Study On Two Classes Of Hadamard Type Fractional Differential Equations With P-laplacian Operator

This thesis studies two classes of fractional differential equations with p-Laplacian operator.The thesis includes three chapters.In chapter one,we introduce the development of fractional differential equation,the main research contents of this paper,the definitions of Hadamard type fractional derivative,integrate and some basic lemmas.In chapter two,we investigate the existence of solutions for a nonlinear Hadamard type fractional differential equation with strip condition and p-Laplacian operator by using the Leray-Schauder fixed point theorem.In chapter three,we concern a Hadamard type fractional order turbulent flow model with deviating arguments.By using the fixed point theorems and the contraction mapping principle,the uniqueness,existence and nonexistence of solutions of the fractional turbulent flow model are investigated.