Existence And Multiple Of Solutions For A Class Of P-laplacian Type Factional Coupled Boundary Value Problem

In this thesis,we study the existence and multiplicity of solutions the three-order pLaplacian multipoint coupled boundary value problem on the time scale,the p-Laplacian fractional coupled boundary value problem with impulse and the p-Laplacian Kirchhoff fractional Dirichlet coupled boundary value problem.Firstly,we discuss the existence and multiplicity of solutions for the coupled four-point BVP for there-order with p-Laplacian operator on time scales by fixed point theorem of cone expansion-compression type.Then,devoted to study the multiplicity of solutions for a class of p-Laplacicn type of fractional differential equations coupled boundary value problems with instantaneous and non instantaneous impulses depending on two parameters by using the critical points theorem,and it is proved that the weak solution of the impulsive problem is the classical solution.Finally,we get some sufficient conditions for solvability of the Kirchhoff-Type p-Laplacian Dirichlet coupled problem containing the Riemann-Liouville fractional derivative by using the mountain pass theorem and the genus properties in the critical point theory.