1st Edition
Handbook of Fractional Calculus for Engineering and Science
1. Analytical and Numerical Methods to Solve the Fractional Model of the Vibration Equation
Temirkhan S. Aleroev and Asmaa M. Elsayed
2. Analysis of a Nonlinear System Arising in a Helium-Burning Network with Mittag–Leffler Law
P. Veeresha and Lanre Akinyemi
3. Computational Study of Constant and Variable Coefficients Time-Fractional PDEs via Reproducing Kernel Hilbert Space Method
Ali Akgül and Nourhane Attia
4. Spectral Collocation Method Based Upon Special Functions for Fractional Partial Differential Equations
H. M. Srivastava, Khaled M. Saad, M. M. Khader, and Harendra Singh
5. On the Wave Properties of the Conformable Generalized Bogoyavlensky–Konopelchenko Equation
Haci Mehmet Baskonus, Mine Senel, Ajay Kumar, Gulnur Yel, Bilgin Senel, and Wei Gao
6. Analytical Solution of a Time-Fractional Damped Gardner Equation Arising from a Collisional Effect on Dust-ion-Acoustic Waves in a Dusty Plasma with Bi-Maxwellian Electrons
Naresh M. Chadha, Santanu Raut, Kajal Mondal, and Shruti Tomar
7. An Efficient Numerical Algorithm for Fractional Differential Equations
Ram K. Pandey, Neelam Tiwari, and Harendra Singh
8. Generalization of Fractional Kinetic Equations Containing Incomplete I-Functions
Kamlesh Jangid, Sapna Meena, Sanjay Bhatter, and S. D. Purohit
9. Behavior of Slip Effects on Oscillating Flows of Fractional Second-Grade Fluid
Kashif Ali Abro, Ambreen Siyal, and Abdon Atangana
10. A Novel Fractional-Order System Described by the Caputo Derivative, Its Numerical Discretization, and Qualitative Properties
Ndolane Sene
11. Extraction of Deeper Properties of the Conformable Gross–Pitaevskii Equation via Two Powerful Approaches
Haci Mehmet Baskonus, Gulnur Yel, Hasan Bulut, and Fayık Değirmenci
12. New Fractional Integrals and Derivatives Results for the Generalized Mathieu-Type and Alternating Mathieu-Type Series
Rakesh K. Parmar, Arjun K. Rathie, and S. D. Purohit
Index
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.
