Xuping Zhang, Kaibo Ding, Pengyu Chen
Abstract:
This article studies the asymptotically periodic problem of
time-space fractional reaction-diffusion equations with nonlocal
initial conditions on infinite intervals. Without the assumption of
upper and lower \(S\)-asymptotically \(\omega\)-periodic solutions,
the existence results of positive \(S\)-asymptotically
\(\omega\)-periodic solutions for a class of abstract time-space
fractional evolution equations with nonlocal initial conditions
under growth and order conditions are obtained by using the theory
of operator semigroups and the method of monotone iteration.
Finally, the abstract results were applied to time-space fractional
reaction-diffusion equations with nonlocal initial conditions and
some new results were obtained.
Submitted July 13, 2024. Published April 24, 2025.
Math Subject Classifications: 35R11, 35B09, 34G20, 47J35.
Key Words: Time-space fractional reaction-diffusion equation;
nonlocal initial conditions; positive S-asymptotically
omega-periodic mild solutions; monotone iterative technique.
DOI: 10.58997/ejde.2025.44
Show me the PDF file (373 KB), TEX file for this article.
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Xuping Zhang Department of Mathematics Northwest Normal University Lanzhou 730070, China email: lanyu9986@126.com |
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Kaibo Ding Department of Mathematics Northwest Normal University Lanzhou 730070, China email: dingkb583x@163.com |
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Pengyu Chen Department of Mathematics Northwest Normal University Lanzhou 730070, China. email: chpengyu123@163.com |
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