Design of fractional hierarchical gradient descent algorithm for parameter estimation of nonlinear control autoregressive systems

NI Chaudhary, MAZ Raja, ZA Khan, A Mehmood… - Chaos, Solitons & …, 2022 - Elsevier
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 …

On F-contractions: A survey

N Fabiano, Z Kadelburg, N Mirkov… - Contemporary …, 2022 - ojs.wiserpub.com
D. Wardowski proved in 2012 a generalization of Banach Contraction Principle by
introducing F-contractions in metric spaces. In the next ten years, a great number of …

Hermite–Hadamard Type Inequalities Involving (kp) Fractional Operator for Various Types of Convex Functions

V Stojiljković, R Ramaswamy, F Alshammari… - Fractal and …, 2022 - mdpi.com
We establish various fractional convex inequalities of the Hermite–Hadamard type with
addition to many other inequalities. Various types of such inequalities are obtained, such as …

Mathematical modeling and analysis of tumor chemotherapy

G Song, G Liang, T Tian, X Zhang - Symmetry, 2022 - mdpi.com
Cancer diseases lead to the second-highest death rate all over the world. For treating
tumors, one of the most common schemes is chemotherapy, which can decrease the tumor …

Hermite Hadamard Type Inequalities Involving (kp) Fractional Operator with (α, h− m)− p convexity

V Stojiljkovic - European Journal of Pure and Applied Mathematics, 2023 - ejpam.com
We establish various fractional convex inequalities of the Hermite-Hadamard type which
generalize the previously obtained results in the literature. Various types of such inequalities …

[HTML][HTML] Remarks on fractal-fractional Malkus Waterwheel model with computational analysis

L Guran, EK Akgül, A Akgül, MF Bota - Symmetry, 2022 - mdpi.com
In this paper, we investigate the fractal-fractional Malkus Waterwheel model in detail. We
discuss the existence and uniqueness of a solution of the fractal-fractional model using the …

Generalized Z-number approximation for the fractional two-point iterative equation with a boundary condition

A Ahadi, R Saadati - Information Sciences, 2023 - Elsevier
To make better decisions on the best approximation of functional equations including
differential equations and integral equations, we may need to increase reliable and useful …

A New Extension of CJ Metric Spaces—Partially Controlled J Metric Spaces

S Subhi Aiadi, WA Mior Othman, KB Wong, N Mlaiki - Mathematics, 2023 - mdpi.com
This article introduces the concept of partially controlled J metric spaces; in particular, the J
metric space with self-distance is not necessarily zero, which is important in computer …

Homotopic parametric continuation method for determining stationary states of chemical reactors with dispersion

M Berezowski, M Lawnik - Symmetry, 2021 - mdpi.com
Physical processes occurring in devices with distributed variables and a turbulent tide with a
dispersion of mass and heat are often modeled using systems of nonlinear equations …

A Krasnoselskii–Ishikawa Iterative Algorithm for Monotone Reich Contractions in Partially Ordered Banach Spaces with an Application

N Hussain, SM Alsulami, H Alamri - Mathematics, 2021 - mdpi.com
Iterative algorithms have been utilized for the computation of approximate solutions of
stationary and evolutionary problems associated with differential equations. The aim of this …