This book provides a concise overview of fractional calculus, emphasizing its distinct advantages over traditional calculus in modeling complex, memory-dependent systems. It delves into boundary value problems (BVPs) for nonlinear fractional differential equations with the p-Laplacian operator, employing fixed-point theorems to establish existence, uniqueness, and multiplicity of solutions. The study significantly advances the modeling of nonlinear systems
Chapter 1 : Preliminaries and background materials
Chapter 2 : Existence of Concave Positive Solutions for Nonlinear Fractional Differential Equation with p-Laplacian Operator
Chapter 3: Existence of positive solutions for p-Laplacian boundary value problems of fractional differential equations