In this research, we aim to propose a new fractional model for human liver involving Caputo–
Fabrizio derivative with the exponential kernel. Concerning the new model, the existence of …

nCOV epidemic is one of the greatest threat that the mortality faced since the World War-2
and most decisive global health calamity of the century. In this manuscript, we study the …

The Schrödinger equation depends on the physical circumstance, which describes the state
function of a quantum‐mechanical system and gives a characterization of a system evolving …

The heat equation is parabolic partial differential equation and occurs in the characterization
of diffusion progress. In the present work, a new fractional operator based on the Rabotnov …

The evolution of spatial solitons in the photovoltaic photorefractive crystal can be governed
by the specific coupled nonlinear Schrödinger equations. Under the photovoltaic field with …

A new fractional derivative with a non-singular kernel involving exponential and
trigonometric functions is proposed in this paper. The suggested fractional operator includes …

In this paper, numerical solution of the mathematical model describing the deathly disease
in pregnant women with fractional order is investigated with the help of q-homotopy analysis …

A new strategy exploiting together the modified Riemann–Liouville fractional derivative rule
and two kinds of fractional dual-function methods with the Mittag–Leffler function is …

The pivotal aim of the present work is to find the numerical solution for fractional Benney–Lin
equation by using two efficient methods, called q‐homotopy analysis transform method and …

Physical applications involving time-fractional derivatives are reflecting some memory
characteristics. These inherited memories have been identified as a homotopy map** of …