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Handbook of Fractional Calculus for Engineering and Science



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ISBN 9781032047799
February 18, 2022 Forthcoming by Chapman and Hall/CRC
320 Pages 95 Color & 25 B/W Illustrations

 
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Book Description

Fractional calculus is used to model many real-life situations from science and engineering. The book includes different topics associated with such equations and their relevance and significance in various scientific areas of study and research. In this book readers will find several important and useful methods and techniques for solving various types of fractional-order models in science and engineering. The book should be useful for graduate students, PhD students, researchers and educators interested in mathematical modelling, physical sciences, engineering sciences, applied mathematical sciences, applied sciences, and so on.

This Handbook:

  • Provides reliable methods for solving fractional-order models in science and engineering.
  • Contains efficient numerical methods and algorithms for engineering-related equations.
  • Contains comparison of various methods for accuracy and validity.
  • Demonstrates the applicability of fractional calculus in science and engineering.
  • Examines qualitative as well as quantitative properties of solutions of various types of science- and engineering-related equations.

Readers will find this book to be useful and valuable in increasing and updating their knowledge in this field and will be it will be helpful for engineers, mathematicians, scientist and researchers working on various real-life problems.

Table of Contents

1.Demonstrates the applicability of fractional calculus in science and engineering
Temirkhan S. Aleroev, Asmaa M. Elsayed

2.Reliable methods for solving fractional models in science and engineering.
P. Veeresha, Lanre Akinyemi

3.Contains efficient numerical and analytical methods for engineering equations.
Ali Akgül, Nourhane Attia

4.Contains comparison of various methods for accuracy.
H. M. Srivastava, Khaled M. Saad, M. M. Khader, Harendra Singh

5.Examines qualitative as well as quantitative properties of solutions of various types of science and engineering equations.
Haci Mehmet Baskonus, Mine Senel, Ajay Kumar, Gulnur Yel, Bilgin Senel, Wei Gao

6.Memory effect.
Naresh M. Chadha, Santanu Raut, Kajal Mondal, Shruti Tomar

7.Non-local solution.
Ram K Pandey, Neelam Tiwari, Harendra Singh

8.Error analysis for numerical techniques.
Kamlesh Jangid, Sapna Meena, Sanjay Bhatter, S.D. Purohit

9.Convergence analysis for numerical techniques.
Kashif Ali Abro, Ambreen Siyal, Abdon Atangana

10.Stability analysis.
Ndolane Sene

11. Extractions of deeper properties of the Conformable Gross–Pitaevskii Equation via two powerful approaches
Haci Mehmet Baskonus, Gulnur Yel, Hasan Bulut, Fayık Değirmenci

12. On some new fractional integrals and derivatives results for the generalised Mathieu-Type and altering Mathieu-Type series
Rakesh K. Parmar, Arjun K. Rathie, S. D. Purohit

...
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Editor(s)

Biography

Dr. Harendra Singh is an Assistant Professor in the Department of Mathematics, Post-Graduate College, Ghazipur-233001, Uttar Pradesh, India. He holds a Ph.D. in Mathematics from Indian Institute of Technology (BHU), Varanasi, India. He has qualified GATE, JRF and NBHM in Mathematics. He is also awarded by post-doctoral fellowship (PDF) in Mathematics from National Institute of Science Education and Research (NISER) Bhubaneswar Odisha, India. His research is widely published. He edited, "Methods of Mathematical Modelling Fractional Differential Equations," published by CRC Press.

Dr. H. M. Srivastava is a Professor Emeritus, Department of Mathematics and Statistics, University of Victoria, British Columbia V8W 3R4, Canada. He holds a Ph.D. from Jai Narain Vyas University of Jodhpur in India. He has held numerous Visiting, Honorary and Chair Professorships at many universities and research institutes in different parts of the world. He is also actively associated with numerous international journals as an Professor Srivastava’s research interests include several areas of pure and applied mathematical sciences. He has published 36 books and more than 1350 peer-reviewed journal articles.

Dr. Juan J. Nieto is a Professor, University of Santiago de Compostela, ES-15782 Santiago de Compostela, Spain. Professor Nieto’s research interests include several areas of pure and applied mathematical sciences. He has published many books, monographs, and edited volumes, and more than 650 peer-reviewed international scientific research journal articles. Professor Nieto has held numerous Visiting and Honorary Professorships. He is also actively associated editorially with numerous journals.