Identifying the initial condition for space-fractional sobolev equation
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Date
2021
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Abstract
In this work, a final value problem for a fractional pseudo-parabolic equation is considered. Firstly, we present the regularity of solution. Secondly, we show that this problem is ill-posed in Hadamard’s sense. After that we use the quasi–boundary value regularization method to solve this problem. To show that the proposed theoretical results are appropriate, we present an illustrative numerical example. © 2021, Wilmington Scientific Publisher. All rights reserved.
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Keywords
Convergence Estimates, Final Value Problem, Fractional Pseudo-Parabolic Equation, Ill-Posed Problem, Regularization
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Citation
Luc, Nguyen Hoang...et al. (2021). "Identifying the initial condition for space-fractional sobolev equation", Journal of Applied Analysis and Computation, Vol. 11, No. 5, pp. 2402-2422.
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Source
Journal of Applied Analysis and Computation
Volume
11
Issue
5
Start Page
2402
End Page
2422