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Fractional-in-time semilinear parabo...

Gal, Ciprian G.

Fractional-in-time semilinear parabolic equations and applications

Record Type:	Electronic resources : Monograph/item
Title/Author:	Fractional-in-time semilinear parabolic equations and applicationsby Ciprian G. Gal, Mahamadi Warma.
Author:	Gal, Ciprian G.
other author:	Warma, Mahamadi.
Published:	Cham :Springer International Publishing :2020.
Description:	xii, 184 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Fractional differential equations.
Online resource:	https://doi.org/10.1007/978-3-030-45043-4
ISBN:	9783030450434$q(electronic bk.)

Fractional-in-time semilinear parabolic equations and applications
Gal, Ciprian G.

Fractional-in-time semilinear parabolic equations and applications[electronic resource] /by Ciprian G. Gal, Mahamadi Warma. - Cham :Springer International Publishing :2020. - xii, 184 p. :ill., digital ;24 cm. - Mathematiques et applications,841154-483X ;. - Mathematiques et applications ;79..

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.

ISBN: 9783030450434$q(electronic bk.)

Standard No.: 10.1007/978-3-030-45043-4doiSubjects--Topical Terms:

709091
Fractional differential equations.

LC Class. No.: QA377

Dewey Class. No.: 515.3534

Fractional-in-time semilinear parabolic equations and applications
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520 $a 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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