In the present work, we consider a class of fractional delay differential equations of order ρ
with Atangana-Baleanu fractional derivatives in the Caputo sense. We convert our fractional …

The Atangana–Baleanu derivative and the Laguerre polynomial are used in this analysis to
define a new computational technique for solving fractional differential equations. To serve …

In this paper, we study the existence of numerical solution and stability of a chemostat model
under fractal fractional order derivative. First, we investigate the positivity and roundedness …

This paper is mainly concerned with introducing a new fractional derivative operator with a
generalized exponential kernel. The benefit of the new definition over existing exponential …

We study the global asymptotic stability problem with respect to the fractional-order
quaternion-valued bidirectional associative memory neural network (FQVBAMNN) models in …

This study formulates a Monkeypox model with protected travelers. The fixed point theorem
is used to obtain the existence and uniqueness of the solution with Ulam–Hyers stability for …

In this manuscript, we formulated a new nonlinear SEIQR fractional order pandemic model
for the Corona virus disease (COVID-19) with Atangana-Baleanu derivative. Two main …

This paper aims to suggest a time-fractional SPEPIPAIPSPHPRP model of the COVID-19
pandemic disease in the sense of the Atangana–Baleanu–Caputo operator. The proposed …

In this research paper, we investigate the numerical solutions of the nonlinear complex
Layla and Majnun fractional mathematical model, which describes the emotional behavior of …

In this paper, the necessary and sufficient conditions are derived for the controllability of
Atangana-Baleanu-Caputo (ABC) neutral fractional differential equations (FDEs) with …