Nonlinear fractional differential equations provide suitable models to describe real-world phenomena and many fractional derivatives are varying with time and space.The present study considers the advanced and broad s...Nonlinear fractional differential equations provide suitable models to describe real-world phenomena and many fractional derivatives are varying with time and space.The present study considers the advanced and broad spectrum of the nonlinear(NL)variable-order fractional differential equation(VO-FDE)in sense of VO Caputo fractional derivative(CFD)to describe the physical models.The VO-FDE transforms into an ordinary differential equation(ODE)and then solving by the modified(G/G)-expansion method.For ac-curacy,the space-time VO fractional Korteweg-de Vries(KdV)equation is solved by the proposed method and obtained some new types of periodic wave,singular,and Kink exact solutions.The newly obtained solutions confirmed that the proposed method is well-ordered and capable implement to find a class of NL-VO equations.The VO non-integer performance of the solutions is studied broadly by using 2D and 3D graphical representation.The results revealed that the NL VO-FDEs are highly active,functional and convenient in explaining the problems in scientific physics.展开更多
This paper presents the principle,properties,advantage and disadvantage,associated problems and trend of laser protection with VO 2 film for infrared detectors in the range of 3～5μm and 8～12μm regions and suggest...This paper presents the principle,properties,advantage and disadvantage,associated problems and trend of laser protection with VO 2 film for infrared detectors in the range of 3～5μm and 8～12μm regions and suggests VO 2 film is a potential protection material for infrared detectors.展开更多
The activity of VO in molten ternary CaO-SiO_2-VO Slag has been determined by chemical equilibrium method, using tin as the solvent metal. The relation between the activity and the content of VO, as well as the effect...The activity of VO in molten ternary CaO-SiO_2-VO Slag has been determined by chemical equilibrium method, using tin as the solvent metal. The relation between the activity and the content of VO, as well as the effect of slag basicity on activity of VO. are discussed.展开更多
文摘Nonlinear fractional differential equations provide suitable models to describe real-world phenomena and many fractional derivatives are varying with time and space.The present study considers the advanced and broad spectrum of the nonlinear(NL)variable-order fractional differential equation(VO-FDE)in sense of VO Caputo fractional derivative(CFD)to describe the physical models.The VO-FDE transforms into an ordinary differential equation(ODE)and then solving by the modified(G/G)-expansion method.For ac-curacy,the space-time VO fractional Korteweg-de Vries(KdV)equation is solved by the proposed method and obtained some new types of periodic wave,singular,and Kink exact solutions.The newly obtained solutions confirmed that the proposed method is well-ordered and capable implement to find a class of NL-VO equations.The VO non-integer performance of the solutions is studied broadly by using 2D and 3D graphical representation.The results revealed that the NL VO-FDEs are highly active,functional and convenient in explaining the problems in scientific physics.
文摘This paper presents the principle,properties,advantage and disadvantage,associated problems and trend of laser protection with VO 2 film for infrared detectors in the range of 3～5μm and 8～12μm regions and suggests VO 2 film is a potential protection material for infrared detectors.
文摘The activity of VO in molten ternary CaO-SiO_2-VO Slag has been determined by chemical equilibrium method, using tin as the solvent metal. The relation between the activity and the content of VO, as well as the effect of slag basicity on activity of VO. are discussed.
