In this manuscript, the fractional dynamics of the two-mass spring system with two kinds of stiffness, namely linear and strongly nonlinear, are investigated. The corresponding fractional Euler-Lagrange equations of the ...

In this note, we shall consider recent advances and improvements on fixed point theory in the setting of partial metric spaces. We investigate the existence and uniqueness of several distinct type contractive mapping in ...

In this manuscript we demonstrate the possibilities of a new spectroscopy that has controllable errors and enables to decompose any smoothed strongly-correlated signal into a linear combination of the trigonometric functions. ...

In this manuscript, we investigated the Euler-Lagrange equations on Cantor sets within the local fractional operators. To illustrate the proposed method two examples are presented.

In the present article, an approach to find the exact solution of the fractional Fokker–Planck equation (FFPE) is presented. It is based on transforming it to a system of first-order partial differential equation via Hopf ...

In this article, we investigate the existence results, with multi-point and integral boundary conditions, for Caputo-Hadamard fractional diσerential equations (CHFDEs) and inclusions. To get the desired results, which are ...