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Fractional evolution equation with Cauchy data in spaces

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dc.contributor.author Phuong, Nguyen Duc
dc.contributor.author Baleanu, Dumitru
dc.contributor.author Agarwal, Ravi P.
dc.contributor.author Long, Le Dinh
dc.date.accessioned 2024-03-27T12:33:10Z
dc.date.available 2024-03-27T12:33:10Z
dc.date.issued 2022-12-14
dc.identifier.citation Phuong, Nguyen Duc;...et.al. (2022). "Fractional evolution equation with Cauchy data in spaces", Boundary Value Problems, No.100, pp.1-22. tr_TR
dc.identifier.uri http://hdl.handle.net/20.500.12416/7766
dc.description.abstract In this paper, we consider the Cauchy problem for fractional evolution equations with the Caputo derivative. This problem is not well posed in the sense of Hadamard. There have been many results on this problem when data is noisy in L2 and Hs . However, there have not been any papers dealing with this problem with observed data in Lp with p = 2. We study three cases of source functions: homogeneous case, inhomogeneous case, and nonlinear case. For all of them, we use a truncation method to give an approximate solution to the problem. Under different assumptions on the smoothness of the exact solution, we get error estimates between the regularized solution and the exact solution in Lp. To our knowledge, Lp evaluations for the inverse problem are very limited. This work generalizes some recent results on this problem tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.1186/s13661-022-01683-1 tr_TR
dc.rights info:eu-repo/semantics/closedAccess tr_TR
dc.subject Fractional Evolution Equation tr_TR
dc.subject Caputo Derivative tr_TR
dc.subject Cauchy Problem tr_TR
dc.subject Fourier Truncation Regularization tr_TR
dc.subject Sobolev Embeddings tr_TR
dc.title Fractional evolution equation with Cauchy data in spaces tr_TR
dc.type article tr_TR
dc.relation.journal Boundary Value Problems tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.issue 100 tr_TR
dc.identifier.startpage 1 tr_TR
dc.identifier.endpage 22 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen-Edebiyat Fakültesi, Matematik Bölümü tr_TR


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