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Fractional-In-Time Semilinear Parabolic Equations and Applications

Fractional-In-Time Semilinear Parabolic Equations and Applications

Paperback

Series: Mathématiques Et Applications, Book 84

General MathematicsPhysics

ISBN10: 3030450422
ISBN13: 9783030450427
Publisher: Springer Nature
Published: Sep 24 2020
Pages: 184
Weight: 0.63
Height: 0.42 Width: 6.14 Depth: 9.21
Language: English

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.

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General Mathematics