Approximation of solutions to integro-differential time fractional order parabolic equations in L p $L^{p}$ -spaces

Abstract In this paper we study the initial boundary value problem for a class of integro-differential time fractional order parabolic equations with a small positive parameter ε. Using the Laplace transform, Mittag-Leffler operator family, C 0 $C_{0}$ -semigroup, resolvent operator, and weighted fu...

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Detalles Bibliográficos

Autores principales:	Yongqiang Zhao, Yanbin Tang
Formato:	Artigo
Lenguaje:	Inglês
Publicado:	SpringerOpen 2023-11-01
Colección:	Journal of Inequalities and Applications
Materias:	Integro-differential equation Time fractional order parabolic equation Limit problem Analytic semigroup C 0 $C_{0}$ -semigroup Mittag-Leffler function
Acceso en línea:	https://doi.org/10.1186/s13660-023-03057-2
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