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 article, the considered problem of Cauchy reaction diffusion equation of fractional
order is solved by using integral transform of Laplace coupled with decomposition technique …

The present paper consider a newly introduced operator known as fractal-fractional where
the fractional operator considered is Caputo-Fabrizio. We consider a competition system …

The present analysis signifies the impacts of fraction calculus on the MHD analysis of an
incompressible fluid flow with entropy generation, viscous dissipation, and joule heating …

A computational approach based on finite difference scheme and a redefined extended B-
spline functions is presented to study the approximate solution of time fractional advection …

In this study, the new extended direct algebraic method (NEDAM) is successfully
implemented to acquire new exact wave solution sets for the symmetric regularized-long …

In this article, we deals with the existence and uniqueness of positive solutions of general
non-linear fractional differential equations (FDEs) having fractional derivative of different …

In this paper, the non-Fourier effects are examined in thin metal films exposed to
femtosecond laser pulses. For the first time, the time-fractional subdiffusion model is …

An accurate measurement of pulsatile flow is frequently encountered in exhaust and intake
manifolds of internal combustion and Stirling engines. Keeping this view, a mathematical …

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