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Autor:
Naber, Mark
In this paper the linearly damped oscillator equation is considered with the damping term generalized to a Caputo fractional derivative. The order of the derivative being considered is 0 less than or equal to nu which is less than or equal to 1 . At
Externí odkaz:
http://arxiv.org/abs/0908.1683
Autor:
Naber, Mark
Publikováno v:
J. Math. Phys. Vol 45, No. 8 pages 3339-3352, Aug. 2004
The Schrodinger equation is considered with the first order time derivative changed to a Caputo fractional derivative, the time fractional Schrodinger equation. The resulting Hamiltonian is found to be non-Hermitian and non-local in time. The resulti
Externí odkaz:
http://arxiv.org/abs/math-ph/0410028
Autor:
Naber, Mark
The Riemann-Liouville formula for fractional derivatives and integrals (differintegration) is used to derive formulae for matrix order derivatives and integrals. That is, the parameter for integration and differentiation is allowed to assume matrix v
Externí odkaz:
http://arxiv.org/abs/math-ph/0312051
Autor:
Naber, Mark
A distributed order fractional diffusion equation is considered. Distributed order derivatives are fractional derivatives that have been integrated over the order of the derivative within a given range. In this paper sub-diffusive cases are considere
Externí odkaz:
http://arxiv.org/abs/math-ph/0311047
This work further develops the properties of fractional differential forms. In particular, finite dimensional subspaces of fractional form spaces are considered. An inner product, Hodge dual, and covariant derivative are defined. Coordinate transform
Externí odkaz:
http://arxiv.org/abs/math-ph/0301016
Publikováno v:
J. Math. Phys. 42, 5, 2203, May (2001)
A generalization of exterior calculus is considered by allowing the partial derivatives in the exterior derivative to assume fractional orders. That is, a fractional exterior derivative is defined. This is found to generate new vector spaces of finit
Externí odkaz:
http://arxiv.org/abs/math-ph/0301013
Autor:
Naber, Mark1, Lymburner, Lucas1 mnaber@monroeccc.edu
Publikováno v:
Applications & Applied Mathematics. Jun2019, Vol. 14 Issue 1, p164-187. 24p.
Autor:
Naber, Mark Raymond
Thesis (B.S.)--Massachusetts Institute of Technology, Dept. of Chemical Engineering, 1980.
Includes bibliographical references (leaves 61-62).
by Mark Ramond Naber.
B.S.
Includes bibliographical references (leaves 61-62).
by Mark Ramond Naber.
B.S.
Externí odkaz:
http://hdl.handle.net/1721.1/68297
Autor:
Naber, Mark1 mnaber@monroeccc.edu
Publikováno v:
International Journal of Differential Equations. 2010, p1-12. 12p. 2 Diagrams, 3 Graphs.
Autor:
Naber, Mark G.
Publikováno v:
Electronic Theses and Dissertations
Taub numbers are studied as a set of tensorial conservation laws derivable from curves of solutions to the vacuum Einstein equations. A formulation for Taub numbers of all orders is provided as well as a derivation of the Xanthopoulos theorem. Taub n
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=od______2870::a0e04ec7a57f1f9261da4229adfa77d3
https://scholar.uwindsor.ca/context/etd/article/4720/viewcontent/nn83023_uwindsor.pdf
https://scholar.uwindsor.ca/context/etd/article/4720/viewcontent/nn83023_uwindsor.pdf