Chaotic behaviour of fractional predator-prey dynamical system
In this endeavour, Bernstein wavelet and Euler methods are used to solve a nonlinear
fractional predator-prey biological model of two species. The theoretical results with their …
fractional predator-prey biological model of two species. The theoretical results with their …
On a fractional operator combining proportional and classical differintegrals
The Caputo fractional derivative has been one of the most useful operators for modelling
non-local behaviours by fractional differential equations. It is defined, for a differentiable …
non-local behaviours by fractional differential equations. It is defined, for a differentiable …
On fractional operators and their classifications
Fractional calculus dates its inception to a correspondence between Leibniz and L'Hopital in
1695, when Leibniz described “paradoxes” and predicted that “one day useful …
1695, when Leibniz described “paradoxes” and predicted that “one day useful …
Design of fractional hierarchical gradient descent algorithm for parameter estimation of nonlinear control autoregressive systems
The trend of develo** 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 …
Optimal control for cancer treatment mathematical model using Atangana–Baleanu–Caputo fractional derivative
In this work, optimal control for a fractional-order nonlinear mathematical model of cancer
treatment is presented. The suggested model is determined by a system of eighteen …
treatment is presented. The suggested model is determined by a system of eighteen …
Modelling of transmission dynamics of Nipah virus (Niv): a fractional order approach
This work contains a mathematical model able to portray the transmission of Nipah virus
within a targeted population. We argued that, the model with classical differential provide a …
within a targeted population. We argued that, the model with classical differential provide a …
A new fractional derivative operator with a generalized exponential kernel
Z Odibat - Nonlinear Dynamics, 2024 - Springer
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 …
generalized exponential kernel. The benefit of the new definition over existing exponential …
[HTML][HTML] Numerical solution of variable order fractional nonlinear quadratic integro-differential equations based on the sixth-kind Chebyshev collocation method
In this paper, a sixth-kind Chebyshev collocation method will be considered for solving a
class of variable order fractional nonlinear quadratic integro-differential equations (V …
class of variable order fractional nonlinear quadratic integro-differential equations (V …
The plethora of explicit solutions of the fractional KS equation through liquid–gas bubbles mix under the thermodynamic conditions via Atangana–Baleanu derivative …
Novel explicit wave solutions are constructed for the Kudryashov–Sinelshchikov (KS)
equation through liquid–gas bubbles mix under the thermodynamic conditions. A new …
equation through liquid–gas bubbles mix under the thermodynamic conditions. A new …
On tempered Hilfer fractional derivatives with respect to functions and the associated fractional differential equations
We investigate the Hilfer-type operator within the topic of tempered fractional calculus with
respect to functions. This operator, the tempered Ψ-Hilfer derivative, is defined for the first …
respect to functions. This operator, the tempered Ψ-Hilfer derivative, is defined for the first …