, On state-dependent delay, fractional order neutral integrodifferential systems with non-instantaneous impulses and nonlocal conditions: existence and controllability results, Eur. J. Math. Appl. 5 (2025), Article ID 1. https://doi.org/10.28919/ejma.2025.5.1