[PDF][PDF] Investigating the revisited generalized stochastic potential-KdV equation: fractional time-derivative against proportional time-delay

M Alquran - Rom. J. Phys., 2023 - researchgate.net
In this study, we revisit the stochastic potential-KdV equation by considering the time-
derivative of Caputo-type and the time-coordinate to be affected by proportional delay. We …

Study of impulsive problems under Mittag-Leffler power law

MS Abdo, T Abdeljawad, K Shah, F Jarad - Heliyon, 2020 - cell.com
This article is fundamentally concerned with deriving the solution formula, existence, and
uniqueness of solutions of two types of Cauchy problems for impulsive fractional differential …

Solving time-space-fractional Cauchy problem with constant coefficients by finite-difference method

R Edwan, R Saadeh, S Hadid, M Al-Smadi… - Computational …, 2020 - Springer
In this chapter, we present the time-space-fractional Cauchy equation with constant
coefficients, the space and time-fractional derivative are described in the Riemann-Liouville …

[HTML][HTML] Mathematical analysis and numerical investigation of advection-reaction-diffusion computer virus model

N Shahid, MA Rehman, A Khalid, U Fatima, TS Shaikh… - Results in Physics, 2021 - Elsevier
In this article, a dynamical model with advection-diffusion, elucidating the transmission
process of disease infection type computer virus, is studied. Such kind of systems help to …

[HTML][HTML] Analysis and new simulations of fractional Noyes-Field model using Mittag-Leffler kernel

B Karaagac, KM Owolabi, E Pindza - Scientific African, 2022 - Elsevier
In this manuscript, the fractional-in-time NoyesField model for Belousov-Zhabotinsky
reaction transport is considered with a novel numerical technique, which was used to …

[HTML][HTML] Analytic solutions for a modified fractional three wave interaction equations with conformable derivative by unified method

AG Talafha, SM Alqaraleh, M Al-Smadi, S Hadid… - Alexandria Engineering …, 2020 - Elsevier
The present work implements the unified method to a class of fractional partial differential
systems corresponding to modified fractional three wave interaction equations (FTWIEs) …

A new formulation of finite difference and finite volume methods for solving a space fractional convection–diffusion model with fewer error estimates

R Edwan, S Al-Omari, M Al-Smadi, S Momani… - Advances in Difference …, 2021 - Springer
Convection and diffusion are two harmonious physical processes that transfer particles and
physical quantities. This paper deals with a new aspect of solving the convection–diffusion …

Simulations of fractional time-derivative against proportional time-delay for solving and investigating the generalized perturbed-KdV equation

M Alquran, M Ali, K Al-Khaled, G Grossman - Nonlinear Engineering, 2023 - degruyter.com
In this study, the Caputo-type fractional time-derivative is simulated by inserting a
proportional time-delay into the field function of the perturbed-KdV equation. Two effective …

A Modified Techniques of Fractional‐Order Cauchy‐Reaction Diffusion Equation via Shehu Transform

M Areshi, AM Zidan, R Shah… - Journal of Function …, 2021 - Wiley Online Library
In this article, the iterative transformation method and homotopy perturbation transformation
method are applied to calculate the solution of time‐fractional Cauchy‐reaction diffusion …

[PDF][PDF] Adaptation of residual power series approach for solving time-fractional nonlinear Kline-Gordon equations with conformable derivative

R Amryeen, FN Harun, M Al-Smadi, A Alias - Appl. Math, 2020 - academia.edu
In this paper, the time-fractional nonlinear Kline-Gordon equations are considered and
solved using the adaptive of residual power series method. The fractional derivative is …