Special Functions in Fractional Calculus and Engineering
- 300 pages
- English
- ePUB (mobile friendly)
- Available on iOS & Android
Special Functions in Fractional Calculus and Engineering
About this book
Special functions play a very important role in solving various families of ordinary and partial differential equations as well as their fractional-order analogs, which model real-life situations. Owing to the non-local nature and memory effect, fractional calculus is capable of modeling many situations which arise in engineering. This book includes a collection of related topics associated with such equations and their relevance and significance in engineering. Special Functions in Fractional Calculus and Engineering highlights the significance and applicability of special functions in solving fractional-order differential equations with engineering applications. This book focuses on the non-local nature and memory effect of fractional calculus in modeling relevant to engineering science and covers a variety of important and useful methods using special functions for solving various types of fractional-order models relevant to engineering science. This book goes on to illustrate the applicability and usefulness of special functions by justifying their numerous and widespread occurrences in the solution of fractional-order differential, integral, and integrodifferential equations.This book holds a wide variety of interconnected fundamental and advanced topics with interdisciplinary applications that combine applied mathematics and engineering sciences, which are useful to graduate students, Ph.D. scholars, researchers, and educators interested in special functions, fractional calculus, mathematical modeling, and engineering.
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Table of contents
- Cover
- Half Title
- Series Page
- Title Page
- Copyright Page
- Table of Contents
- Preface
- Editors
- Contributors
- Chapter 1 An Introductory Overview of Special Functions and Their Associated Operators of Fractional Calculus
- Chapter 2 Analytical Solutions for the Fluid Model Described by Fractional Derivative Operators Using Special Functions in Fractional Calculus
- Chapter 3 Special Functions and Exact Solutions for Fractional Diffusion Equations with Reaction Terms
- Chapter 4 Computable Solution of Fractional Kinetic Equations Associated with Incomplete ℵ-Functions and 𝕄-Series
- Chapter 5 Legendre Collocation Method for Generalized Fractional Advection Diffusion Equation
- Chapter 6 The Incomplete Generalized Mittag-Leffler Function and Fractional Calculus Operators
- Chapter 7 Numerical Solution of Fractional Order Diffusion Equation Using Fibonacci Neural Network
- Chapter 8 Analysis of a Class of Reaction-Diffusion Equation Using Spectral Scheme
- Chapter 9 New Fractional Calculus Results for the Families of Extended Hurwitz-Lerch Zeta Function
- Chapter 10 Compact Difference Schemes for Solving the Equation of Fractional Oscillator Motion with Viscoelastic Damping
- Chapter 11 Dynamics of the Dadras-Momeni System in the Frame of the Caputo-Fabrizio Fractional Derivative
- Chapter 12 A Fractional Order Model with Non-Singular Mittag-Leffler Kernel
- Index