Description
Book SynopsisBasic Theory of Fractional Differential Equations is a contemporary collection of 16 articles that explores modern methods and applications of FDEs. It covers the extended Jacobi elliptic function expansion method, numerical approximation techniques like -step continuous BDFs for FIVPs, stability theories, and various fractional derivatives. The book finds applications in diverse fields, making it a valuable tool for solving real-world problems in physics, engineering, finance, and biology.
Table of Contents
- Chapter 1 Introduction
- Chapter 2 Exact Solutions for Some Fractional Differential Equations
- Chapter 3 Compact and Noncompact Solutions to Generalized Sturm–Liouville and Langevin Equation with Caputo–Hadamard Fractional Derivative
- Chapter 4 Solution of Fractional Partial Differential Equations Using Fractional Power Series Method
- Chapter 5 Novel Stability Results for Caputo Fractional Differential Equations
- Chapter 6 Block Backward Differentiation Formulas for Fractional Differential Equations
- Chapter 7 Nonlinear Fractional Differential Equations with Nonlocal Fractional Integro-Differential Boundary Conditions
- Chapter 8 A New Fractional Jacobi Elliptic Equation Method for Solving Fractional Partial Differential Equations
- Chapter 9 Existence of Solutions for Nonlinear Singular Fractional Differential Equations with Fractional Derivative Condition
- Chapter 10 On the Nonlinear Fractional Differential Equations with Caputo Sequential Fractional Derivative
- Chapter 11 On Fractional Order Hybrid Differential Equations
- Chapter 12 Fuzzy Conformable Fractional Differential Equations
- Chapter 13 On Hilfer-Type Fractional Impulsive Differential Equations
- Chapter 14 The Numerical Investigation of Fractional-Order Zakharov–Kuznetsov Equations
- Chapter 15 Stability of Fractional Differential Equations with New Generalized Hattaf Fractional Derivative
- Chapter 16 Asymptotic Stability of Distributed-Order Nonlinear Time-Varying Systems with the Prabhakar Fractional Derivatives
- Chapter 17 Stability of a Nonlinear Fractional Langevin System with Nonsingular Exponential Kernel and Delay Control
