Modern Computational Methods for Fractional Differential Equations

by Hossein Jafari, Haleh Tajadodi, Yusif S. Gasimov

Overview

Modern Computational Methods for Fractional Differential Equations provides a comprehensive introduction to the fundamentals of fractional calculus. Covering a range of analytical and numerical methods specifically designed for fractional calculus problems, the book explains the step-by-step implementation and computational aspects of these methods. Readers of this book should feel empowered to effectively apply analytical and numerical techniques to solve fractional calculus problems.

Features

·       Practical examples and case studies

·       Suitable material for professional and postgraduate researchers

·       Numerous interesting and novel problems.

Product Details

ISBN-13:	9781032750439
Publisher:	CRC Press
Publication date:	04/23/2025
Pages:	172
Product dimensions:	7.00(w) x 10.00(h) x (d)

About the Author

Prof. Hossein Jafari is a Full Professor of Applied Mathematics. He completed his Ph.D. in Mathematics in Savitribai Phule Pune University, formerly the University of Pune, India, under the supervision of Prof. Varsha Daftardar-Gejji. His research interests include numerical analysis, Lie symmetry, integral transforms, bio-mathematics, artificial neural network and approximation theory. He gave a general integral transform for solving ODEs and integral equations. Since 2017, he has been on the list of the Essential Science Indicators (ESI) as a top researcher by Web of Science.

Dr. Haleh Tajadodi earned her Ph.D. from the University of Mazandaran, Iran, in 2014. She is an Associate Professor in the Department of Mathematics, University of Sistan and Baluchestan. Her research focused on fractional calculus. She studied numerical and analytical methods for solutions of fractional differential equations. Additionally, her research interests include spectral method and approximation theory.

Prof. Yusif S. Gasimov graduated from Baku State University in 1992. He earned his Ph.D. in Mathematical Analysis in 1997 and Doctor of Sciences in Numerical Methods in 2011. Y. S. Gasimov developed methods to study eigenvalue problems with variable domains and shape optimization problems. He proposed a mathematically constructive formula for the definition of the domain variation, which plays a decisive role in the investigation of shape optimization problems. He gave a formulation of the inverse spectral problem with respect to domain, introduced the concept of s-functions and proposed a method for solution of this problem by the given set of these functions. Yusif S. Gasimov also studied numerical and analytical methods for solutions of different types of direct and inverse equations and also fractional derivative equations.

Table of Contents

Preface

Author Bios

Contributors

Chapter 1 - Preliminaries

Chapter 2 - Decomposition Methods for Fractional Differential Equations

Chapter 3 - Variational Iteration Method for FDEs

Chapter 4 - Differential Transform Method for FDEs

Chapter 5 - Numerical Methods for Fractional Differential Equations

Chapter 6 - Operational Matrices

Chapter 7 - Wavelet Method for Fractional Differential Equations

Bibliography

Index