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On partial differential equations modified with fractional operators and integral transformations: Nonlocal and nonlinear PDF models

dc.contributor.authorNelsen, Nicholas H.
dc.date.accessioned2019-02-06T19:54:44Z
dc.date.available2019-02-06T19:54:44Z
dc.date.issued2018-05-04
dc.identifieroksd_nelsen2_HT_2018
dc.identifier.urihttps://hdl.handle.net/11244/317147
dc.description.abstractWe explore nonlocal and pseudo-differential operators in the setting of partial differential equations (PDE). The two primary PDE in this work are the generalized heat equation and the nonlocal Burgers' type advection-diffusion equation. These nonlocal and nonlinear models arise in complex physical systems including material phase transition and fluid flow.
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dc.languageen_US
dc.rightsCopyright is held by the author who has granted the Oklahoma State University Library the non-exclusive right to share this material in its institutional repository. Contact Digital Library Services at lib-dls@okstate.edu or 405-744-9161 for the permission policy on the use, reproduction or distribution of this material.
dc.titleOn partial differential equations modified with fractional operators and integral transformations: Nonlocal and nonlinear PDF models
osu.filenameoksd_nelsen2_HT_2018.pdf
osu.accesstypeOpen Access
dc.type.genreHonors Thesis
dc.type.materialText
dc.contributor.directorWu, Jiahong
dc.contributor.facultyreaderHu, Weiwei
thesis.degree.disciplineMathematics
thesis.degree.grantorOklahoma State University


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