Generalized Quantum Calculus with Applications

Sanket Tikare (Autor)

Buch | Softcover

320 Seiten

2025
Academic Press Inc (Verlag)
978-0-443-32804-6 (ISBN)

Noch nicht erschienen (ca. März 2025)
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Generalized Quantum Calculus with Applications is devoted to the qualitative theory of general quantum calculus and its applications to general quantum differential equations and inequalities. The book is aimed at upper-level undergraduate students and beginning graduate students in a range of interdisciplinary courses including physical sciences and engineering, from quantum mechanics to differential equations, with pedagogically-organized chapters that each conclude with a section of practical problems. Generalized quantum calculus includes a generalization of the q-quantum calculus and the time scale calculus. There are many open problems and difficulties in q-quantum calculus and time-scale calculus, and this book explores how to use the generalized quantum operators to solve difficulties arising in q-quantum calculus and time scale calculus including but not limited to: generalized quantum integration, generalized quantum chain rules, and generalized quantum Taylor formula.

Since generalized quantum calculus includes the q-quantum calculus and time-scale calculus, this book can be utilized by a wide audience of researchers and students. This text exists as one of the few foundational books on generalized quantum calculus and can be used for future discoveries in the area of integral transforms, variational calculus, integral equations, and inequalities in the language of generalized quantum calculus. This book also offers detailed proofs, exercises, and examples to aid instructors, researchers, and users in their studies.

Dr. Sanket Tikare is an Assistant Professor in the Department of Mathematics at Ramniranjan Jhunjhunwala College, Mumbai, India. He did his M.Sc. and Ph.D. in Mathematics, both from Shivaji University, Kolhapur, Maharashtra, India. He specializes in Applied Analysis, and his research areas of interest includes differential equations, difference equations, dynamic equations on time scales, impulsive systems, and equations with delays. He has published several research papers (SCOPUS/SCIE) on areas related to the above areas and has collaborated with several eminent researchers from various institutes. He is a life member of the India Mathematical Society and a life member of the International Society of Difference Equations.

1. Generalized Quantum Differentiation
2. Generalized Quantum Integration
3. β-Elementary Functions
4. The β-Laplace Transform
5. First Order Linear β-Differential Equations
6. Second Order Linear β-Differential Equations
7. β-Differential Systems
8. Linear β- Integral Inequalities

Erscheint lt. Verlag	1.3.2025
Verlagsort	San Diego
Sprache	englisch
Maße	191 x 235 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
ISBN-10	0-443-32804-8 / 0443328048
ISBN-13	978-0-443-32804-6 / 9780443328046
Zustand	Neuware