Fractal Functions Communication with Fractional Calculus
This book provides an in-depth examination of fractal functions, focusing on their self-similar structures and the relatively simple construction procedures that make them a subject of fascination in mathematics and engineering. By exploring fractal interpolation functions, the book sheds light on n...
Salvato in:
| Autori principali: | , , |
|---|---|
| Ente Autore: | |
| Natura: | Elettronico eBook |
| Lingua: | inglese |
| Pubblicazione: |
Cham :
Springer Nature Switzerland : Imprint: Springer,
2025.
|
| Edizione: | 1st ed. 2025. |
| Soggetti: | |
| Accesso online: | https://doi.org/10.1007/978-3-031-96993-5 |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
MARC
| LEADER | 00000nam a22000005i 4500 | ||
|---|---|---|---|
| 001 | 978-3-031-96993-5 | ||
| 003 | DE-He213 | ||
| 005 | 20260810154343.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 250926s2025 sz | o |||| 0|eng d | ||
| 020 | |a 9783031969935 |9 978-3-031-96993-5 | ||
| 024 | 7 | |a 10.1007/978-3-031-96993-5 |2 doi | |
| 050 | 4 | |a QA843-871 | |
| 072 | 7 | |a GPFC |2 bicssc | |
| 072 | 7 | |a MAT034000 |2 bisacsh | |
| 072 | 7 | |a GPFC |2 thema | |
| 082 | 0 | 4 | |a 515.39 |2 23 |
| 100 | 1 | |a Gowrisankar, A. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Fractal Functions Communication with Fractional Calculus |h [electronic resource] / |c by A. Gowrisankar, T. M. C. Priyanka, Santo Banerjee. |
| 250 | |a 1st ed. 2025. | ||
| 264 | 1 | |a Cham : |b Springer Nature Switzerland : |b Imprint: Springer, |c 2025. | |
| 300 | |a 1 online resource (XI, 186 p. 51 illus.). |b 50 illus. in color. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 341 | 0 | |b PDF/UA-1 |2 onix | |
| 341 | 0 | |b Table of contents navigation |2 onix | |
| 341 | 0 | |b Single logical reading order |2 onix | |
| 341 | 0 | |b Short alternative textual descriptions |2 onix | |
| 341 | 0 | |b Use of color is not sole means of conveying information |2 onix | |
| 341 | 0 | |b Use of high contrast between text and background color |2 onix | |
| 341 | 0 | |b Next / Previous structural navigation |2 onix | |
| 341 | 0 | |b All non-decorative content supports reading without sight |2 onix | |
| 347 | |a text file |b PDF |2 rda | ||
| 505 | 0 | |a Fractal Geometry -- Fractal Functions An Overview -- Fractal Interpolation Vs Classical Interpolation -- Fractal Splines -- Fractal Co efficients -- Classical Integration on Fractal Functions -- Methods of Fractional Calculus -- Fractional Derivative Order and Fractal Scalings -- Fractional Integral Order and Fractal Scalings -- Applications of Fractal Interpolation Functions. | |
| 520 | |a This book provides an in-depth examination of fractal functions, focusing on their self-similar structures and the relatively simple construction procedures that make them a subject of fascination in mathematics and engineering. By exploring fractal interpolation functions, the book sheds light on naturally occurring phenomena that exhibit irregularity and non-integer dimensions, offering a fresh perspective on these complex mathematical constructs. The chapters cover a range of topics, including the foundational principles of fractal geometry, the construction of fractal functions through iterated function systems, and the critical role of scaling parameters. Readers will find expert analyses of affine and non-affine fractal functions, as well as discussions on the application of fractional calculus methods such as the Riemann-Liouville and Caputo derivatives. The book also explores the practical applications of fractal interpolation in areas like epidemiology and climate dynamics, demonstrating the relevance of these mathematical concepts to real-world problems. This volume is an essential resource for researchers and scholars in mathematics, engineering, and related fields. It offers a comprehensive overview of the current research on fractal functions and fractional calculus, providing readers with the tools to understand and apply these concepts in their work. Whether you are an academic seeking to deepen your knowledge or a practitioner looking to apply fractal functions to practical challenges, this book is a valuable addition to your library. It invites you to engage with the latest research and explore the potential of fractal functions in addressing complex scientific and engineering problems. . | ||
| 532 | 8 | |a Accessibility summary: This PDF has been created in accordance with the PDF/UA-1 standard to enhance accessibility, including screen reader support, described non-text content (images, graphs), bookmarks for easy navigation, keyboard-friendly links and forms and searchable, selectable text. We recognize the importance of accessibility, and we welcome queries about accessibility for any of our products. If you have a question or an access need, please get in touch with us at accessibilitysupport@springernature.com. Please note that a more accessible version of this eBook is available as ePub. | |
| 532 | 8 | |a No reading system accessibility options actively disabled | |
| 532 | 8 | |a Publisher contact for further accessibility information: accessibilitysupport@springernature.com | |
| 588 | |a Print version record. | ||
| 650 | 0 | |a Dynamical systems. | |
| 650 | 0 | |a System theory. | |
| 650 | 0 | |a Mathematical physics. | |
| 650 | 1 | 4 | |a Dynamical Systems. |
| 650 | 2 | 4 | |a Complex Systems. |
| 650 | 2 | 4 | |a Theoretical, Mathematical and Computational Physics. |
| 700 | 1 | |a Priyanka, T. M. C. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 700 | 1 | |a Banerjee, Santo. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783031969928 |
| 776 | 0 | 8 | |i Printed edition: |z 9783031969942 |
| 776 | 0 | 8 | |i Printed edition: |z 9783031969959 |
| 856 | 4 | 0 | |u https://doi.org/10.1007/978-3-031-96993-5 |
| 912 | |a ZDB-2-PHA | ||
| 912 | |a ZDB-2-SXP | ||
| 912 | |a ZDB-2-251 | ||
| 950 | |a Physics and Astronomy (SpringerNature-11651) | ||
| 950 | |a Physics and Astronomy (R0) (SpringerNature-43715) | ||
| 950 | |a Focus Bundle Mathematics and Statistics (SpringerNature-85421) | ||