Results 241 to 250 of about 317,311 (293)

Fractal calculus of variations for problems with constraints

Modern Physics Letters A
In this paper, we present a summary of fractal calculus and propose the use of Lagrange multipliers for both fractal calculus and fractal variational calculus with constraints.
A. Golmankhaneh, Carlo Cattani, R. Pasechnik, Shigeru Furuichi, Palle E. T. Jorgensen   +4 more
semanticscholar   +3 more sources

Fractal calculus involving gauge function

Communications in Nonlinear Science and Numerical Simulation, 2016
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Alireza K. Golmankhaneh, Dumitru Baleanu
openaire   +4 more sources

CALCULUS ON FRACTAL SUBSETS OF REAL LINE — II: CONJUGACY WITH ORDINARY CALCULUS

Fractals, 2011
Calculus on fractals, or Fα-calculus, developed in a previous paper, is a calculus based fractals F ⊂ R, and involves Fα-integral and Fα-derivative of orders α, 0 < α ≤ 1, where α is the dimension of F. The Fα-integral is suitable for integrating functions with fractal support of dimension α, while the Fα-derivative enables us to differentiate ...
Parvate, Abhay, Gangal, A. D.
openaire   +4 more sources

A tutorial introduction to the two-scale fractal calculus and its application to the fractal Zhiber-Shabat oscillator

Fractals, 2021
Jihuan He, Y. El‐Dib
semanticscholar   +3 more sources

Fractal Calculus and its Applications

, 2022
A. Golmankhaneh
semanticscholar   +2 more sources

Modeling tumor growth using fractal calculus: Insights into tumor dynamics

Biosyst., 2023
Important concepts like fractal calculus and fractal analysis, the sum of squared residuals, and Aikaike's information criterion must be thoroughly understood in order to correctly fit cancer-related data using the proposed models.
Amirreza Khalili Golmankhaneh, Sümeyye Tunç, Agnieszka Matylda Schlichtinger, Dachel Martínez Asanza, A. Golmankhaneh   +4 more
semanticscholar   +1 more source

The generalized nonlocal fractal calculus: an efficient tool for fractal circuit analysis

Compel, 2023
Purpose The purpose of this paper is to propose a novel nonlocal fractal calculus scheme dedicated to the analysis of fractal electrical circuit, namely, the generalized nonlocal fractal calculus.
R. Banchuin
semanticscholar   +1 more source

Nonlocal fractal calculus based analyses of electrical circuits on fractal set

Compel, 2021
Purpose The purpose of this paper is to present the analyses of electrical circuits with arbitrary source terms defined on middle b cantor set by means of nonlocal fractal calculus and to evaluate the appropriateness of such unconventional calculus ...
R. Banchuin
semanticscholar   +1 more source

On the Lipschitz condition in the fractal calculus

Chaos, Solitons and Fractals, 2017
A. Golmankhaneh, C. Tunç
semanticscholar   +3 more sources

On the test of novel constitutive relation of capacitor for electrical circuit analysis: a fractal calculus-based approach

Compel, 2022
Purpose The purpose of this paper is to test the capability to properly analyze the electrical circuits of a novel constitutive relation of capacitor.
R. Banchuin
semanticscholar   +1 more source