Is there any geometrical relation between fractional calculus and fractal ?

More P. Baliarsingh's questions See All

How to plot the surface $z=\sum_{n=0}^100 x^{2-n}y^{n/2}$ for $0<x,y<10$ in MATLAB ?

How to plot the surface $z= f(x,y)=\sum_{n=0}^100 x^{2-n}y^{n/2}$ for $0

05 June 2018 350 7 View

As we know that the double sequence $x_{mn}$ represents an infinite matrix, in the similar way how we represent a triple sequence $x_{lmn} $ ?

How we represent a triple sequence?

08 September 2017 9,206 2 View

How could we represent a four dimensional identity matrix ?

As we know $I A=A$, where $A$ is a two dimensional matrix of order n and $I$ is the two dimensional identity matrix of order n, which contains 1 as diagonal positions and zero otherwise. If we...

06 July 2015 6,725 10 View

Is there any name of a matrix with all elements above super diagonal position at zero?

If a matrix has all elements in the lower triangular and the superdiagonal positions are non zero and zero otherwise, then can I name it?

31 December 2014 5,462 6 View

What is the limiting value of (sin x)^x as x tends to 0 ?

11 December 2014 1,251 0 View

Is there any formula to find the nth root of a Matrix ?

We know square root of a matrix, but in general what is the fractional and non-integral power of a non zero matrix ?

08 September 2014 4,455 1 View

What is the use of Kernel in integral transform ?

What is the meaning of Kernel in integral transform and is there any physical significance of it ?

07 August 2014 1,584 1 View

What is the time complexity for the inversion and determinant of a triangular matrix of order n?

By backward and forward substitutions we calculate the inverse of a triangle. How far is it better than the determinant method concerning the running time?

03 April 2014 5,536 5 View

Is there any series expression of the Euler gamma function?

Although there are many singularities of Euler gamma function in negative real axis, but for the positive axis the function is well defined.

02 March 2014 2,485 9 View

Does Laplace transform of e^{t^2} exist ?

Although, the function e^{t^2} is not exponentially bounded and due to linearity of Laplace transform we may write L {(e^{t^2}}=L{1+t^2+(t^4)/2!+(t^6)/3!+....}...

01 February 2014 3,543 4 View

What is the difference between mathematical R^4 space and physical 4D unit space?

We assume that the difference is huge and that it is not possible to compare the two spaces. The R^4 mathematical space considers time as an external controller and the space itself is immobile in...

10 August 2024 6,678 14 View

All math can be explained by iterator of code?

all math can be traversed by code? all math can be translate to code?

26 July 2024 9,530 0 View

Can we eliminate the stress singularity at the tip of the crack by manipulating the elastic constants?

The aim of the research here is to prevent the propagation of the crack in the fabricated elastic medium with useful applications.

25 July 2024 9,976 3 View

How can I extract the mathematical equation from existing Neural Network Model?

There exists a neural network model designed to predict a specific output, detailed in a published article. The model comprises 14 inputs, each normalized with minimum and maximum parameters...

14 July 2024 2,714 3 View

Does anyone know, any conference related to "mathematical data compression" topic?

Please suggest me, I want to present my research work.

13 July 2024 1,461 1 View

How i can calculate mathematically COD concentration if i add 1gr from glucose to 1 L distilled water ?

how i can calculate mathematically COD concentration if i add 1gr from glucose to 1 L distilled water

08 July 2024 9,104 2 View

What is the difference between Caputo fractional derivative and conformable fractional derivative?

While working on fractional order derivatives I found the behavior of conformable derivative is different from Caputo fractional derivative. Therefore, I want to know the difference between these...

08 July 2024 4,057 1 View

Interested in Postdoc position in Mathematics at IMI-BAS BG?

Computational topology of solitons The well-established research area of algebraic topology currently goes interdisciplinary with computer science in many directions. The Topological Data Analysis...

08 July 2024 2,816 0 View

Reality Bounded VS Mathematical Bounded toward interpreting mathematic solution?

btw have u ever know about math bounded and reality bounded? for example it happen when student interpret the solution of problem toward mathematics. if you have experience or research about that,...

03 July 2024 6,631 2 View

My new vision on “time duality” in heat and wave equations. How can we catch their solutions and qualitative properties?

Greetings mathematicians and physicists, As we know, the idea of assuming a higher space dimension than the natural 3 dimension is effective in solving many physical and mathematical...

29 June 2024 9,220 6 View

R. C. Mittal

As such there is no geometrical relation. Fractals are having fractional dimension , in general continuous and not differential because of self-similarity. Fractional derivatives are obtained through Riemann or Caputo etc integration.

Adil AL-Rammahi

I prefer to read the fractional calculus in physics problems where the order of derivative be fractional number.

P. Baliarsingh

Thanks Prof. Stoica.