1st Edition
The Fundamentals of Fractional Calculus
1. An Outlook on Fractional Calculus via Generalized Functions and Integral Transforms of Pathway Type
Dilip Kumar
2. Laplace Transformation of Fractional Integrals and Derivatives
Min-Jie Luo and Ravinder Krishna Raina
3. Estimating the Order of Derivation in a Fractional Differential Equation
Silvia Seminara, María Inés Troparevsky, and Marcela Fabio
4. New Class of Integro-Differential Equations with Non-Singular Differential Operators
Seda Igret Araz and Abdon Atangana
5. Exact Solution of Fractional Equations
Mousa Ilie
6. Numerical Computation of Fractional Derivatives of Caputo Type
Bengt Fornberg, Cocile Piret, and Austin Higgins
7. Some Remarks on Caputo-Weighted Integrals and Applications
J. E. Nápoles-Valdes and B. Bayraktar
8. Periodicity Solutions of K-Symbol Fractional Differential Equations with Applications
Rabha W. Ibrahim
9. Gingerbread-Man Discrete System Formulated by the K-Symbol Fractional Calculus
Rabha W. Ibrahim
10. An Improved Numerical Algorithm for Solving Multi-Order Fractional Differential Equations
Zul Qar Ahamad Noor, Imran Talib, and Muhammad Bilal Riaz
11. Existence Results for Implicit FFDEs with Tempered Xi-HFD
R. Vivek, K. Kanagarajan, and D. Vivek
12. Computational Study of the Fractional Order of an Alcoholism Model
Yerra Shankar Rao, Binayak Dihudi, and Anasuya Nath
13. A Statistical-Oriented Application of the Erdélyi-Kober Fractional Integral in Epidemic Modeling Problems
Hemant Kumar
14. A Comprehensive Qualitative Examination of a Fractional-Order Model for Divorce Dynamics
Yasir Nadeem Anjam, Mehmet Yavuz, Amna Batool, and Mati Ur Rahman
15. A Numerical Study of the Jaulent-Miodek Model Using Homotopy Perturbation Transform Technique with the Caputo-Fabrizio Operator
Amit Prakash, Ajay Kumar, and Rahul
16. Fractional Kinetic Equation with Incomplete Wright Function
Dharmendra Kumar Singh
Biography
Dharmendra Kumar Singh, PhD, is an Assistant Professor of Mathematics in the School of Basic Sciences at the University Institute of Engineering & Technology (UIET), Chhatrapati Sahau Ji Maharaja University, Kanpur, India. With over 12 years of research and teaching experience in the field of fractional calculus, he focuses his research on special functions, fractional calculus, partial fractional differential equations, and distribution theory. Dr. Singh has published research papers and book chapters on fractional calculus and received a best publication award from The Society for Special Functions and Their Applications. He is a reviewer for many reputed international journals.
Mehmet Yavuz, PhD, is an Associate Professor in the Mathematics and Computer Sciences Department, Necmettin Erbakan University, Türkiye. He has published more than 85 research papers in reputed journals, 60 conference papers, book chapters, and the book Fractional Calculus: New Applications in Understanding Nonlinear Phenomena. He has received awards for his work. His research interests lie in biomathematics, infectious disease dynamics, population dynamics, stochastic analysis, calcium dynamics, fractional mathematical models, fractional mathematical theory and methods, bifurcation analysis, and dynamical control theory. Apart from being an associate editor for several esteemed journals, he is the Editor-in-Chief of the journal Mathematical Modelling and Numerical Simulation with Applications and the Bulletin of Biomathematics.v
