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Mathématiques et Applications
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Fractional-in-Time Semilinear Parabolic Equations and Applications

Authors: Gal, Ciprian G., Warma, Mahamadi

  • Provides a general framework which will facilitate the further study of nonlocal reaction-diffusion systems
  • Addresses the existence of (non-regular) mild solutions, strong solutions, and the global regularity problem 
  • Establishes clear connections between fractional in time and classical parabolic problems 
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  • The eBook version of this title will be available soon
  • Due: 9 de octubre de 2020
  • ISBN 978-3-030-45043-4
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Softcover $59.99
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  • Due: 11 de septiembre de 2020
  • ISBN 978-3-030-45042-7
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  • Immediate ebook access, if available*, with your print order
About this Textbook

This book provides a unified analysis and scheme for the existence and uniqueness of strong and mild solutions to certain fractional kinetic equations. This class of equations is characterized by the presence of a nonlinear time-dependent source, generally of arbitrary growth in the unknown function, a time derivative in the sense of Caputo and the presence of a large class of diffusion operators. The global regularity problem is then treated separately and the analysis is extended to some systems of fractional kinetic equations, including prey-predator models of Volterra–Lotka type and chemical reactions models, all of them possibly containing some fractional kinetics.

Besides classical examples involving the Laplace operator, subject to standard (namely, Dirichlet, Neumann, Robin, dynamic/Wentzell and Steklov) boundary conditions, the framework also includes non-standard diffusion operators of "fractional" type, subject to appropriate boundary conditions.

This book is aimed at graduate students and researchers in mathematics, physics, mathematical engineering and mathematical biology, whose research involves partial differential equations. 



About the authors

Ciprian Gal is Associate Professor at Florida International University, Miami, Florida (USA). His research focuses on the analysis of nonlinear partial differential equations including nonlocal PDEs.

Mahamadi Warma is Professor at George Mason University in Fairfax, Virginia (USA). His reseach focuses on linear and nonlinear partial differential equations, fractional PDEs and their controllability-observability properties.

 

Buy this book

eBook $44.99
price for Mexico (gross)
  • The eBook version of this title will be available soon
  • Due: 9 de octubre de 2020
  • ISBN 978-3-030-45043-4
  • Digitally watermarked, DRM-free
  • Included format:
  • ebooks can be used on all reading devices
Softcover $59.99
price for Mexico
  • Customers within the U.S. and Canada please contact Customer Service at +1-800-777-4643, Latin America please contact us at +1-212-460-1500 (24 hours a day, 7 days a week). Pre-ordered printed titles are excluded from promotions.
  • Due: 11 de septiembre de 2020
  • ISBN 978-3-030-45042-7
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
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Bibliographic Information

Bibliographic Information
Book Title
Fractional-in-Time Semilinear Parabolic Equations and Applications
Authors
Series Title
Mathématiques et Applications
Series Volume
84
Copyright
2020
Publisher
Springer International Publishing
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-030-45043-4
DOI
10.1007/978-3-030-45043-4
Softcover ISBN
978-3-030-45042-7
Series ISSN
1154-483X
Edition Number
1
Number of Pages
XII, 184
Topics

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