Fractal Vector Analysis

A Local Fractional Calculus Point of View
Erscheinungsjahr 2022
ISBN: 978-0-323-85238-8
Verlag: Elsevier Science

Buch, Englisch, 300 Seiten, Format (B × H): 152 mm x 229 mm

Fractal Vector Analysis: A Local Fractional Calculus Point of View provides an overview of fractal vector calculus, which includes local fractional line integrals, local fractional surface integrals, and local fractional volume integrals. The book presents an overview of key breakthroughs in classical calculus in vector spaces. Readers will gain a deeper understanding of some applications of local fractional calculus from the fractals point of view. Coverage will include double and triple local fractional integrals, as well as elliptic, parabolic and hyperbolic local fractional PDEs.The potential audience includes, but is not limited to, researchers in the fields of mathematics, physics, and engineering. It could also be used as a textbook for an introductory course on fractal vector calculus and applications, for senior undergraduate and graduate students in the above-mentioned areas.

Zielgruppe

Graduate students and researchers in mathematics (pure and applied), engineering, physics, economics

Autoren/Hrsg.

Yang, Xiao-Jun

Fachgebiete

• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle

Inhaltsverzeichnis

1. Preliminaries2. Local fractional calculus of one-variable functions defined on fractal sets3. Local fractional partial derivatives and applications4. Multiple local fractional integrals of fractal functions5. Local fractional line integrals, surface integrals and tensors6. Local fractional calculus of variations7. A optimization method for fractal functions8. Local fractional Euler-Lagrange type equations9. Local fractional Fourier type integral transform10. Applications

Über Autor(innen)

Yang, Xiao-Jun
Dr. Xiao-Jun Yang is a full professor of China University of Mining and Technology, China. He was awarded the 2019 Obada-Prize, the Young Scientist Prize (Turkey), and Springer's Distinguished Researcher Award. His scientific interests include: Viscoelasticity, Mathematical Physics, Fractional Calculus and Applications, Fractals, Analytic Number Theory, and Special Functions. He has published over 160 journal articles and 4 monographs, 1 edited volume, and 10 chapters. He is currently an editor of several scientific journals, such as Fractals, Applied Numerical Mathematics, Mathematical Methods in the Applied Sciences, Mathematical Modelling and Analysis, Journal of Thermal Stresses, and Thermal Science, and an associate editor of Journal of Thermal Analysis and Calorimetry, Alexandria Engineering Journal, and IEEE Access.