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Identifying the initial condition for space-fractional sobolev equation

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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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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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Journal of Applied Analysis and Computation

Volume

11

Issue

5

Start Page

2402

End Page

2422