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Re: Fractal Cauculus Project

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  Re: Fractal Cauculus Project Dr Huang <drhuang57@gmail.com> - 2020-09-22 18:11 -0700
    Re: Fractal Cauculus Project "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2020-12-31 22:36 -0800
      Re: Fractal Cauculus Project Roger Bagula <roger.bagula@gmail.com> - 2021-01-01 05:08 -0800
        Re: Fractal Cauculus Project malarkey <nobody@blackhole.net> - 2021-01-06 04:45 -0600
        Re: Fractal Cauculus Project "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com> - 2021-01-12 00:25 -0800

#2056 — Re: Fractal Cauculus Project

On Friday, 17 September 2004 at 05:44:47 UTC+10, Roger Bagula wrote:
> FRACTIONAL CALCULUS PROJECT
> Partially supported by research grants DES-9980484, DMS-0139943 and 
> DMS-0139927 from the National Science Foundation and DE-FG03-98ER14885 
> from the U.S. Department of Energy.
> The Fractional Calculus Project is an interdisciplinary collaboration of 
> mathematicians, statisticians, physicists and hydrologists to develop 
> the theory and practical application of fractals, fractional 
> derivatives, and heavy tailed stochastic processes.
> Fractional-order partial differential equations (PDEs) are used by 
> physicists and hydrologists to model anomalous diffusion and Hamiltonian 
> chaos. These governing equations describe the asymptotic behavior of 
> continuous time random walks (CTRWs). Stochastic solutions to the 
> simplest governing equations are Levy motions, generalizing the Brownian 
> motion solution to the classical diffusion equation. More generally, 
> these equations invoke pseudo-differential operators that are 
> non-local. Fractional PDEs address shortcomings with previous methods 
> in geophysics, but a number of important problems remain open.
> Senior investigators:
> Inmaculada B. Aban <http://unr.edu/homepage/aban/>, Department of 
> Mathematics & Statistics, University of Nevada, Reno
> David A. Benson 
> <http://www.hydro.unr.edu/homepages/benson/current/index.html>, Desert 
> Research Institute, Reno, NV
> Tomasz J. Kozubowski <http://unr.edu/homepage/tkozubow/>, Department of 
> Mathematics & Statistics, University of Nevada, Reno.
> Mark M. Meerschaert <http://unr.edu/homepage/mcubed/>, Department of 
> Physics, University of Nevada, Reno.
> Anna K. Panorska, Department of Mathematics & Statistics, University of 
> Nevada, Reno.
> Stephen W. Wheatcraft <http://www.hydro.unr.edu/homepages/wheatcraft/>, 
> Department of Geological Sciences, University of Nevada, Reno.
> Postdoctoral and graduate students:
> Ellen Considine, graduate student, Program in Hydrologic Sciences, 
> University of Nevada, Reno.
> Erich Foster, graduate student, Program in Hydrologic Sciences, 
> University of Nevada, Reno.
> Matt Reeves, graduate student, Program in Hydrologic Sciences, 
> University of Nevada, Reno.
> Charles Tadjeran, Postdoctoral Research Assistant, Department of 
> Mathematics & Statistics, University of Nevada, Reno.
> Yong Zhang, Postdoctoral Research Assistant, Desart Research Institute, 
> Reno.
> Other researchers affiliated with the Fractal Calculus Project:
> Boris Baeumer <http://www.maths.otago.ac.nz/%7Ebbaeumer/>, Department of 
> Mathematics, University of Otago, New Zealand.
> Peter Becker-Kern, Department of Mathematics, University of Dortmund, 
> Germany.
> Kristen Bianchi, Department of Mathematics & Statistics, University of 
> Nevada, Reno.
> Jeff Mortensen <http://unr.edu/homepage/jm/>, Department of Mathematics 
> & Statistics, University of Nevada, Reno.
> Hans-Peter Scheffler 
> <http://www.mathematik.uni-dortmund.de/lsiv/scheffler/scheffler.html>, 
> Department of Mathematics & Statistics, University of Nevada, Reno.
> Rina Schumer, PhD in Hydrology 2002 (advisor David Benson).
> http://unr.edu/homepage/mcubed/FRG.html
> -- 
> Respectfully, Roger L. Bagula
> tf...@earthlink.net, 11759Waterhill Road, Lakeside,Ca 92040-2905,tel: 619-5610814 :
> URL : http://home.earthlink.net/~tftn
> URL : http://victorian.fortunecity.com/carmelita/435/

good idea, you can do a project about fractional partial differential equation.
mathHand.com solves fractional partial differential equation by clicking the dsolve and plot by clicking plot3D and test its solution by clicking the test.

http://server.drhuang.com/input/?guess=dsolve%28ds%28y%2Ct%2C0.5%29%2B2ds%28y%2Cx%2C2%29%2B4ds%28y%2Cx%2C1%29%2Bexp%28x%29*t%29&inp=ds%28y%2Ct%2C0.5%29%2B2ds%28y%2Cx%2C2%29%2B4ds%28y%2Cx%2C1%29%2Bexp%28x%29*t&lang=null

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#2057

On 9/22/2020 6:11 PM, Dr Huang wrote:
> On Friday, 17 September 2004 at 05:44:47 UTC+10, Roger Bagula wrote:
>> FRACTIONAL CALCULUS PROJECT
>> Partially supported by research grants DES-9980484, DMS-0139943 and
>> DMS-0139927 from the National Science Foundation and DE-FG03-98ER14885
>> from the U.S. Department of Energy.
>> The Fractional Calculus Project is an interdisciplinary collaboration of
>> mathematicians, statisticians, physicists and hydrologists to develop
>> the theory and practical application of fractals, fractional
>> derivatives, and heavy tailed stochastic processes.
>> Fractional-order partial differential equations (PDEs) are used by
>> physicists and hydrologists to model anomalous diffusion and Hamiltonian
>> chaos. These governing equations describe the asymptotic behavior of
>> continuous time random walks (CTRWs). Stochastic solutions to the
>> simplest governing equations are Levy motions, generalizing the Brownian
>> motion solution to the classical diffusion equation. More generally,
>> these equations invoke pseudo-differential operators that are
>> non-local. Fractional PDEs address shortcomings with previous methods
>> in geophysics, but a number of important problems remain open.
>> Senior investigators:
>> Inmaculada B. Aban <http://unr.edu/homepage/aban/>, Department of
>> Mathematics & Statistics, University of Nevada, Reno
>> David A. Benson
>> <http://www.hydro.unr.edu/homepages/benson/current/index.html>, Desert
>> Research Institute, Reno, NV
>> Tomasz J. Kozubowski <http://unr.edu/homepage/tkozubow/>, Department of
>> Mathematics & Statistics, University of Nevada, Reno.
>> Mark M. Meerschaert <http://unr.edu/homepage/mcubed/>, Department of
>> Physics, University of Nevada, Reno.
>> Anna K. Panorska, Department of Mathematics & Statistics, University of
>> Nevada, Reno.
>> Stephen W. Wheatcraft <http://www.hydro.unr.edu/homepages/wheatcraft/>,
>> Department of Geological Sciences, University of Nevada, Reno.
>> Postdoctoral and graduate students:
>> Ellen Considine, graduate student, Program in Hydrologic Sciences,
>> University of Nevada, Reno.
>> Erich Foster, graduate student, Program in Hydrologic Sciences,
>> University of Nevada, Reno.
>> Matt Reeves, graduate student, Program in Hydrologic Sciences,
>> University of Nevada, Reno.
>> Charles Tadjeran, Postdoctoral Research Assistant, Department of
>> Mathematics & Statistics, University of Nevada, Reno.
>> Yong Zhang, Postdoctoral Research Assistant, Desart Research Institute,
>> Reno.
>> Other researchers affiliated with the Fractal Calculus Project:
>> Boris Baeumer <http://www.maths.otago.ac.nz/%7Ebbaeumer/>, Department of
>> Mathematics, University of Otago, New Zealand.
>> Peter Becker-Kern, Department of Mathematics, University of Dortmund,
>> Germany.
>> Kristen Bianchi, Department of Mathematics & Statistics, University of
>> Nevada, Reno.
>> Jeff Mortensen <http://unr.edu/homepage/jm/>, Department of Mathematics
>> & Statistics, University of Nevada, Reno.
>> Hans-Peter Scheffler
>> <http://www.mathematik.uni-dortmund.de/lsiv/scheffler/scheffler.html>,
>> Department of Mathematics & Statistics, University of Nevada, Reno.
>> Rina Schumer, PhD in Hydrology 2002 (advisor David Benson).
>> http://unr.edu/homepage/mcubed/FRG.html
>> -- 
>> Respectfully, Roger L. Bagula
>> tf...@earthlink.net, 11759Waterhill Road, Lakeside,Ca 92040-2905,tel: 619-5610814 :
>> URL : http://home.earthlink.net/~tftn
>> URL : http://victorian.fortunecity.com/carmelita/435/
> 
> good idea, you can do a project about fractional partial differential equation.
> mathHand.com solves fractional partial differential equation by clicking the dsolve and plot by clicking plot3D and test its solution by clicking the test.
> 
> http://server.drhuang.com/input/?guess=dsolve%28ds%28y%2Ct%2C0.5%29%2B2ds%28y%2Cx%2C2%29%2B4ds%28y%2Cx%2C1%29%2Bexp%28x%29*t%29&inp=ds%28y%2Ct%2C0.5%29%2B2ds%28y%2Cx%2C2%29%2B4ds%28y%2Cx%2C1%29%2Bexp%28x%29*t&lang=null
> 

Ask him over on FaceBook. I am not sure if he still runs with UseNet. 
Roger is one of my best friends.

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#2058

Chris M Thomasson
I wrote a book called "Supercalculus" in the early 90's that connected 
fractional calculus with fractal dimension. Dr. Huang started work on 
these sorts of sets about 2000 and I contacted him with interest in his work. 
I'm really getting old here, but I continue to follow the subject. 
What would be interesting is to connect Mandelbrot -Levy distributions ( as in galaxy distributions)
to a fractional calculus. My research indicated a fractional dimension near
s=3/4 ( as a Mandelbrot rational dimension)  for the Mandelbrot -Levy distribution.
A set of rational orthogonal polynomials connected to rational dimensions in Mandelbrot -Levy 
would be a nice find. 
I have watched sci-fractal posts for years and always wished there was an administrator-moderator
here. I started yahoo, google+, Microsoft, Facebook, group.io, Linked-In groups as alternatives
where spam and goblins  could be kept at a minimum. 
In the late 90's early 2000's I was attacked "here" for some of my posts ...goblins .
I don't need that sort of stress in my life.
Sci-math is a lost cause, LOL. 
Roger Lee Bagula

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#2059

On 1/1/21 7:08 AM, Roger Bagula wrote:
> Chris M Thomasson
> I wrote a book called "Supercalculus" in the early 90's that connected 
> fractional calculus with fractal dimension. Dr. Huang started work on 
> these sorts of sets about 2000 and I contacted him with interest in his work. 
> I'm really getting old here, but I continue to follow the subject. 
> What would be interesting is to connect Mandelbrot -Levy distributions ( as in galaxy distributions)
> to a fractional calculus. My research indicated a fractional dimension near
> s=3/4 ( as a Mandelbrot rational dimension)  for the Mandelbrot -Levy distribution.
> A set of rational orthogonal polynomials connected to rational dimensions in Mandelbrot -Levy 
> would be a nice find. 
> I have watched sci-fractal posts for years and always wished there was an administrator-moderator
> here. I started yahoo, google+, Microsoft, Facebook, group.io, Linked-In groups as alternatives
> where spam and goblins  could be kept at a minimum. 
> In the late 90's early 2000's I was attacked "here" for some of my posts ...goblins .
> I don't need that sort of stress in my life.
> Sci-math is a lost cause, LOL. 
> Roger Lee Bagula
> 

Usenet is a surviving chunk of the real Internet where rational
discussion can occur. Most everything else today, including social
media, is a commercial counterfeit. They are not really
"internetworked", rather controlled by a few megaliths of the military
industrial complex. I've never witnessed a solitary intelligent
discussion on any social media platform, not one, not ever. It's still
the old standbys of email discussions and Usenet for me.

Nothing anyone says makes sense any more. It's good to see that some old
schoolers are still making the rounds. Would you post some links to your
favorite works? I know I could search but I prefer direct recommends
over feeling lucky.

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#2060

On 1/1/2021 5:08 AM, Roger Bagula wrote:
> Chris M Thomasson
> I wrote a book called "Supercalculus" in the early 90's that connected
> fractional calculus with fractal dimension. Dr. Huang started work on
> these sorts of sets about 2000 and I contacted him with interest in his work.
> I'm really getting old here, but I continue to follow the subject.
> What would be interesting is to connect Mandelbrot -Levy distributions ( as in galaxy distributions)
> to a fractional calculus. My research indicated a fractional dimension near
> s=3/4 ( as a Mandelbrot rational dimension)  for the Mandelbrot -Levy distribution.
> A set of rational orthogonal polynomials connected to rational dimensions in Mandelbrot -Levy
> would be a nice find.
> I have watched sci-fractal posts for years and always wished there was an administrator-moderator
> here. I started yahoo, google+, Microsoft, Facebook, group.io, Linked-In groups as alternatives
> where spam and goblins  could be kept at a minimum.
> In the late 90's early 2000's I was attacked "here" for some of my posts ...goblins .
> I don't need that sort of stress in my life.
> Sci-math is a lost cause, LOL.
> Roger Lee Bagula
> 

Nice to see you here Roger! Usenet... The first place I met you! 
Perfect. When is Usenet going to be perma killfilled?

http://paulbourke.net/fractals/fractionalpowers

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