[HTML][HTML] Fractional-order modelling and analysis of diabetes mellitus: Utilizing the Atangana-Baleanu Caputo (ABC) operator
This article aims to introduce and analyze a diabetes mellitus model of fractional order,
utilizing the ABC derivative. Diabetes mellitus is a prevalent and significant disease …
utilizing the ABC derivative. Diabetes mellitus is a prevalent and significant disease …
New aspects of fractional Biswas–Milovic model with Mittag-Leffler law
This article deals with a fractional extension of Biswas–Milovic (BM) model having Kerr and
parabolic law nonlinearities. The BM model plays a key role in describing the long-distance …
parabolic law nonlinearities. The BM model plays a key role in describing the long-distance …
Hermite‐Hadamard inequalities in fractional calculus defined using Mittag‐Leffler kernels
A Fernandez, P Mohammed - Mathematical Methods in the …, 2021 - Wiley Online Library
Hermite‐Hadamard inequalities in fractional calculus defined using Mittag‐Leffler kernels -
Fernandez - 2021 - Mathematical Methods in the Applied Sciences - Wiley Online Library Skip to …
Fernandez - 2021 - Mathematical Methods in the Applied Sciences - Wiley Online Library Skip to …
New fractional derivatives with non-singular kernel applied to the Burgers equation
In this paper, we extend the model of the Burgers (B) to the new model of time fractional
Burgers (TFB) based on Liouville-Caputo (LC), Caputo-Fabrizio (CF), and Mittag-Leffler (ML) …
Burgers (TFB) based on Liouville-Caputo (LC), Caputo-Fabrizio (CF), and Mittag-Leffler (ML) …
Numerical Investigation of the Time‐Fractional Whitham–Broer–Kaup Equation Involving without Singular Kernel Operators
This paper aims to implement an analytical method, known as the Laplace homotopy
perturbation transform technique, for the result of fractional‐order Whitham–Broer–Kaup …
perturbation transform technique, for the result of fractional‐order Whitham–Broer–Kaup …
Analysis of reaction–diffusion system via a new fractional derivative with non-singular kernel
KM Saad, JF Gómez-Aguilar - Physica A: Statistical Mechanics and its …, 2018 - Elsevier
In this paper, we obtain analytical solutions for the fractional cubic isothermal auto-catalytic
chemical system with Caputo–Fabrizio and Atangana–Baleanu fractional time derivatives in …
chemical system with Caputo–Fabrizio and Atangana–Baleanu fractional time derivatives in …
Fundamental solutions of anomalous diffusion equations with the decay exponential kernel
In the letter, we consider the anomalous diffusion equations involving the general
derivatives with the decay exponential kernel for the first time. With the use of the Laplace …
derivatives with the decay exponential kernel for the first time. With the use of the Laplace …
New fractional derivatives applied to the Korteweg–de Vries and Korteweg–de Vries–Burger's equations
In this paper, we extend the model of the Korteweg–de Vries (KDV) and Korteweg–de Vries–
Burger's (KDVB) to new model time fractional Korteweg–de Vries (TFKDV) and time …
Burger's (KDVB) to new model time fractional Korteweg–de Vries (TFKDV) and time …
A numerical approach for solving the fractional Fisher equation using Chebyshev spectral collocation method
In this paper, an efficient numerical method is introduced for solving the fractional (Caputo
sense) Fisher equation. This equation presents the problem of biological invasion and …
sense) Fisher equation. This equation presents the problem of biological invasion and …
A new fractional analysis on the polluted lakes system
In this paper, we use Atangana–Baleanu derivative which is defined with the Mittag–Leffler
function and has all the properties of a classical fractional derivative for solving the system of …
function and has all the properties of a classical fractional derivative for solving the system of …