Handbook of Fractional Calculus for Engineering and Science

The book includes contributions by top researchers offering topics associated with equations and their relevance and significance in various scientific areas of study and research. The readers will find several important and useful methods and techniques for solving various types of fractional-order models in engineering and science.

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 di-erent 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 scienti-c research journal articles. Professor Nieto has held numerous Visiting and Honorary Professorships. He is also actively associated editorially with numerous journals.

1. Analytical and Numerical Methods to Solve the Fractional Model of the Vibration Equation 2. Analysis of a Nonlinear System Arising in a Helium-Burning Network with Mittag-Leffler Law 3. Computational Study of Constant and Variable Coefficients Time-Fractional PDEs via Reproducing Kernel Hilbert Space Method 4. Spectral Collocation Method Based Upon Special Functions for Fractional Partial Differential Equations 5. On the Wave Properties of the Conformable Generalized Bogoyavlensky-Konopelchenko Equation 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 7. An Efficient Numerical Algorithm for Fractional Differential Equations 8. Generalization of Fractional Kinetic Equations Containing Incomplete I-Functions 9. Behavior of Slip Effects on Oscillating Flows of Fractional Second-Grade Fluid 10. A Novel Fractional-Order System Described by the Caputo Derivative, Its Numerical Discretization, and Qualitative Properties 11. Extraction of Deeper Properties of the Conformable Gross-Pitaevskii Equation via Two Powerful Approaches 12. New Fractional Integrals and Derivatives Results for the Generalized Mathieu-Type and Alternating Mathieu-Type Series