An analysis for heat equations arises in diffusion process using new Yang‐Abdel‐Aty‐Cattani fractional operator
The heat equation is parabolic partial differential equation and occurs in the characterization
of diffusion progress. In the present work, a new fractional operator based on the Rabotnov …
of diffusion progress. In the present work, a new fractional operator based on the Rabotnov …
New illustrative applications of integral transforms to financial models with different fractional derivatives
We investigate a couple of different financial/economic models based on market equilibrium
and option pricing with three different fractional derivatives in this paper. We obtain the …
and option pricing with three different fractional derivatives in this paper. We obtain the …
[HTML][HTML] Jaya optimization algorithm for transient response and stability enhancement of a fractional-order PID based automatic voltage regulator system
Considering the higher flexibility in tuning process and finer control action of the fractional-
order proportional integral derivative (FOPID) controller over the conventional proportional …
order proportional integral derivative (FOPID) controller over the conventional proportional …
He's frequency formulation for fractal nonlinear oscillator arising in a microgravity space
KL Wang - Numerical Methods for Partial Differential Equations, 2021 - Wiley Online Library
At a microgravity condition, a spaceflight might be subject to a microgravity‐induced
vibration. There is no theory so far to study the effect of microgravity on the vibration …
vibration. There is no theory so far to study the effect of microgravity on the vibration …
Magnetohydrodynamic flow of Cu–Fe3O4/H2O hybrid nanofluid with effect of viscous dissipation: dual similarity solutions
This study shows multiple solutions, heat transfer characteristics, and stability analysis of the
magnetohydrodynamic (MHD) flow of hybrid nanofluid caused by the nonlinear …
magnetohydrodynamic (MHD) flow of hybrid nanofluid caused by the nonlinear …
New estimates considering the generalized proportional Hadamard fractional integral operators
In the article, we describe the Grüss type inequality, provide some related inequalities by
use of suitable fractional integral operators, address several variants by utilizing the …
use of suitable fractional integral operators, address several variants by utilizing the …
An analytic study on the approximate solution of a nonlinear time‐fractional Cauchy reaction–diffusion equation with the Mittag–Leffler law
The main aim of the current article is considering a nonlinear time‐fractional Cauchy
reaction–diffusion equation with the Mittag–Leffler law and deriving its approximate …
reaction–diffusion equation with the Mittag–Leffler law and deriving its approximate …
Abundant analytical and numerical solutions of the fractional microbiological densities model in bacteria cell as a result of diffusion mechanisms
In this paper, an analytical scheme [the generalized Sinh–Gordon equation method) with a
new fractional operator (ABR fractional operator] is employed to find novel computational …
new fractional operator (ABR fractional operator] is employed to find novel computational …
Fractional system of Korteweg-De Vries equations via Elzaki transform
In this article, a hybrid technique, called the Iteration transform method, has been
implemented to solve the fractional-order coupled Korteweg-de Vries (KdV) equation. In this …
implemented to solve the fractional-order coupled Korteweg-de Vries (KdV) equation. In this …
Unraveling pine wilt disease: Comparative study of stochastic and deterministic model using spectral method
The pinewood nematode, which causes a disease known as pine wilt, is a serious threat to
pine forests all over the world. In this paper, we analyze the dynamics of pine wilt disease …
pine forests all over the world. In this paper, we analyze the dynamics of pine wilt disease …