In this paper,Lie symmetry analysis method is applied to one type of mathematical physics equations named the(2+1)-dimensional fractional Hirota-Maccari system.All Lie symmetries and the corresponding conserved vector...In this paper,Lie symmetry analysis method is applied to one type of mathematical physics equations named the(2+1)-dimensional fractional Hirota-Maccari system.All Lie symmetries and the corresponding conserved vectors for the system are obtained.The one-dimensional optimai system is utilized to reduce the aimed equations with Riemann-Liouville fractional derivative to the(1+1)-dimensional fractional partial differential equations with Erdelyi-Kober fractional derivative.展开更多
The existence, multiplicity and uniqueness of positive solutions of a third order two point boundary value problem are discussed with the help of two fixed point theorems in cones, respectively.
文摘In this paper,Lie symmetry analysis method is applied to one type of mathematical physics equations named the(2+1)-dimensional fractional Hirota-Maccari system.All Lie symmetries and the corresponding conserved vectors for the system are obtained.The one-dimensional optimai system is utilized to reduce the aimed equations with Riemann-Liouville fractional derivative to the(1+1)-dimensional fractional partial differential equations with Erdelyi-Kober fractional derivative.
文摘The existence, multiplicity and uniqueness of positive solutions of a third order two point boundary value problem are discussed with the help of two fixed point theorems in cones, respectively.
