Results 221 to 230 of about 224,342 (242)

A generalized fractional model for one-step identification of membrane filtration clogging mechanisms. [PDF]

open access: yesSci Rep
Cherifi L   +9 more
europepmc   +1 more source

Fractal calculus approach to diffusion on fractal combs

open access: yesChaos, Solitons and Fractals, 2023
In this paper, we present a generalization of diffusion on fractal combs using fractal calculus. We introduce the concept of a fractal comb and its associated staircase function.
Alireza K. Golmankhaneh   +1 more
exaly   +2 more sources

Sumudu transform in fractal calculus

open access: yesApplied Mathematics and Computation, 2019
The C-eta-Calculus includes functions on fractal sets, which are not differentiable or integrable using ordinary calculus. Sumudu transforms have an important role in control engineering problems because of preserving units, the scaling property of ...
Alireza K. Golmankhaneh, Cemil Tunç
exaly   +2 more sources

Fractal calculus involving gauge function

open access: yesCommunications in Nonlinear Science and Numerical Simulation, 2016
Henstock-Kurzweil integral or gauge integral is the generalization of the Riemann integral. The functions which are not integrable because of singularity in the senses of Lebesgue or Riemann are gauge integrable.In this manuscript, we have generalized Fα-
Dumitru Baleanu   +2 more
exaly   +2 more sources

Fractal Calculus of Variations: A New Framework

open access: yesAnalysis and Mathematical Physics
In this paper, we give a short summary of fractal calculus. We introduce the concept of fractal variation of calculus and derive the general form of the fractal Euler equation, along with an alternate form.
Alireza K. Golmankhaneh   +2 more
exaly   +2 more sources

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