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) …

This work proposes a qualitative study for the fractional second-grade fluid described by a
fractional operator. The classical Caputo fractional operator is used in the investigations …

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 …

This paper studies the analytical solutions of the fractional fluid models described by the
Caputo derivative. We combine the Fourier sine and the Laplace transforms. We analyze the …

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 …

In this research, a comparative study of modern differentiations based on singular versus
non-singular and local versus non-local kernels have been analyzed for Walter'sB liquid. In …

This manuscript predicts the change in temperature at a different epilimnion to the change in
temperature at a different hypolimnion. The fractional analysis on rotational second-grade …

It is worth noted that soft and hard inchromizing entirely depends upon high temperature on
materials. Due to this fact, thermal diffusion process can enhance the life expectancy of tools …

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 …

In this paper, we model an ecological system consisting of a predator and two preys with the
newly derived two-step fractional Adams-Bashforth method via the Atangana-Baleanu …