Applications Of Special Functions And Fractional Calculus In Statistics And Other Fields
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Applications of Special Functions and Fractional Calculus In Statistics and Other Fields
Author: Dr. Tripati Gupta
language: en
Publisher: Shineeks Publishers
Release Date: 2023-06-15
It is with great pleasure that I introduce the first edition of the book titled “Applications of Special Functions and Fractional Calculus in Statistics and Other Fields” to our esteemed readers. In today’s world of science and technology, mathematics plays a vital role in opening new horizons of intellectual exploration. This comprehensive book is divided into three chapters, providing readers with a deep understanding of the power and versatility of special functions. The concepts are presented in a clear and accessible manner, accompanied by practical examples that demonstrate their application. Whether you are a student, researcher, or practitioner in the fields of mathematics or engineering physics, this book serves as an indispensable resource for comprehending and utilizing special functions to address various problems. It equips readers with the essential tools to navigate the complexities of these functions and apply them effectively in their respective disciplines. With its rich content and practical approach, “Applications of Special Functions and Fractional Calculus in Statistics and Other Fields” promises to be an invaluable companion for those seeking a comprehensive understanding of special functions and their real-world implications.
Applications Of Fractional Calculus In Physics
Fractional calculus is a collection of relatively little-known mathematical results concerning generalizations of differentiation and integration to noninteger orders. While these results have been accumulated over centuries in various branches of mathematics, they have until recently found little appreciation or application in physics and other mathematically oriented sciences. This situation is beginning to change, and there are now a growing number of research areas in physics which employ fractional calculus.This volume provides an introduction to fractional calculus for physicists, and collects easily accessible review articles surveying those areas of physics in which applications of fractional calculus have recently become prominent.
General Fractional Derivatives
General Fractional Derivatives: Theory, Methods and Applications provides knowledge of the special functions with respect to another function, and the integro-differential operators where the integrals are of the convolution type and exist the singular, weakly singular and nonsingular kernels, which exhibit the fractional derivatives, fractional integrals, general fractional derivatives, and general fractional integrals of the constant and variable order without and with respect to another function due to the appearance of the power-law and complex herbivores to figure out the modern developments in theoretical and applied science. Features: Give some new results for fractional calculus of constant and variable orders. Discuss some new definitions for fractional calculus with respect to another function. Provide definitions for general fractional calculus of constant and variable orders. Report new results of general fractional calculus with respect to another function. Propose news special functions with respect to another function and their applications. Present new models for the anomalous relaxation and rheological behaviors. This book serves as a reference book and textbook for scientists and engineers in the fields of mathematics, physics, chemistry and engineering, senior undergraduate and graduate students. Dr. Xiao-Jun Yang is a full professor of Applied Mathematics and Mechanics, at China University of Mining and Technology, China. He is currently an editor of several scientific journals, such as Fractals, Applied Numerical Mathematics, Mathematical Modelling and Analysis, International Journal of Numerical Methods for Heat & Fluid Flow, and Thermal Science.