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Fractional-in-Time Semilinear Parabolic Equations and Applications

Af: Mahamadi Warma, Ciprian G. Gal Engelsk Paperback

Fractional-in-Time Semilinear Parabolic Equations and Applications

Af: Mahamadi Warma, Ciprian G. Gal Engelsk Paperback
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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. 



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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. 



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Se mere i:
Produktdetaljer
Sprog: Engelsk
Sider: 184
ISBN-13: 9783030450427
Indbinding: Paperback
Udgave:
ISBN-10: 3030450422
Kategori: Differentialregning & ligninger
Udg. Dato: 24 sep 2020
Længde: 0mm
Bredde: 155mm
Højde: 235mm
Forlag: Springer Nature Switzerland AG
Oplagsdato: 24 sep 2020
Forfatter(e): Mahamadi Warma, Ciprian G. Gal
Forfatter(e) Mahamadi Warma, Ciprian G. Gal

Kategori Differentialregning & ligninger

ISBN-13 9783030450427

Sprog Engelsk

Indbinding Paperback

Sider 184

Udgave

Længde 0mm

Bredde 155mm

Højde 235mm

Udg. Dato 24 sep 2020

Oplagsdato 24 sep 2020

Forlag Springer Nature Switzerland AG