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

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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Bibliographic Details
Main Authors: Yongqiang Zhao, Yanbin Tang
Format: Article
Language:English
Published: SpringerOpen 2023-11-01
Series:Journal of Inequalities and Applications
Subjects:
Integro-differential equation
Time fractional order parabolic equation
Limit problem
Analytic semigroup
C 0 $C_{0}$ -semigroup
Mittag-Leffler function
Online Access:https://doi.org/10.1186/s13660-023-03057-2

Internet

https://doi.org/10.1186/s13660-023-03057-2

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