A study of fractional Lotka‐Volterra population model using Haar wavelet and Adams‐Bashforth‐Moulton methods
The Lotka‐Volterra (LV) system is an interesting mathematical model because of its
significant and wide applications in biological sciences and ecology. A fractional LV model …
significant and wide applications in biological sciences and ecology. A fractional LV model …
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 …
A new Rabotnov fractional‐exponential function‐based fractional derivative for diffusion equation under external force
This work suggested a new generalized fractional derivative which is producing different
kinds of singular and nonsingular fractional derivatives based on different types of kernels …
kinds of singular and nonsingular fractional derivatives based on different types of kernels …
Generalization of Caputo-Fabrizio fractional derivative and applications to electrical circuits
A new fractional derivative with a non-singular kernel involving exponential and
trigonometric functions is proposed in this paper. The suggested fractional operator includes …
trigonometric functions is proposed in this paper. The suggested fractional operator includes …
[HTML][HTML] A Caputo fractional order epidemic model for evaluating the effectiveness of high-risk quarantine and vaccination strategies on the spread of COVID-19
The recent global Coronavirus disease (COVID-19) threat to the human race requires
research on preventing its reemergence without affecting socio-economic factors. This study …
research on preventing its reemergence without affecting socio-economic factors. This study …
Numerical solution for generalized nonlinear fractional integro-differential equations with linear functional arguments using Chebyshev series
In the present work, a numerical technique for solving a general form of nonlinear fractional
order integro-differential equations (GNFIDEs) with linear functional arguments using …
order integro-differential equations (GNFIDEs) with linear functional arguments using …
[HTML][HTML] A numerical study of fractional order population dynamics model
In this research, the population dynamics model including the predator-prey problem and
the logistic equation are generalized by using fractional operator in term of Caputo-Fabrizio …
the logistic equation are generalized by using fractional operator in term of Caputo-Fabrizio …
[HTML][HTML] A fractional-order mathematical model for examining the spatiotemporal spread of COVID-19 in the presence of vaccine distribution
The spatiotemporal spread of COVID-19 has had a great impact on understanding and
addressing the global pandemic. Through analysis of the geographical distribution and …
addressing the global pandemic. Through analysis of the geographical distribution and …
[HTML][HTML] Analytical approach for time fractional wave equations in the sense of Yang-Abdel-Aty-Cattani via the homotopy perturbation transform method
Abstract Very recently, Yang, Abdel-Aty and Cattani (2019) introduced a new and intersting
fractional derivative operator with non-singular kernel involving Rabotnov fractional …
fractional derivative operator with non-singular kernel involving Rabotnov fractional …
A fractional model for population dynamics of two interacting species by using spectral and Hermite wavelets methods
Abstract The Lotka‐Volterra model is a very famous model and frequently used to describe
the dynamics of ecological systems in which two species interact, one a predator and one its …
the dynamics of ecological systems in which two species interact, one a predator and one its …