Special Functions in Fractional Calculus and Engineering

特殊函數在解決各類普通和偏微分方程及其分數階類比中扮演著非常重要的角色，這些方程模型化了現實生活中的情況。本書包含了一系列與這些方程相關的主題，以及它們在工程中的相關性和重要性。

Dr. Harendra Singh is an Assistant Professor at the Department of Mathematics, Post-Graduate College, Ghazipur-233001, Uttar Pradesh, India, and has been listed in the top 2% scientists list published by Stanford University. He primarily teaches subjects such as real and complex analysis, functional analysis, abstract algebra, and measure theory in post-graduate level courses in mathematics. Dr. Singh has published 50 research papers in various journals of repute and has published three books from Taylor and Francis, one with Springer and one with Elsevier. He has attained a number of national and international conferences and presented several research papers. He is a reviewer of various journals, and his areas of interest are mathematical modeling, Fractional differential equations, integral equations, calculus of variations, and analytical and numerical methods.

Dr. H. M. Srivastava is a Professor Emeritus, Department of Mathematics and Statistics, University of Victoria, British Columbia V8W 3R4, Canada. He earned his Ph.D. degree in 1965 while he was a full-time member of the teaching faculty at the Jai Narain Vyas University of Jodhpur in India (since 1963). Professor Srivastava has held (and continues to hold) numerous Visiting, Honorary and Chair Professorships at many universities and research institutes in different parts of the world. Having received several D.Sc. degrees as well as honorary memberships and fellowships of many scientific academies and scientific societies around the world, he is also actively associated editorially with numerous international scientific research journals as an Honorary or Advisory Editor or as an Editorial Board Member. He has also edited many special issues of scientific research journals as the Lead or Joint Guest Editor. He has published 36 books, monographs, and edited volumes, 36 books (and encyclopedia) chapters, 48 papers in international conference proceedings, and more than 1350 peer-reviewed international scientific research journal articles, as well as Forewords and Prefaces to many books and journals. Dr. Srivastava's research interests include several areas of pure and applied mathematical sciences, such as real and complex analysis, fractional calculus and its applications, integral equations and transforms, higher transcendental functions and their applications, q-series and q-polynomials, analytic number theory, analytic and geometric inequalities, probability and statistics, and inventory modeling and optimization.

Dr. Rajesh Pandey is an Associate Professor in the Department of Mathematical Sciences, at the Indian Institute of Technology (BHU), Varanasi, India. He is the recipient of the Indo-US fellowship and INSA Visiting Fellowship for the year 2012. He had been a visiting faculty member at the Southern Illinois University, Carbondale Illinois, IL, during 2012-13, The University of Tokyo, Japan from Nov-Dec, 2010, Central South University China, and Shanghai University Shanghai, China in Dec. 2020. He has also worked as an Assistant Professor in Mathematics at BITS Pilani and the Indian Institute of Information Technology Design and Manufacturing Jabalpur from July 2009-May 2014. Dr. Pandey received his Ph.D. degree from the Department of Applied Mathematics, Institute of Technology (BHU), Varanasi, India in 2009 and has published 60 research papers in refereed journals and guided 8 Ph.D. students. He has been a member of management committees for academic institutions and also a member of the advisory committees in various national and international conferences. His current areas of research include fractional derivatives, image processing, and numerical methods for integral and integrodifferential equations.

哈倫德拉·辛格博士是印度北方邦加齊布爾市研究生學院數學系的助理教授，並被史丹佛大學列入前2%的科學家名單。他主要教授的課程包括實數與複數分析、泛函分析、抽象代數和測度論等數學研究生課程。辛格博士在多個知名期刊上發表了50篇研究論文，並出版了三本由泰勒與法朗西斯（Taylor and Francis）出版的書籍、一部由斯普林格（Springer）出版的書籍，以及一部由愛思唯爾（Elsevier）出版的書籍。他參加了多個國內外會議並發表了多篇研究論文。他是多個期刊的審稿人，研究興趣包括數學建模、分數微分方程、積分方程、變分法以及分析和數值方法。

H. M. 斯里瓦斯塔瓦博士是加拿大不列顛哥倫比亞省維多利亞大學數學與統計系的名譽教授。他於1965年獲得博士學位，當時是印度喬德布爾的賈伊·納賴因·維亞斯大學的全職教學成員（自1963年起）。斯里瓦斯塔瓦教授在世界各地的多所大學和研究機構擔任（並持續擔任）多個訪問、榮譽及講座教授職位。他獲得了多個D.Sc.學位，以及世界各地多個科學學會和科學社團的榮譽會員和研究員資格。他還以榮譽或顧問編輯的身份積極參與多個國際科學研究期刊的編輯工作，並作為主編或聯合客座編輯編輯了多個科學研究期刊的特刊。他已出版36本書籍、專著和編輯卷，36篇書籍（和百科全書）章節，48篇國際會議論文，以及超過1350篇經過同行評審的國際科學研究期刊文章，還有多本書籍和期刊的前言和序言。斯里瓦斯塔瓦博士的研究興趣包括純數學和應用數學科學的多個領域，如實數與複數分析、分數微積分及其應用、積分方程與變換、高等超越函數及其應用、q級數和q多項式、解析數論、解析與幾何不等式、概率與統計，以及庫存建模與優化。

拉傑什·潘德博士是印度瓦拉納西印度理工學院（BHU）數學科學系的副教授。他是2012年印美獎學金和印度國家科學院訪問獎學金的獲得者。他曾於2012至2013年在南伊利諾伊大學卡本代爾校區擔任訪問教員，並於2010年11月至12月在日本東京大學、2020年12月在中國中南大學和上海大學工作。他還曾於2009年7月至2014年5月在比特斯·皮拉尼（BITS Pilani）和印度信息技術設計與製造學院（IIITDM）賈巴爾普爾擔任數學助理教授。潘德博士於2009年在印度瓦拉納西的技術學院（BHU）應用數學系獲得博士學位，並在同行評審的期刊上發表了60篇研究論文，指導了8名博士生。他曾是學術機構管理委員會的成員，並在多個國內外會議中擔任顧問委員會成員。他目前的研究領域包括分數導數、影像處理，以及積分和積分微分方程的數值方法。