What is the basic difference between the "fractal derivative" and "fractional derivative"?

More Dr. Sanjay Kumar's questions See All

Which is the most efficient etching solution for nickel based alloys?

Which solution reveals the microstructure and features of nickel-based alloys?

02 March 2021 2,221 3 View

Which is the most convenient manufacturing software for Additive Manufacturing?

Which tools can be used to generate machine codes for additive manufacturing?

02 March 2021 7,220 2 View

Which is the best place in the world for the plant biotechnology research?

I am searching for a good place for the Post Doc,

02 March 2021 4,053 3 View

Which SAR dataset to use for generating coherency matrix and performing target decomposition (Description) ?

Working on chandrayaan-2 DFSAR data, there are three datasets available: 1) Slant range image data product: The slant range complex image file. Each pixel is represented by two 4-byte floating...

02 March 2021 8,481 3 View

How does one access the Cranet survey data on HRM practices?

Hello, The Cranet website does not provide any lead to the data obtained from their multinational survey on HRM practices. Any help on accessing the data would be most appreciated. Thank...

01 March 2021 9,536 3 View

How to remove DCU and HOBT from my reaction?

I am doing a acid and a chiral amino alcohol reaction using DCC and HOBT in DCM or THF? Can anyone suggest me how to remove DCU and HOBT from a reaction mixture??

28 February 2021 2,153 1 View

Genome-wide gene identification protocol ?

Is there any book chapter/book, webpage or research article available to understand genome-wide gene identification?

28 February 2021 8,095 1 View

Can the problems of overfitting be solved without cross validation?

For an overfit data set the cross validation error will be much bigger than the training error. Is it true or false?

23 February 2021 3,616 2 View

Research Gate Does it help researches to publicize their scientific work ?

In my opinion, the RG site is useful in solving scientific problems and shows the researcher's ability. Besides, the separation of the H-index from the self-citations and the overall index is an...

22 February 2021 3,894 6 View

How to Study a proton NMR of Graphene prepared by Electrochemical Exfoliation technique?

I performed a Proton NMR of graphene powder prepared by electrochemical exfoliation technique. It shows some peaks. But I can't understand it.

21 February 2021 8,947 3 View

Any specific pipeline or parameter to analyse total transcriptomics study of brain tissue samples?

I have two groups of brain samples, control and treated for example. It was total RNA nova seq sequencing. I tried all the available pipeline like: star+rsem+deseq2, Hista+stringtie+cuffdiff,...

27 February 2021 356 6 View

Can fractal dimension of thin film surfaces affects the electrons energy states?

As fractal dimension of a thin film surface implies the irregularity in the surface. Is it possible that the energy states of the electrons are also affected by the fractal dimension?

19 February 2021 5,509 3 View

How do you interpret theoretical vs. experimental reaction orders with respect to a reactant?

I recently came across a paper focusing on the hydrodeoxygenation of oxygen-containing compounds. The paper linearized the rate equation in order to determine the experimental reaction order with...

14 February 2021 8,254 2 View

Can I get the design of circular cylinder to fix thermocouple on the surface and cartridge heater in core ?

Respected Scientific Community. I'm interested to carry out experimental studies on a circular cylinder. But even after doing literature review I unable to get the exact design of the cylinder...

10 February 2021 6,221 1 View

Fractional derivative users, are you on the same page with me on the validity of the fractional order parameter, say alpha?

Taking a fractional ODE problem as an example. It has come to my attention that if the fractional order parameter is in the interval (0,1], many only presents results for alpha=0.9, 0.99. I saw...

08 February 2021 9,671 3 View

Infinite order of Laguerre?

If Lmn(x) is the Laguerre polynomial of order m and degree n Is there a means of computing Lmn(x) for 1) m goes to infinity 2) n goes to infinity

08 February 2021 6,320 4 View

Any recommendations for open-source survey form builder, which has option for semantic differential scale questions apart from Likert scale?

Asking this as Google forms doesn't allow multiple items in a semantic differential format.

04 February 2021 5,869 4 View

How can I implement a Generalized Estimating Equation method on spatially autocorrelated time-series data?

I used Generalized Estimating Equations (geepack in R) on my regularly monitored (twice a year) plant abundance data in grid cells to evaluate their trends of density. Since these are time-series...

26 January 2021 3,833 1 View

Should I make 2 helical antennas? One for 2.4 GHz and another for 5.8 GHz?

Should I make 2 antennas, one for 2.4 GHz and one for 5.8 GHz? How should I approach the problem if I want to design the antennas which cover 400 and 900 MHz and 2.4 and 5.8 GHz? All together in...

26 January 2021 906 3 View

How to prove possibility/impossibility to analytically solve the functional equation f(a ln x^2)/f(x)=x/2a; and how to find out the solution?

This is my very first encounter with functional equation of this kind, and methods of series solution and differential equations are of not much help. The solution to this problem, or at least the...

25 January 2021 6,053 5 View

Chetan Jesing Waghela

I was wondering same question. I think this paper might help

http://www.sciencedirect.com/science/article/pii/S0898122109005525

Dr. Sanjay Kumar

Hello Dear Chetan,,,,,

Thank U very much for Ur support....

I will definitely read this paper.........Are U a Research Scholar or Researcher??

Regards,

Dr. Sanjay Kumar.

Oh I just concidently found it on net. I have just passed MSc Physics and I am applying for PhD.

good to hear from U..........All the Best for Ur Future Endeavors.....

B.M.B. Krushna

Dear Dr. Sanjay Kumar,

In my opinion, based on an understanding of fractional calculus applied to random fractal functions and analogous application to deterministic or non-random fractals. Fractional calculus can be used to precisely change or control the fractal dimension of any random or deterministic fractal with coordinates which can be expressed as functions of one independent variable.

With best regards,

Krushna

Please refer the following:

West, Bruce J.; Bologna, Mauro; Grigolini, Paolo (2003). Physics of Fractal Operators. Springer Verlag. ISBN 0-387-95554-2.