This work deals with the put option pricing problems based on the time‐fractional Black‐
Scholes equation, where the fractional derivative is a so‐called modified Riemann‐Liouville …

The fuzzy fractional differential equation explains more complex real-world phenomena than
the fractional differential equation does. Therefore, numerous techniques have been timely …

Simple Summary One of the most recognized phenomena is the cancer tumor which
uncontrollably grows in human cells and spreads over the other parts of the body. It spreads …

This paper deals with the study of heat transfer and thermal damage in triple layer skin
tissue using fractional bioheat model. Here, we consider three types of heating viz …

Ferroelectrics are complex structured media that exhibit fractal properties and memory
effects in terms of a number of dynamic characteristics. The most relevant applications of …

This study presents a modified memory-based mathematical model describing fluid flow in
porous media. For the first time such model is derived employing the Grünwald–Letnikov (G …

This paper deals with the study of fractional bioheat equation for hyperthermia treatment in
cancer therapy with external electromagnetic (EM) heating. Time fractional derivative is …

Fractional partial differential equations are a generalization of classical partial differential
equations which can, in certain circumstances, give a better description of certain …

Using an equivalent reformulation of the definition of the Caputo fractional derivative, we
present the stability and convergence analysis for a finite difference scheme that we use to …

The cancer tumor model serves asa crucial instrument for understanding the behavior of
different cancer tumors. Researchers have employed fractional differential equations to …