Fractional Calculus and Fractional Differential Equations

• Corporate Author: SpringerLink (Online service)
• Other Authors: Daftardar-Gejji, Varsha (Editor, http://id.loc.gov/vocabulary/relators/edt)
• Format: Electronic eBook
• Language: English
• Published: Singapore : Springer Singapore : Imprint: Birkhäuser, 2019.
• Edition: 1st ed. 2019.
• Series: Trends in Mathematics,
• Subjects: Differential equations.; Partial differential equations.; Integral transforms.; Operational calculus.; Ordinary Differential Equations.; Partial Differential Equations.; Integral Transforms, Operational Calculus.

This book provides a broad overview of the latest developments in fractional calculus and fractional differential equations (FDEs) with an aim to motivate the readers to venture into these areas. It also presents original research describing the fractional operators of variable order, fractional-ord...

Table of Contents:

• Chapter 1. Numerics of Fractional Differential Equations
• Chapter 2. Adomian Decomposition Method and Fractional Poisson Processes: A Survey
• Chapter 3. On Mittag-Leffler Kernel Dependent Fractional Operators with Variable-Order
• Chapter 4. Analysis of 2-Term Fractional Order Delay Differential Equations
• Chapter 5. Stability Analysis of Two-Dimensional Incommensurate Systems of Fractional Order Differential Equations
• Chapter 6. Artificial Neural Network Approximation of Fractional-order Derivative Operators: Analysis and DSP Implementation
• Chapter 7. Theory of Fractional Differential Equations Using Inequalities and Comparison Theorems: A Survey
• Chapter 8. Exact Solutions of Fractional Partial Differential Equations by Sumudu Transform Iterative Method.