Global Mittag-Leffler stability analysis of impulsive fractional-order complex-valued BAM neural networks with time varying delays

MS Ali, G Narayanan, V Shekher, A Alsaedi… - … in Nonlinear Science …, 2020 - Elsevier
This paper investigates the stability of impulsive fractional-order complex-valued BAM
neural networks with time varying delays. As the extension of fractional-order real-valued …

Terahertz spectroscopic study of optical and dielectric properties of typical electrical insulation materials

W Nsengiyumva, S Zhong, B Wang, L Zheng, Z Zhang… - Optical Materials, 2022 - Elsevier
Researchers and engineers are constantly developing novel techniques to accurately
measure the electromagnetic properties of electrical insulators. These properties provide …

Identification of fractional-order systems with both nonzero initial conditions and unknown time delays based on block pulse functions

MH Sin, C Sin, S Ji, SY Kim, YH Kang - Mechanical Systems and Signal …, 2022 - Elsevier
In this paper, we present an effective method for the identification of fractional order system
(FOS) with both nonzero initial conditions and unknown time delays based on a construction …

Parameter identification of fractional order systems with nonzero initial conditions based on block pulse functions

Y Lu, Y Tang, X Zhang, S Wang - Measurement, 2020 - Elsevier
Ignoring the initial conditions in the identification of fractional order systems (FOS) usually
results in incorrect parameter estimations. In this paper, we present a method for the online …

Philos-type oscillation criteria for impulsive fractional differential equations

L Feng, Y Sun, Z Han - Journal of applied Mathematics and Computing, 2020 - Springer
In this paper, we study the oscillation of the impulsive Riemann–Liouville fractional
differential equation,\k= 0, 1, 2 ...,\1 d D_ t_ k^+^ α x (t_k^+)-D_ t_ k-1^+^ α x (t_k^-) d+ ∫ _ t …

Parameter identification of fractional-order systems with time delays based on a hybrid of orthonormal Bernoulli polynomials and block pulse functions

MH Sin, C Sin, HY Kim, YM An, KS Zhang - Nonlinear Dynamics, 2024 - Springer
In this paper, we present effective and efficient identification methods with a higher accuracy
for fractional order system (FOS) with time delays and nonzero initial condition. We construct …

Dynamical analysis of a discrete conformable fractional order bacteria population model in a microcosm

G Kaya, S Kartal, F Gurcan - Physica A: Statistical Mechanics and Its …, 2020 - Elsevier
In this paper, conformable fractional order differential equations with piecewise constant
arguments are used for a modeling population density of a bacteria species in a microcosm …

Newton's law of cooling with Caputo derivative: Consistent dimensionality to compare with experiments

FA Godínez, JJ Rosales, MF Esparza-Posadas - Fractals, 2022 - World Scientific
The dimensional homogeneity of different non-integer order versions of Newton's law of
cooling was studied. The Caputo derivative was considered for the analysis, as well as an …

[PDF][PDF] Oscillation behavior of solution of impulsive fractional differential equation

LM Feng, ZL Han - Journal of Applied analysis and Computation, 2020 - jaac-online.com
In this paper, we study the oscillation of impulsive Caputo fractional differential equation.
Sufficient conditions for the asymptotic and oscillation of the equation are obtained by using …

Newtonian gravity and MOND: a fractional Fourier approach

S Borjon-Espejel, JE Escalante-Martinez… - Indian Journal of …, 2022 - Springer
In this work, it is shown that the accelerations corresponding to Newton's law of gravity and
MOND dynamics can both be derived from a non-local potential by using a fractional Fourier …