Monotone iterative technique for time-space fractional diffusion equations involving delay
2021 ◽
Vol 26
(2)
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pp. 241-258
Keyword(s):
This paper considers the initial boundary value problem for the time-space fractional delayed diffusion equation with fractional Laplacian. By using the semigroup theory of operators and the monotone iterative technique, the existence and uniqueness of mild solutions for the abstract time-space evolution equation with delay under some quasimonotone conditions are obtained. Finally, the abstract results are applied to the time-space fractional delayed diffusion equation with fractional Laplacian operator, which improve and generalize the recent results of this issue.
2008 ◽
Vol 221
(1)
◽
pp. 158-164
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2004 ◽
Vol 156
(3)
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pp. 605-620
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2013 ◽
Vol 16
(1)
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1991 ◽
Vol 162
(2)
◽
pp. 482-493