in this manuscript a new method is introduced for solving fractional differential equations. the fractional derivative is described in the caputo sense. the main idea is to use fractional-order legendre wavelets and operational matrix of fractional-order integration. first the fractional-order legendre wavelets (flws) are presented. then a family of piecewise functions is proposed, based on whi...

[1] Analysis of Martian gravity and topography implies that crustal thickness variations created in the earliest evolution of planet have persisted to the present day. Relaxation of crustal thickness variations due to lower crustal flow by thermally activated creep is strongly temperature-dependent and so, for particular crustal rheology and thickness, provides a constraint on thermal evolution...

This article presents a variable-order derivative (VOD) time fractional model for describing heat transfer in the rotor or stator non-contacting mechanical face seals. Most theoretical studies so far have been based on classical equation of transfer. Recently, constant-order (COD) models also used. The VOD considered here is able to provide adequate information phenomena occurring seals, especi...