Fractional calculus : bridging theory with computational and contemporary advances /

Fractional Calculus: Bridging Theory with Computational and Contemporary Advances is an authoritative and comprehensive guide that delves into the world of fractional calculus, offering a unique blend of theoretical foundations, numerical algorithms, practical applications, and innovative perspectiv...

पूर्ण विवरण

में बचाया:
ग्रंथसूची विवरण
मुख्य लेखक: Ghanbari, Behzad (लेखक)
स्वरूप: इलेक्ट्रोनिक ई-पुस्तक
भाषा:अंग्रेज़ी
प्रकाशित: Cambridge, MA : Morgan Kaufmann, [2024]
श्रृंखला:Advanced studies in complex systems.
विषय:
ऑनलाइन पहुंच:ScienceDirect
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245 1 0 |a Fractional calculus :  |b bridging theory with computational and contemporary advances /  |c Behzad Ghanbari. 
264 1 |a Cambridge, MA :  |b Morgan Kaufmann,  |c [2024] 
300 |a 1 online resource (xviii, 283 pages) :  |b illustrations. 
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490 1 |a Advanced studies in complex systems 
504 |a Includes bibliographical references and index. 
520 |a Fractional Calculus: Bridging Theory with Computational and Contemporary Advances is an authoritative and comprehensive guide that delves into the world of fractional calculus, offering a unique blend of theoretical foundations, numerical algorithms, practical applications, and innovative perspectives. This book explores the mathematical framework of fractional calculus and its relevance across various disciplines, providing readers with a deep understanding of this rapidly growing field. The author presents a rigorous yet accessible approach to fractional calculus, making it suitable for mathematicians, researchers, academics, graduate students, and professionals in engineering and applied sciences. The book covers a wide range of topics, including numerical methods for fractional calculus equations, fractional differential equations, fractal dynamics, and fractional control systems. It also explores applications in areas such as physics, engineering, signal processing, and data analysis. Fractional Calculus: Bridging Theory with Computational and Contemporary Advances equips readers with the necessary tools to tackle challenging problems involving fractional calculus, empowering them to apply these techniques in their research, professional work, or academic pursuits. The book provides a comprehensive introduction to the fundamentals of fractional calculus, explaining the theoretical concepts and key definitions in a clear and accessible manner. This helps readers build a strong foundation in the subject. The book then covers a range of numerical algorithms specifically designed for fractional calculus problems, explaining the underlying principles, step-by-step implementation, and computational aspects of these algorithms. This enables readers to apply numerical techniques to solve fractional calculus problems effectively. The book also provides examples that illustrate how fractional calculus is applied to solve real-world problems, providing readers with insights into the wide-ranging applications of the subject. Provides a comprehensive introduction to the fundamentals of fractional calculus, explaining the theoretical concepts and key definitions in a clear and accessible manner Covers a range of numerical algorithms specifically designed for fractional calculus problems Includes practical examples and case studies from various fields such as physics, biology, finance, and signal processing. 
588 |a Description based on print version record. 
650 0 |a Fractional calculus. 
650 0 |a Fractional calculus  |x Data processing. 
650 6 |a Dérivées fractionnaires.  |0 (CaQQLa)201-0283840 
650 6 |a Dérivées fractionnaires  |0 (CaQQLa)201-0283840  |x Informatique.  |0 (CaQQLa)201-0380011 
650 7 |a Fractional calculus  |2 fast  |0 (OCoLC)fst00933515 
776 0 8 |i Print version:  |a Ghanbari, Behzad.  |t Fractional calculus.  |d Cambridge, MA : Morgan Kaufmann, [2024]  |z 0443315000  |w (OCoLC)1435476540 
830 0 |a Advanced studies in complex systems. 
856 4 0 |3 ScienceDirect  |u https://www.sciencedirect.com/science/book/9780443315008