| Autor: |
BENABBES, FARES, BOUSSETILA, NADJIB, LAKHDARI, ABDELGHANI |
| Předmět: |
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| Zdroj: |
Fractional Differential Calculus; Jun2024, Vol. 14 Issue 1, p39-59, 21p |
| Abstrakt: |
In this study, we provide a theoretical analysis of an inverse problem governed by a time-fractional pseudo-parabolic equation with involution. The problem is characterized as ill-posed, meaning that the solution (if it exists) does not depend continuously on the measurable data. To address the inherent instability of this problem, we introduce two regularization strategies: the first employs a modified quasi-boundary value method, and the second utilizes a variant of the quasi-reversibility technique. We present convergence results under an a priori bound assumption and propose a practical a posteriori parameter selection rule. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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