Existence of solutions to a nonlinear fractional diffusion equation with exponential growth

Existence of solutions to a nonlinear fractional diffusion equation with exponential growth

In this paper, we study a Cauchy problem for a space–time fractional diffusion equation with exponential nonlinearity. Based on the standard Lp-Lq estimates of strongly continuous semigroup generated by fractional Laplace operator, we investigate the existence of global solutions for initial data w...

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Bibliographic Details
Main Authors: Jia Wei He, Yong Zhou, Ahmed Alsaedi, Bashir Ahmad
Format: Article
Language:English
Published: Vilnius University Press 2024-01-01
Series:Nonlinear Analysis
Subjects:
diffusion equation
Caputo’s fractional derivative
exponential growth
Orlicz spaces
Online Access:https://www.journals.vu.lt/nonlinear-analysis/article/view/34228
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