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On a problem for the nonlinear diffusion equation with conformable time derivative

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dc.contributor.author Au, Vo Van
dc.contributor.author Baleanu, Dumitru
dc.contributor.author Zhou, Yong
dc.contributor.author Huu Can, Nguyen
dc.date.accessioned 2022-10-06T12:09:48Z
dc.date.available 2022-10-06T12:09:48Z
dc.date.issued 2022
dc.identifier.citation Au, Vo Van...et al. (2022). "On a problem for the nonlinear diffusion equation with conformable time derivative", Applicable Analysis, Vol. 101, No. 17, pp. 6255-6279. tr_TR
dc.identifier.issn 0003-6811
dc.identifier.uri http://hdl.handle.net/20.500.12416/5809
dc.description.abstract In this paper, we study a nonlinear diffusion equation with conformable derivative: (Formula presented.), where (Formula presented.). We consider both of the problems: Initial value problem: the solution contains the integral (Formula presented.) (critical as (Formula presented.)). Final value problem: not well-posed (if the solution exists it does not depend continuously on the given data). For the initial value problem, the lack of convergence of the integral I, for (Formula presented.). The existence for the solution is represented. For the final value problem, the Hadamard instability occurs, we propose two regularization methods to solve the nonlinear problem in case the source term is a Lipschitz function. The results of existence, uniqueness and stability of the regularized problem are obtained. We also develop some new techniques on functional analysis to propose regularity estimates of regularized solution. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.1080/00036811.2021.1921155 tr_TR
dc.rights info:eu-repo/semantics/closedAccess tr_TR
dc.subject Conformable Derivative tr_TR
dc.subject Direct Problems tr_TR
dc.subject Existence tr_TR
dc.subject Inverse Problems tr_TR
dc.subject Regularity tr_TR
dc.title On a problem for the nonlinear diffusion equation with conformable time derivative tr_TR
dc.type article tr_TR
dc.relation.journal Applicable Analysis tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 101 tr_TR
dc.identifier.issue 17 tr_TR
dc.identifier.startpage 6255 tr_TR
dc.identifier.endpage 6279 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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