Existence analysis on multi-derivative nonlinear fractional neutral impulsive integro-differential equations

This article utilizes the Atangana–Baleanu (AB) fractional derivative to examine the behavior of multi-derivative fractional neutral impulsive integro-differential equations under non-local conditions. To demonstrate the existence, uniqueness, and controllability of the solutions, we utilize fixed p...

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Bibliographic Details

Published in:	Partial Differential Equations in Applied Mathematics
Main Authors:	Kottakkaran Sooppy Nisar, Muhannad Ibrahim Al-Shartab, Fahad Sameer Alshammari
Format:	Article
Language:	English
Published:	Elsevier 2024-09-01
Subjects:	Fractional calculus Gronwall–Bellman inequality Fixed point theory Controllability Atangana–Baleanu derivative
Online Access:	http://www.sciencedirect.com/science/article/pii/S2666818124002250