Modern Computational Methods for Fractional Differential Equations
Chapman & Hall/CRC (Verlag)
978-1-032-75043-9 (ISBN)
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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.
Prof. H. Jafari is a full Professor of Applied Mathematics. He was born in 1975 in babol, Iran. He has completed his Ph.D. degree in Mathematics in Savitribai Phule Pune University, formerly the University of Pune, India under supervision of Prof. Varsha Daftardar- Gejji. His research interests are 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 to date, he is in the list of the Essential Science Indicators (ESI) as a top researcher by Web of Science. Dr. H. Tajadodi was born in 1984 in Iran. She received her Ph.D. degree from University of Mazandaran, Iran in 2014. H. Tajadodi is an associate Professor at 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 was born in 1968 in Azerbaijan. Graduated from Baku State University in 1992. He received his Ph.D. degree in Mathematical Analysis in 1997, and Doctor of Sciences degree in Numerical Methods in 2011. Y.S. Gasimov developed methods to study eigenvalue problems with variable domains, shape optimization problems and proposed a mathematically constructive formula for the definition of the domain variation, which plays a decisive role in investigation of the 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 solution of different types of direct and inverse equations, and also fractional derivative equations.
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
| Erscheint lt. Verlag | 1.4.2025 |
|---|---|
| Zusatzinfo | 20 Tables, black and white; 24 Line drawings, color; 20 Line drawings, black and white; 1 Halftones, color; 25 Illustrations, color; 20 Illustrations, black and white |
| Sprache | englisch |
| Maße | 178 x 254 mm |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
| ISBN-10 | 1-032-75043-X / 103275043X |
| ISBN-13 | 978-1-032-75043-9 / 9781032750439 |
| Zustand | Neuware |
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