Caputo-Fabrizio type fractional differential equations with non-instantaneous impulses: Existence and stability results

Caputo-Fabrizio type fractional differential equations with non-instantaneous impulses: Existence and stability results

In the current article, we establish the existence and uniqueness of solutions to the initial value problem for nonlinear implicit fractional differential equations with non-instantaneous impulses, including the Caputo-Fabrizio fractional derivative. This derivative encapsulates non-local and memory...

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Bibliographic Details
Main Authors: Ahlem Benzahi, Nadjet Abada, Nouria Arar, Sahar Ahmed Idris, Mohammed S. Abdo, Wasfi Shatanawi
Format: Article
Language:English
Published: Elsevier 2024-01-01
Series:Alexandria Engineering Journal
Subjects:
Fractional differential equation
Caputo-Fabrizio type
Non-instantaneous impulse
KMN
Fixed point theorems
HU-stability
Online Access:http://www.sciencedirect.com/science/article/pii/S1110016823011286

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http://www.sciencedirect.com/science/article/pii/S1110016823011286

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