English | ISBN: 3030450422 | 2020 | 196 pages | PDF | 2 MB

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 -dependent source, generally of arbitrary growth in the unknown function, a 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 chal 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 eeering and mathematical biology, whose research involves partial differential equations.



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