Fractional in Time Semilinear Parabolic Equations and Applications is popular PDF and ePub book, written by Ciprian G. Gal in 2020-09-23, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Fractional in Time Semilinear Parabolic Equations and Applications can be Read Online from any device for your convenience.
Fractional in Time Semilinear Parabolic Equations and Applications Book PDF Summary
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.
Detail Book of Fractional in Time Semilinear Parabolic Equations and Applications PDF
- Author : Ciprian G. Gal
- Release : 23 September 2020
- Publisher : Springer Nature
- ISBN : 9783030450434
- Genre : Mathematics
- Total Page : 193 pages
- Language : English
- PDF File Size : 16,9 Mb
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