Variable-order fractional operators were conceived and mathematically formalized only in
recent years. The possibility of formulating evolutionary governing equations has led to the …

A new technique for modelling the fractional model of Casson fluid is used. More exactly, the
Caputo fractional model has been developed using the generalized Fick's and Fourier's …

In this work, we have derived an approximate solution of the fractional Black-Scholes
models using an iterative method. The fractional differentiation operator used in this paper is …

Motivated by the Hilfer and the Hilfer–Katugampola fractional derivative, we introduce in this
paper a new Hilfer generalized proportional fractional derivative, which unifies the Riemann …

In this research article, we establish a fractional-order mathematical model to explore the
infections of the coronavirus disease (COVID-19) caused by the novel SARS-CoV-2 virus …

This paper deals with constructing analytical solutions of electrical circuits RC and RLC of
non-integer order involving fractional time derivatives of type Liouville-Caputo, Caputo …

In this work, a new idea of Atangana-Baleanu fractional derivative has been applied to study
heat transfer due to free convection in non-Newtonian nanofluids over an infinite vertical …

In the modern era, solar energy has gained the consideration of researchers to a great deal.
Apparently, the reasons are twofold: firstly, the researchers are concerned to design new …

The stability conditions of the fractional differential equations described by the Caputo
generalized fractional derivative have been addressed. The generalized asymptotic stability …

In this paper, the approximate analytic solution of any order space-time fractional differential
equations is constructed by means of semi-analytical method, named as residual power …