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Presents technologies and practices used in fractional calculus, providing detailed insight into recent developments in and latest research in the field of science, engineering, etc., using fractional calculus.
List of contents
1. An Outlook on Fractional Calculus via Generalized Functions and Integral Transforms of Pathway Type 2. Laplace Transformation of Fractional Integrals and Derivatives 3. Estimating the Order of Derivation in a Fractional Differential Equation 4. New Class of Integro-Differential Equations with Non-Singular Differential Operators 5. Exact Solution of Fractional Equations 6. Numerical Computation of Fractional Derivatives of Caputo Type 7. Some Remarks on Caputo-Weighted Integrals and Applications 8. Periodicity Solutions of K-Symbol Fractional Differential Equations with Applications 9. Gingerbread-Man Discrete System Formulated by the K-Symbol Fractional Calculus 10. An Improved Numerical Algorithm for Solving Multi-Order Fractional Differential Equations 11. Existence Results for Implicit FFDEs with Tempered Xi-HFD 12. Computational Study of the Fractional Order of an Alcoholism Model 13. A Statistical-Oriented Application of the Erdélyi-Kober Fractional Integral in Epidemic Model Problems 14. A Comprehensive Qualitative Examination of a Fractional-Order Model for Divorce Dynamics 15. A Numerical Study of the Jaulent-Miodek Model Using Homotopy Perturbation Transform Technique via the Caputo-Fabrizio Operator 16. Fractional Kinetic Equation with Incomplete Wright Function
About the author
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
