Subordination principle, Wright functions and large-time behavior for the discrete in time fractional diffusion equation

dc.contributorCorporación Universidad de la Costa
dc.creatorAbadias, Luciano
dc.creatorAlvarez, Edgardo
dc.creatorDíaz , Stiven
dc.date2022-06-07T17:41:39Z
dc.date2022-10-14
dc.date2022-06-07T17:41:39Z
dc.date2021-10-14
dc.date.accessioned2023-10-03T19:05:46Z
dc.date.available2023-10-03T19:05:46Z
dc.identifier0022-247X
dc.identifierhttps://hdl.handle.net/11323/9214
dc.identifierhttps://doi.org/10.1016/j.jmaa.2021.125741
dc.identifier10.1016/j.jmaa.2021.125741
dc.identifier1096-0813
dc.identifierCorporación Universidad de la Costa
dc.identifierREDICUC - Repositorio CUC
dc.identifierhttps://repositorio.cuc.edu.co/
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/9167632
dc.descriptionThe main goal in this paper is to study asymptotic behavior in Lp(RN ) for the solutions of the fractional version of the discrete in time N-dimensional diffusion equation, which involves the Caputo fractional h-difference operator. The techniques to prove the results are based in new subordination formulas involving the discrete in time Gaussian kernel, and which are defined via an analogue in discrete time setting of the scaled Wright functions. Moreover, we get an equivalent representation of that subordination formula by Fox H-functions.
dc.format23 páginas
dc.formatapplication/pdf
dc.formatapplication/pdf
dc.languageeng
dc.publisherAcademic Press Inc.
dc.publisherUnited States
dc.relationJournal of Mathematical Analysis and Applications
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dc.sourcehttps://www-sciencedirect-com.ezproxy.cuc.edu.co/science/article/pii/S0022247X21008209?via%3Dihub#!
dc.subjectSubordination formula
dc.subjectScaled Wright function
dc.subjectFractional difference equations
dc.subjectLarge-time behavior
dc.subjectDecay of solutions
dc.subjectDiscrete fundamental solution
dc.titleSubordination principle, Wright functions and large-time behavior for the discrete in time fractional diffusion equation
dc.typeArtículo de revista
dc.typehttp://purl.org/coar/resource_type/c_6501
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