Quantum Calculus and Functional Analysis with Applications
暫譯: 量子微積分與函數分析及其應用

《量子微積分與泛函分析及其應用》呈現了關於量子微積分、泛函分析及其跨學科應用的先進研究。該書專注於解決量子傳輸、碳納米管、逼近理論、最佳控制模型和可再生自然資源等領域中的複雜挑戰，並提供這些專業領域的前沿發展。基於原創研究，該書對中性範數空間、概率範數空間、量子序列空間以及在泛函分析中應用的q-微積分等主題提供了新的見解，並為能源、環境科學和生物工程等多樣化領域的創新應用提供了支持。

本書：
- 討論量子微積分、分數微積分、泛函分析、電磁場的量子化、Caputo-Fabrizio分數微分方程、q-統計收斂及量子矩陣運算子
- 探索應用於量子泛函微積分、生物燃料、環境污染和最佳控制分析的量子微積分和分數微積分
- 突出數學方法在解決生物燃料生產和可再生自然資源挑戰中的作用，使其對這些領域的專業人士和研究人員具有高度相關性
- 涵蓋固定點理論的新研究，包括證明優越固定點存在性的方法及其在非線性方程中的應用
- 包含理論基礎和實際應用，提供一種平衡的方法，使複雜概念易於理解，同時保持對前沿發展的關注

本書適合應用數學的研究人員和學者，以及對量子微積分和泛函分析進展感興趣的讀者。

Bipan Hazarika is currently a Professor in the Department of Mathematics at Gauhati University, Guwahati, Assam, India. Before joining Gauhati University he worked as a Professor at Rajiv Gandhi University, Rono Hills, Doimukh, Arunachal Pradesh, India from 2005 to 2017. He received his PhD degree from the Institute of Advanced Study in Science and Technology at Gauhati University, Guwahati, India. His main research interests include the field of sequences spaces, summability theory, applications fixed point theory, fuzzy analysis, and function spaces of nonabsolute integrable functions. He has published over 200 research papers in several international journals. He is a regular reviewer of more than 50 different journals published by various reputed publishers. He has published books on Differential Equations, Differential Calculus, and Integral Calculus. He is an editorial board member of more than 5 International Journals and Guest Editor of specialthe issue "Sequence spaces, Function spaces and Approximation Theory", Journal of Function Spaces. He has edited a total of five books on different topics of mathematics.

Sanket Tikare is an Assistant Professor in the Department of Mathematics at Ramniranjan Jhunjhunwala College, which is an autonomous college affiliated with the University of Mumbai, Mumbai, Maharashtra, India. He completed his M.Sc. and Ph.D. in Mathematics, both from Shivaji University, Kolhapur, Maharashtra, India. He specialized in Applied Analysis. His research areas of interest include differential equations, difference equations, dynamic equations on time scales, impulsive systems, and equations with delays. He has published several research papers on areas related to the above areas in various journals of international repute. He has collaborated with several eminent researchers from various institutes, which include Missouri Science & Technology, Rolla, Missouri, USA, The University of New South Wales, Sydney, Australia, Texas A&M University-Kingsville, Texas, USA, Universidade Estadual Paulista, Ilha Solterira, Sao Paulo, Brazil, Sorbonne University, Paris, France, National Institute of Technology, Arunachal Pradesh, India, Gauhati University, Guwahati, Assam, India, COEP Technological University, Pune, Maharashtra, India, Manipal University, Jaipur, Rajasthan, India. Dr. Tikare authored four monographs: Stieltjes Differential Calculus and Applications, Set Dynamic Equations on Time Scales, Generalized Quantum Calculus with Applications, and Generalized Quantum Inequalities. He has also edited two edited volumes: Dynamic Equations on Time Scales and Applications, (CRC Press) and Summability, Fixed Point Theory, and Generalized Integrals with Applications (CRC Press). He is a life member of the India Mathematical Society, the International Society of Difference Equations, the Society for Special Functions and their Applications, and the Society for Industrial and Applied Mathematics. Dr. Tikare is a reviewer for many international journals. Moreover, he has written several reviews for Mathematical Reviews (AMS) and Zentralblatt Math (Germany).

Mehmet Dik is a Professor of Mathematics and Chair of the Mathematics, Computer Science, and Physics Department at Rockford University since 2013. His current areas of research and interest are summability theory, subsequential Tauberian theory, Tauberian theorems, undergraduate research, and college teaching. He has published more than 25 research papers. He is a member of the American Mathematical Society, the Turkish Mathematical Society, Sigma Xi the Scientific Research Society, the Mathematical Association of America, and the Northern Illinois Association of Teachers of Mathematics. He is an active reviewer of several renowned journals. Some of them are Journal of Mathematical Analysis and Applications, Linear Algebra and Its Applications, Journal of the Australian Mathematical Society, Aequationes Mathematicae, etc. He is also a reviewer of Zentralblatt fur Mathematik. He is also an editorial board member of several reputed journals of mathematics.

Dimplekumar Chalishajar is a Professor (Colonel-Virginia Militia) of Applied Mathematics at Virginia Military Institute (VMI), Lexington, Virginia, USA (since August 2017); Director of study abroad program, 2017-2019; Chair of International Program Committee (IPC) at VMI, August 2017-August 2019; Chair of VMIRL Liaison Committee, IPC, Institutional Review Board (IRB), since August 2017; Associate Professor at VMI, Lexington, VA, USA (2013-2017); Assistant Professor (Major-Virginia Militia) at VMI, Lexington, VA, USA (2011-2013); Postdoctoral fellow at Virginia Tech (2008-2009); Assistant Professor and Head of the Department, S.V.P. Institute of Technology (SVIT), Gujarat University, India (1998-2008), Lecturer, SVIT, Gujarat University, India (1998-2004); Doctor of Philosophy (Ph.D.): Indian Institute of Science (IISc), Bangalore, and University of Baroda, Vadodara, India; Master of Philosophy (M.Phil.): University of Baroda, Vadodara, India (1996); Master of Science (M.S.): University of Baroda, Vadodara, India (1993); Bachelor of Science (B.S.): University of Baroda, Vadodara, India (1991).He has published more than 100 research articles in highly reputed journals.

Bipan Hazarika 目前是印度阿薩姆邦古瓦哈提大學數學系的教授。在加入古瓦哈提大學之前，他曾於2005年至2017年擔任阿魯納恰爾邦羅諾山的拉吉夫甘地大學教授。他在古瓦哈提大學的科學與技術高等研究所獲得博士學位。他的主要研究興趣包括序列空間、總和理論、應用不動點理論、模糊分析以及非絕對可積函數的函數空間。他在多個國際期刊上發表了超過200篇研究論文。他是50多本由各大知名出版社出版的期刊的定期審稿人。他出版了有關微分方程、微分計算和積分計算的書籍。他是5本以上國際期刊的編輯委員會成員，並擔任《函數空間期刊》中專題「序列空間、函數空間與逼近理論」的客座編輯。他編輯了五本有關數學不同主題的書籍。

Sanket Tikare 是印度馬哈拉施特拉邦孟買大學附屬的拉姆尼蘭詹·朱亨瓦拉學院數學系的助理教授。他在印度馬哈拉施特拉邦的希瓦吉大學獲得數學碩士和博士學位，專攻應用分析。他的研究興趣包括微分方程、差分方程、時間尺度上的動態方程、衝擊系統和延遲方程。他在多個國際知名期刊上發表了與上述領域相關的多篇研究論文。他與多位來自不同機構的著名研究人員合作，包括美國密蘇里科技大學、澳大利亞新南威爾士大學、美國德克薩斯A&M大學金斯維爾校區、巴西聖保羅州立大學、法國索邦大學、印度阿魯納恰爾邦國立技術學院、古瓦哈提大學、印度普納的COEP技術大學和印度斋浦爾的曼尼帕爾大學。Tikare博士著有四本專著：《斯蒂爾捷斯微分計算及其應用》、《時間尺度上的集合動態方程》、《廣義量子計算及其應用》和《廣義量子不等式》。他還編輯了兩本編輯卷：《時間尺度上的動態方程及其應用》（CRC Press）和《總和性、不動點理論及廣義積分的應用》（CRC Press）。他是印度數學學會、國際差分方程學會、特殊函數及其應用學會和工業與應用數學學會的終身會員。Tikare博士是多本國際期刊的審稿人。此外，他還為數學評論（AMS）和德國的Zentralblatt Math撰寫了多篇評論。

Mehmet Dik 自2013年以來擔任洛克福德大學數學、計算機科學和物理系的數學教授及系主任。他目前的研究和興趣領域包括總和理論、子序列塔伯理論、塔伯定理、本科研究和大學教學。他已發表超過25篇研究論文。他是美國數學學會、土耳其數學學會、Sigma Xi科學研究學會、美國數學協會和北伊利諾伊數學教師協會的成員。他是幾本知名期刊的活躍審稿人，其中包括《數學分析與應用期刊》、《線性代數及其應用》、《澳大利亞數學學會期刊》、《Aequationes Mathematicae》等。他也是Zentralblatt fur Mathematik的審稿人，並且是幾本知名數學期刊的編輯委員會成員。

Dimplekumar Chalishajar 是美國維吉尼亞州維吉尼亞軍事學院（VMI）應用數學教授（上校-維吉尼亞民兵），自2017年8月以來擔任該職位；2017-2019年擔任海外學習計劃主任；2017年8月至2019年8月擔任國際計劃委員會（IPC）主席；自2017年8月以來擔任VMIRL聯絡委員會、IPC、機構審查委員會（IRB）主席；2013-2017年擔任VMI副教授；2011-2013年擔任VMI助理教授（少校-維吉尼亞民兵）；2008-2009年擔任維吉尼亞理工大學的博士後研究員；1998-2008年擔任印度古吉拉特大學S.V.P.技術學院的助理教授及系主任；1998-2004年擔任該學院的講師；獲得印度班加羅爾科學研究所（IISc）和印度巴羅達大學的哲學博士（Ph.D.）；1996年獲得巴羅達大學的哲學碩士（M.Phil.）；1993年獲得巴羅達大學的科學碩士（M.S.）；1991年獲得巴羅達大學的科學學士（B.S.）。他在多本高知名度的期刊上發表了超過100篇研究文章。