Mild solutions to a time-fractional Cauchy problem with nonlocal nonlinearity in Besov spaces
"In this paper, we aim to study a time-fractional Cauchy problem for a heat equation with a nonlocal nonlinearity driven by simulation problems arising in populations, and biological mathematics. Using the Banach fixed-point argument, we investigate the existence and uniqueness of mild solution...
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| Tác giả chính: | , , |
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| Định dạng: | journal-article |
| Ngôn ngữ: | en_US |
| Thông tin xuất bản: |
2022
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| Chủ đề: | |
| Truy cập trực tuyến: | http://repository.vlu.edu.vn:443/handle/123456789/303 |
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| Tóm tắt: | "In this paper, we aim to study a time-fractional Cauchy problem
for a heat equation with a nonlocal nonlinearity driven by simulation
problems arising in populations, and biological mathematics. Using the
Banach fixed-point argument, we investigate the existence and uniqueness
of mild solutions in Besov spaces defined on an open subset of RN. The
key tools of our method are some linear estimates of the heat semigroup
generated by the Dirichlet Laplacian and techniques of the M-Wright
function. Some embeddings are also used for our proofs." |
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