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dc.contributor.advisorDale, A. I.
dc.creatorPitts, Susan.
dc.date.accessioned2015-01-05T06:57:21Z
dc.date.available2015-01-05T06:57:21Z
dc.date.created2012
dc.date.issued2012
dc.identifier.urihttp://hdl.handle.net/10413/11790
dc.descriptionM. Sc. University of KwaZulu-Natal, Durban 2012.en
dc.description.abstractThe fractional calculus of deterministic functions is well known and widely used. Mean-square calculus is a calculus that is suitable for use when dealing with second-order stochastic processes. In this dissertation we explore the idea of extending the fractional calculus of deterministic functions to a mean-square setting. This exploration includes the development of some of the theoretical aspects of mean-square fractional calculus – such as definitions and properties – and the consideration of the application of mean square fractional calculus to fractional random differential and integral equations. The development of mean-square calculus follows closely that of the calculus of deterministic functions making mean square calculus more accessible to a large audience. Wherever possible, our development of mean-square fractional calculus is done in a similar manner to that of ordinary fractional calculus so as to make mean-square fractional calculus more accessible to people with some exposure to ordinary fractional calculus.en
dc.language.isoen_ZAen
dc.subjectFractional calculus.en
dc.subjectFractional differential equations.en
dc.subjectDifferential calculus.en
dc.subjectFractional integrals.en
dc.subjectStochastic processes.en
dc.subjectDifferential equations.en
dc.subjectTheses--Statistics.en
dc.titleMean-square fractional calculus and some applications.en
dc.typeThesisen


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