Abstract: During the last few years, remarkable developments have been made in the theory of the fractional variational principles and their applications to control problems and fractional quantization ...

Abstract: The model of the movement of subsurface water via the geological formation called aquifer was extended using a newly proposed derivative with fractional order. An alternative derivative to that of Caputo-Fabrizio with ...

Abstract: During the last decades, there has been a great deal of interest in fractional differential equations and their applications in various fields of science and engineering. In this paper, we ...

Abstract: Fractional calculus should be applied to various dynamical systems in order to be validated in practice. On this line of taught, the fractional extension of the classical dynamics is introduced. ...