This study investigates the fractional coupled viscous Burgers' equation under the Liouville–
Caputo, Atangana–Baleanu and Yang–Srivastava–Machado fractional derivatives. With the …

In this paper, schistosomiasis fractional order dynamic model is examined via exponential
law kernel sense and Mittag-Leffler kernel in Liouville–Caputo sense. Some special …

Mathematical modeling of infectious diseases has shown that combinations of isolation,
quarantine, vaccine, and treatment are often necessary in order to eliminate most infectious …

In this work, we investigate a series of mathematical aspects for the fractional diffusion
equation with stochastic resetting. The stochastic resetting process in Evans–Majumdar …

Study of fuzzy fractional order diffusion problem under the Mittag-Leffler Kernel Law -
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In this communication we have studied well known physical process of two-dimensional
advection–diffusion phenomena. The advection–diffusion equation is time-fractionalized by …

Two-dimensional advection–diffusion processes with memory and a source concentrated in
the symmetry center of the domain have been investigated. The differential equation of the …

The study aims to obtain new approximate analytical solutions for the fractional order
nonlinear Foam Drainage equation through a novel modification of the well-known Optimal …

In this paper, time-fractional advection-diffusion problem in terms of a new fractional
derivative operator involving the normalized sinc function (NSF) is considered. This …

The analytical study of one‐dimensional generalized fractional advection‐diffusion equation
with a time‐dependent concentration source on the boundary is carried out. The …