Determination of the fractional order in semilinear subdiffusion equations
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AbstractWe analyze the inverse boundary value-problem to determine the fractional order ν of nonautonomous semilinear subdiffusion equations with memory terms from observations of their solutions during small time. We obtain an explicit formula reconstructing the order. Based on the Tikhonov regularization scheme and the quasi-optimality criterion, we construct the computational algorithm to find the order ν from noisy discrete measurements. We present several numerical tests illustrating the algorithm in action.
2014 ◽
Vol 19
(2)
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pp. 241-256
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2009 ◽
Vol 129
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pp. 675-680
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2020 ◽
Vol 9
(8)
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pp. 6411-6423
2020 ◽
Vol 2020
(1)
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1994 ◽
Vol 58
(1)
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pp. 59-66
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