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Identifying the source function for time fractional diffusion with non-local in time conditions

dc.contributor.authorLuc, Nguyen Hoang
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorAgarwal, Ravi P.
dc.contributor.authorLong, Le Dinh
dc.contributor.authorID56389tr_TR
dc.date.accessioned2022-05-23T12:27:19Z
dc.date.available2022-05-23T12:27:19Z
dc.date.issued2021
dc.departmentÇankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractThe diffusion equation has many applications in fields such as physics, environment, and fluid mechanics. In this paper, we consider the problem of identifying an unknown source for a time-fractional diffusion equation in a general bounded domain from the nonlocal integral condition. The problem is non-well-posed in the sense of Hadamard, i.e, if the problem has only one solution, the solution will not depend continuously on the input data. To get a stable solution and approximation, we need to offer the regularization methods. The first contribution to the paper is to provide a regularized solution using the modified fractional Landweber method. Two choices are proposed including a priori and a posteriori parameter choice rules, to estimate the convergence rate of the regularized methods. The second new contribution is to use truncation to give an estimate of Lp for the convergence rate. © 2021, SBMAC - Sociedade Brasileira de Matemática Aplicada e Computacional.en_US
dc.description.publishedMonth7
dc.identifier.citationLuc, Nguyen Hoang...et al. (2021). "Identifying the source function for time fractional diffusion with non-local in time conditions", Computational and Applied Mathematics, Vol. 40, No. 5.en_US
dc.identifier.doi10.1007/s40314-021-01538-y
dc.identifier.issn2238-3603
dc.identifier.issue5en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/5544
dc.identifier.volume40en_US
dc.language.isoenen_US
dc.relation.ispartofComputational and Applied Mathematicsen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectConvergence Estimatesen_US
dc.subjectFractional Diffusion Problemen_US
dc.subjectIll-Posed Problemen_US
dc.subjectIntegral Conditionen_US
dc.subjectInverse Source Problemen_US
dc.subjectRegularizationen_US
dc.titleIdentifying the source function for time fractional diffusion with non-local in time conditionstr_TR
dc.titleIdentifying the Source Function for Time Fractional Diffusion With Non-Local in Time Conditionsen_US
dc.typeArticleen_US
dspace.entity.typePublication

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