Chapter 1: Preliminaries

The following sections are included:

• Introduction

• Some Notations, Concepts and Lemmas

• Fractional Calculus

  • Definitions

  • Properties

  • Mittag-Leffler Functions

• Some Results from Nonlinear Analysis

  • Laplace and Fourier Transforms

  • Sobolev Spaces

  • Measure of Noncompactness

  • Topological Degree

  • Picard Operator

  • Fixed Point Theorems

  • Critical Point Theorems

• Semigroups

  • C₀-Semigroup

  • Almost Sectorial Operators