This paper reviews the recent research in the application of fractional calculus in the models
of linear viscoelasticity utilized in dynamic problems of mechanics of solids. The brief …

In this paper, newly proposed differential and integral operators called the fractal–fractional
derivatives and integrals have been used to predict chaotic behavior of some attractors from …

Abstract Recently, Atangana and Baleanu proposed a derivative with fractional order to
answer some outstanding questions that were posed by many researchers within the field of …

This research study is conducted with the aim of getting analysis based upon four different
types of frequently used models of ordinary differential equations related to the chickenpox …

In this study, a physical system called the blood ethanol concentration model has been
investigated in its fractional (non-integer) order version. The three most commonly used …

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

On fractional integro-differential inclusions via the extended fractional Caputo–Fabrizio
derivation | Boundary Value Problems Skip to main content SpringerLink Account Menu …

This manuscript deals with fractional differential equations including Caputo–Fabrizio
differential operator. The conditions for existence and uniqueness of solutions of fractional …

This chapter presents an attempt to collate existing data about fractional derivatives with non-
singular kernels conceived by Caputo and Fabrizio in 2015. The idea attracted immediately …

Starting from the Cattaneo constitutive relation with a Jeffrey's kernel the derivation of a
transient heat diffusion equation with relaxation term expressed through the Caputo-Fabrizio …