Design of fractional hierarchical gradient descent algorithm for parameter estimation of nonlinear control autoregressive systems
The trend of developing fractional gradient based iterative adaptive strategies is evolved in
the recent years through effectively exploring the fractional and fractal dynamics. In this …
the recent years through effectively exploring the fractional and fractal dynamics. In this …
Time‐Fractional Klein–Gordon Equation with Solitary/Shock Waves Solutions
In this article, we study the time‐fractional nonlinear Klein–Gordon equation in Caputo–
Fabrizio's sense and Atangana–Baleanu–Caputo's sense. The modified double Laplace …
Fabrizio's sense and Atangana–Baleanu–Caputo's sense. The modified double Laplace …
[HTML][HTML] Analytical solitary wave solutions of a time-fractional thin-film ferroelectric material equation involving beta-derivative using modified auxiliary equation …
The main objective of current paper is to examine the impacts of fractional parameters on the
dynamic response of soliton waves in a nonlinear time-fractional thin-film ferroelectric …
dynamic response of soliton waves in a nonlinear time-fractional thin-film ferroelectric …
[PDF][PDF] A review on integral transforms of fractional integral and derivative
MA Hussein - International Academic Journal of Science and …, 2022 - researchgate.net
A Review on Integral Transforms of Fractional Integral and Derivative Page 1 52 DOI:10.9756/IAJSE/V9I2/IAJSE0914
Received:22 June 2022/Accepted:15 July 2022/Published:30 July 2022 International …
Received:22 June 2022/Accepted:15 July 2022/Published:30 July 2022 International …
Design of auxiliary model based normalized fractional gradient algorithm for nonlinear output-error systems
A new avenue of fractional calculus applications has emerged that investigates the design of
fractional gradient based novel iterative methods for analyzing fractals and nonlinear …
fractional gradient based novel iterative methods for analyzing fractals and nonlinear …
Fractional epidemic model of coronavirus disease with vaccination and crowding effects
Most of the countries in the world are affected by the coronavirus epidemic that put people in
danger, with many infected cases and deaths. The crowding factor plays a significant role in …
danger, with many infected cases and deaths. The crowding factor plays a significant role in …
[HTML][HTML] A new fractional-order chaotic system with its analysis, synchronization, and circuit realization for secure communication applications
This article presents a novel four-dimensional autonomous fractional-order chaotic system
(FOCS) with multi-nonlinearity terms. Several dynamics, such as the chaotic attractors …
(FOCS) with multi-nonlinearity terms. Several dynamics, such as the chaotic attractors …
Fractional rectified linear unit activation function and its variants
MS Job, PH Bhateja, M Gupta, K Bingi… - Mathematical …, 2022 - Wiley Online Library
This paper focuses on deriving and validating the fractional‐order form of rectified linear unit
activation function and its linear and nonlinear variants. The linear variants include the leaky …
activation function and its linear and nonlinear variants. The linear variants include the leaky …
Qualitative investigation of nonlinear fractional coupled pantograph impulsive differential equations
In this manuscript a qualitative analysis to a nonlinear coupled system of pantograph
impulsive fractional differential equations (PIFDEs) is established. By the use of Banach and …
impulsive fractional differential equations (PIFDEs) is established. By the use of Banach and …
Nonlinear system identification using fractional Hammerstein–Wiener models
K Hammar, T Djamah, M Bettayeb - Nonlinear Dynamics, 2019 - Springer
The paper deals with identification of fractional order nonlinear systems based on
Hammerstein–Wiener models. An output error approach is developed using the robust …
Hammerstein–Wiener models. An output error approach is developed using the robust …