Special Functions Of Fractional Calculus Applications To Diffusion And Random Search Processes

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Special Functions Of Fractional Calculus: Applications To Diffusion And Random Search Processes

This book aims to provide an overview of the special functions of fractional calculus and their applications in diffusion and random search processes. The book contains detailed calculations for various examples of anomalous diffusion, random search and stochastic resetting processes, which can be easily followed by the reader, who will be able to reproduce the obtained results. The book will be intended for advanced undergraduate and graduate students and researchers in physics, mathematics and other natural sciences due to the various examples which will be provided in the book.
Advances in Fractional Calculus

Author: J. Juan Rosales García
language: en
Publisher: Springer Nature
Release Date: 2025-06-02
This book offers a timely snapshot of research in fractional calculus. Based on peer-reviewed, selected contributions to the 6th Mexican Workshop on Fractional Calculus (MWFC), held on October 9-11, 2024 at the University of Guanajuato, in León, Guanajuato México, it offers extensive information on current trends. Chapters cover advances on fractional derivatives and integrals, and fractional differential equations, together with interdisciplinary applications of fractional calculus to real-world scenarios, chaotic and complex systems, and control.
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.