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 …

The hallmark of fractional-order derivatives is a memory kernel to describe real-world
phenomena with a better approximation than classical calculus. In fractional-order chaotic …

Mittag-Leffler Functions, Related Topics and Applications Page 1 Springer Monographs in
Mathematics Rudolf Gorenflo Anatoly A. Kilbas Francesco Mainardi Sergei Rogosin Mittag-Leffler …

We introduce a new generalized Caputo-type fractional derivative which generalizes Caputo
fractional derivative. Some characteristics were derived to display the new generalized …

Stochastic equations are powerful mathematical tools used to study systems having random
effects. The current manuscript studies the two distinct systems: the stochastic conformable …

It is known that the Laplace transform method is used to solve only a finite class of linear
differential equations. In this paper, we suggest a new method that relies on a new fractional …

In this paper, we present a Leibniz type rule for the ψ-Hilfer (ψ-H) fractional derivative
operator in two forms, one written in terms of the ψ-Riemann-Liouville (ψ-RL) fractional …

A novel fractional model based on the Riemann Liouville fractional derivative to simulate the
thermal performance of conventional solar still and show the effect of using hybrid nanofluid …

In this paper, a modified nonlinear Schrödinger equation with spatiotemporal dispersion is
formulated in the senses of Caputo fractional derivative and conformable derivative. A new …

We investigate through the ansatz and auxiliary equation methods novel types of solitary
wave solutions for (2+ 1)-D coupled nonlinear electrical transmission lattice with wave …