
Generalized Fractional Order Differential Equations Arising in Physical Models
CRC Press
1st Edition
Published on 20. November 2018
Book
Hardback
350 pages
978-1-138-36681-7 (ISBN)
Description
This book analyzes the various semi-analytical and analytical methods for finding approximate and exact solutions of fractional order partial differential equations. It explores approximate and exact solutions obtained by various analytical methods for fractional order partial differential equations arising in physical models.
More details
Language
English
Place of publication
London
United Kingdom
Publishing group
Taylor & Francis Ltd
Target group
College/higher education
Illustrations
165 s/w Abbildungen
165 Illustrations, black and white
Dimensions
Height: 254 mm
Width: 178 mm
Weight
792 gr
ISBN-13
978-1-138-36681-7 (9781138366817)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions

Santanu Saha Ray | Subhadarshan Sahoo
Generalized Fractional Order Differential Equations Arising in Physical Models
E-Book
11/2018
Chapman & Hall/CRC
€251.99
Available for download

Santanu Saha Ray | Subhadarshan Sahoo
Generalized Fractional Order Differential Equations Arising in Physical Models
E-Book
11/2018
1st Edition
Chapman & Hall/CRC
€251.99
Available for download
Persons
Dr. S. Saha Ray is currently a Professor at the Department of Mathematics, National Institute of Technology, Rourkela, India. Dr. Saha Ray completed his Ph.D. in 2008 from Jadavpur University, Kolkata, India. He received his M.C.A. degree in 2001 from Indian Institute of Engineering Science and Technology (IIEST), erstwhile Bengal Engineering College, Shibpur, India. He completed a master's degree in applied mathematics at the Calcutta University, Kolkata, India, in 1998 and a bachelor's (honors) degree in mathematics at St. Xavier's College(currently known as St. Xavier's University, Kolkata), Kolkata, India, in 1996. Dr. Saha Ray has about Seventeen years of teaching experience at the undergraduate and postgraduate levels in glorious Institutes like National Institute of Technology, Rourkela and two renowned private Engineering Institutes in Kolkata, West Bengal. He has also about Sixteen years of research experience in various fields of Applied Mathematics. He has published many peer reviewed research papers in numerous fields and various international SCI journals of repute, like Applied Mathematics and Computation, Communication in Nonlinear Science and Numerical Simulation, Nonlinear Dynamics, Transaction ASME Journal of Applied Mechanics, Journal of Computational and Nonlinear Dynamics, Computers and Mathematics with Applications, Journal of Computational and Applied Mathematics, Mathematical Methods in the Applied Sciences, Computers & Fluids, Physica Scripta, Communications in Theoretical Physics, Nuclear Engineering and Design, International Journal of Nonlinear Science and Numerical Simulation, Annals of Nuclear Energy, and Journal of Mathematical Chemistry, etc. For a detail citation overview, the reader may be referred to Scopus. To date, he has more than 149 research papers published in journals of international repute, including more than 119 SCI journal papers.
Dr. S. Sahoo is currently an Assistant Professor in the Department of Mathematics, Kalinga Institute of Industrial Technology (KIIT), Bhubaneswar, India. He has done Ph. D. under the supervision of Prof. S. Saha Ray in department of Mathematics of National Institute of Technology Rourkela, Odisha, India. He has been working on the BRNS research project entitled "Application of analytical methods for the solutions of generalized fractional and continuous order differential equations with the implementation in computer simulation" funded by the BRNS, BARC, Department of Atomic Energy (DAE), Govt. of India, under the supervision of Prof. S. Saha Ray who was the Principal Investigator of the aforesaid BRNS Project. Also, he has awarded senior research fellowship (SRF) funded by CSIR. Furthermore, he has pursued M.Sc. in applied mathematics from National Institute of Technology Rourkela, Odisha, India and B.Sc. from Government Autonomous College, Rourkela, Odisha, India. His current research interest includes the analytical methods for the solution of Partial and fractional differential equations.
Dr. S. Sahoo is currently an Assistant Professor in the Department of Mathematics, Kalinga Institute of Industrial Technology (KIIT), Bhubaneswar, India. He has done Ph. D. under the supervision of Prof. S. Saha Ray in department of Mathematics of National Institute of Technology Rourkela, Odisha, India. He has been working on the BRNS research project entitled "Application of analytical methods for the solutions of generalized fractional and continuous order differential equations with the implementation in computer simulation" funded by the BRNS, BARC, Department of Atomic Energy (DAE), Govt. of India, under the supervision of Prof. S. Saha Ray who was the Principal Investigator of the aforesaid BRNS Project. Also, he has awarded senior research fellowship (SRF) funded by CSIR. Furthermore, he has pursued M.Sc. in applied mathematics from National Institute of Technology Rourkela, Odisha, India and B.Sc. from Government Autonomous College, Rourkela, Odisha, India. His current research interest includes the analytical methods for the solution of Partial and fractional differential equations.
Content
List of Figures
List of Tables
List of Figures
List of Tables
Preface
Acknowledgments
Authors
1. Introduction and Preliminaries of Fractional Calculus
2. Overview of Numerous Analytical Methods
3. New Analytical Approximate Solutions of Fractional Differential Equations
4. New Analytical Approximate Solutions of Riesz Fractional Differential
Equations
5. New Exact Solutions of Fractional Differential Equations by Fractional Sub-Equation and Improved Fractional Sub-Equation Method
6. New Exact Solutions of Fractional Differential Equations by (G'/G)-Expansion Method and Improved (G'/G)-Expansion Method
7. New Exact Solutions of Fractional Differential Equations by Proposed Tanh and Modified Kudryashov Methods
8. New Exact Solutions of Fractional Differential Equations by Proposed Novel Method
9. New Exact Solutions of Fractional Coupled Differential Equations by Jacobi Elliptic Function Method
10. Formulation and Solutions of Fractional Continuously Variable-Order Mass-Spring Damper Systems
References
Index
List of Tables
List of Figures
List of Tables
Preface
Acknowledgments
Authors
1. Introduction and Preliminaries of Fractional Calculus
2. Overview of Numerous Analytical Methods
3. New Analytical Approximate Solutions of Fractional Differential Equations
4. New Analytical Approximate Solutions of Riesz Fractional Differential
Equations
5. New Exact Solutions of Fractional Differential Equations by Fractional Sub-Equation and Improved Fractional Sub-Equation Method
6. New Exact Solutions of Fractional Differential Equations by (G'/G)-Expansion Method and Improved (G'/G)-Expansion Method
7. New Exact Solutions of Fractional Differential Equations by Proposed Tanh and Modified Kudryashov Methods
8. New Exact Solutions of Fractional Differential Equations by Proposed Novel Method
9. New Exact Solutions of Fractional Coupled Differential Equations by Jacobi Elliptic Function Method
10. Formulation and Solutions of Fractional Continuously Variable-Order Mass-Spring Damper Systems
References
Index