Computational study on the dynamics of fractional order differential equations with applications
In this research work, the analysis of general fractional order system is investigated under
Atangana, Baleanu and Caputo (ABC) fractional order derivative. Our study is related to …
Atangana, Baleanu and Caputo (ABC) fractional order derivative. Our study is related to …
Semi-analytical study of Pine Wilt Disease model with convex rate under Caputo–Febrizio fractional order derivative
In this paper, we present semi-analytical solution to Pine Wilt disease (PWD) model under
the Caputo–Fabrizio fractional derivative (CFFD). For the proposed solution, we utilize …
the Caputo–Fabrizio fractional derivative (CFFD). For the proposed solution, we utilize …
Qualitative analysis of a mathematical model in the time of COVID‐19
In this article, a qualitative analysis of the mathematical model of novel corona virus named
COVID‐19 under nonsingular derivative of fractional order is considered. The concerned …
COVID‐19 under nonsingular derivative of fractional order is considered. The concerned …
A fractional order Zika virus model with Mittag–Leffler kernel
Zika virus is one of the lethal virus which is a threat to humans health. It can be transmitted
from human to human, from mosquitos to human, from human to mosquitos. Since there is …
from human to human, from mosquitos to human, from human to mosquitos. Since there is …
[HTML][HTML] A comparative study of spreading of novel corona virus disease by ussing fractional order modified SEIR model
In this research work, a non-linear dynamical modified SEIR model of the recent pandemic,
due to Coronavirus-19 disease (COVID-19) for different countries like Malaysia and …
due to Coronavirus-19 disease (COVID-19) for different countries like Malaysia and …
[HTML][HTML] On fractional order model of tumor dynamics with drug interventions under nonlocal fractional derivative
In our research article, the mathematical model of fractional non-linear cancer dynamical
system with the interaction of tumor cells, immune, and drugs reaction systems is taken in …
system with the interaction of tumor cells, immune, and drugs reaction systems is taken in …
[HTML][HTML] Existence theory and numerical analysis of three species prey–predator model under Mittag-Leffler power law
In this manuscript, the fractional Atangana–Baleanu–Caputo model of prey and predator is
studied theoretically and numerically. The existence and Ulam–Hyers stability results are …
studied theoretically and numerically. The existence and Ulam–Hyers stability results are …
[HTML][HTML] Generalized fractal–fractional order problems under non-singular Mittag-Leffler kernel
M ur Rahman - Results in Physics, 2022 - Elsevier
This manuscript analyzed the general investigation of the fractal–fractional mathematical
problem under Atangana–Baleanu in the sense of Caputo (ABC) fractional operator having …
problem under Atangana–Baleanu in the sense of Caputo (ABC) fractional operator having …
New soliton solutions to the nonlinear complex fractional Schrödinger equation and the conformable time-fractional Klein–Gordon equation with quadratic and cubic …
MN Alam, X Li - Physica Scripta, 2020 - iopscience.iop.org
This paper applies the modified (G'/G)-expansion method on several nonlinear fractional
equations, the nonlinear complex fractional Schrödinger equation and the conformable time …
equations, the nonlinear complex fractional Schrödinger equation and the conformable time …
[HTML][HTML] On nonlinear dynamics of COVID-19 disease model corresponding to nonsingular fractional order derivative
This manuscript is devoted to investigate the mathematical model of fractional-order
dynamical system of the recent disease caused by Corona virus. The said disease is known …
dynamical system of the recent disease caused by Corona virus. The said disease is known …