Based on recent studies by Guy Jumarie [1] which defines probability density of fractional order and fractional moments by using fractional calculus (fractional derivatives and fractional integration), this study expands the concept of probability density of fractional order by defining the fractional probability measure, which leads to a fractional probability theory parallel to the classical ...

The major and trace element characteristics of the clinopyroxene from two generations dykes, dolerite olivine dykes Western Dharwar Craton were investigated by using electron microprobe LA–ICPMS. in show a compositional zoning with Mg# decreasing core to rim (85 51) Cr2O3 contents decrease towards rim. rare earth (REE) pattern shows lower concentrations REEs compared dolerites are devoid compos...

Samples of the Moon obtained from the Apollo and Luna missions, as well as from lunar meteorites found haphazardly on Earth, are a testament to the violent origin and early evolution of the Earth–Moon system. The prevailing paradigm for the origin of the Moon derived from these samples posits that a Mars-sized object collided with the proto-Earth about 4.5 billion years ago, placing in Earth or...

Large albitite bodies associated with explosive brecciation, fenite aureoles, intrusive carbonate rocks, olivine dolerites, and copper mineralization are described from the Dead Sea rift region in the south-eastern Sinai Peninsula. The main carbonate phases comprise breunnerite and dolomite with actinolite the main phase in the fenites. Field and isotopic evidence indicates that the intrusive c...

Glucose-l-phosphoric acid was first isolated from minced and washed frog muscle which had been incubated for 3 hour in phosphate buffer containing small amounts of adenylic acid (2). Under these conditions part of the glucose-l-phosphoric acid (l-ester) was converted to hexose-6-phosphoric acid (8ester), so that fractional crystallization of the brucine salts had to be resorted to as a means of...

Edwards (1942), in a broad chemical and mineralogical study of dolerites in Tasmania, found variations in composition within the sills and dykes examined. He attributed these chang>es to fractional crystallization and gravitative differentiation in the cooling magma of the sills, similar to that which is postulated to have occurred in the Skaergaard intrusion of East Greenland and the Palisade ...

in this paper an approximate analytical solution of the fractional zakharov-kuznetsov equations will be obtained with the help of the reduced differential transform method (rdtm). it is in-dicated that the solutions obtained by the rdtm are reliable and present an effective method for strongly nonlinear fractional partial differential equations.

The structure evolutions of Al83Ni10Ce5Si2, Al83Ni10Ce7, Al85Ni10Ce5, Al87Ni7Nd6 and Al87Ni5Co2Nd6 metallic glasses have been studied in detail. The studies establish a relation between the amount of medium range order (MRO) and crystallization mode. An increased amount of MRO suppresses the precipitation of primary fcc-Al and transforms the crystallization mode from a primary crystallization (...

approximating the solution of differential equations of fractional order is necessary because fractional differential equations have extensively been used in physics, chemistry as well as engineering fields. in this paper with central difference approximation and newton cots integration formula, we have found approximate solution for a class of boundary value problems of fractional order. three...

‎ in this paper, we investigate stability analysis of fractional differential systems equipped with the conformable fractional derivatives. some stability conditions of fractional differential systems are proposed by applying the fractional exponential function and the fractional laplace transform. moreover, we check the stability of conformable fractional lotka-volterra system with the multi-st...