000			02079nam a22003015i 4500
001			91838
005			20240322092117.0
010			_a978-3-030-45043-4 _dcompra
090			_a91838
100			_a20231023d2020 k||y0pory50 ba
101	0		_aeng
102			_aCH _bCham
200	1		_aFractional-in-time semilinear parabolic equations and applications _bDocumento eletrónico _fCiprian G. Gal, Mahamadi Warma
210			_aCham _cSpringer International Publishing _d2020
215			_aXII, 184 p. _cil.
225	2		_aMathématiques et Applications _vvol. 84
303			_aThis 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. .
606			_aDifferential equations
606			_aMathematics
606			_aMathematical physics
680			_aQA370-380
700			_973302 _aGal _bCiprian G.
701			_973303 _aWarma _bMahamadi _4070
801		0	_aPT _gRPC
856	4		_uhttps://doi.org/10.1007/978-3-030-45043-4
942			_2lcc _cF _n0