TWO REGULARIZATION METHODS FOR A CLASS OF INVERSE FRACTIONAL PSEUDO–PARABOLIC EQUATIONS WITH INVOLUTION PERTURBATION

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dc.contributor.authorLAKHDARI Abdelghani (Co-Auteur)
dc.date.accessioned2025-09-15T08:04:51Z
dc.date.available2025-09-15T08:04:51Z
dc.date.issued2024
dc.descriptiondoi.org/10.7153/fdc-2024-14-03 Volume 14, Number 1 (2024), 39–59
dc.description.abstractIn 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 measur able 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.
dc.identifier.urihttp://dspace.ensti-annaba.dz:4000/handle/123456789/793
dc.language.isoen
dc.publisherFractional Differential Calculus
dc.subjectInverse problem
dc.subjectpseudo-parabolic problem
dc.subjectinvolution perturbation
dc.subjectmodified quasi-boundary-value method
dc.subjectquasireversibility method
dc.titleTWO REGULARIZATION METHODS FOR A CLASS OF INVERSE FRACTIONAL PSEUDO–PARABOLIC EQUATIONS WITH INVOLUTION PERTURBATION
dc.typeArticle
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