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Computer Sciences & Mathematics Forum, Volume 4, 2022

MWFC 2022 - 7 articles

The 5th Mexican Workshop on Fractional Calculus

Monterrey, Mexico | 5–7 October 2022

Volume Editors:
Jorge M. Cruz-Duarte, Tecnologico de Monterrey, Mexico
Porfirio Toledo-Hernández, University of Veracruz, Mexico

Cover Story: The Mexican Workshop on Fractional Calculus (MWFC) is a bi-annual international workshop, and the largest Latin American technical event in the field of fractional calculus celebrated in Mexico. The focus of MWFC is to motivate brainstorming and critical discussion of ideas about abstract and non-integer operators, chaotic systems, complex behavior, and their applications in several areas. MWFC offers an ideal forum for intellectuals and curious people to present their latest research insights. In its 5th version, MWFC was held in Monterrey, one of the most influential cities in Mexico and home of the Tecnologico de Monterrey (TEC), where MWFC was hosted in a hybrid format. During the 5th MWFC, we attended six plenary talks from distinguished international scientists, two tutorials, a poster session, and four sessions of accepted talks.
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Articles (7)

  • Proceeding Paper
  • Open Access
3,468 Views
5 Pages

All possible configurations of a chaotic map without fixed points, called “nfp1”, in its implementation in fixed-point arithmetic are analyzed. As the multiplication on the computer does not follow the associative property, we analyze the...

  • Proceeding Paper
  • Open Access
3,432 Views
11 Pages

Further Remarks on Irrational Systems and Their Applications

  • Adrián-Josué Guel-Cortez,
  • César-Fernando Méndez-Barrios,
  • Diego Torres-García and
  • Liliana Félix

Irrational Systems (ISs) are transfer functions that include terms with irrational exponents. Since such systems are ubiquitous and can be seen when solving partial differential equations, fractional-order differential equations, or non-linear differ...

  • Proceeding Paper
  • Open Access
2 Citations
4,978 Views
12 Pages

Abelian Groups of Fractional Operators

  • Anthony Torres-Hernandez,
  • Fernando Brambila-Paz and
  • Rafael Ramirez-Melendez

Taking into count the large number of fractional operators that have been generated over the years, and considering that their number is unlikely to stop increasing at the time of writing this paper due to the recent boom of fractional calculus, ever...

  • Proceeding Paper
  • Open Access
1 Citations
2,229 Views
8 Pages

Diffusive predator–prey systems are well known to exhibit spatial patterns obtained by using the Turing instability mechanism. reaction–diffusion systems were already studied by replacing the time derivative with a fractional order deriva...

  • Proceeding Paper
  • Open Access
1,983 Views
6 Pages

The Cauchy problem of a time–space fractional partial differential equation which has as a particular case the damped wave equation is solved for the Dirac delta initial condition. The solution is obtained in terms of H-Fox functions and models...

  • Proceeding Paper
  • Open Access
1 Citations
2,417 Views
10 Pages

Dynamic Analysis for the Physically Correct Model of a Fractional-Order Buck-Boost Converter

  • Daniel F. Zambrano-Gutierrez,
  • Jorge M. Cruz-Duarte,
  • Gerardo Humberto Valencia-Rivera,
  • Ivan Amaya and
  • Juan Gabriel Avina-Cervantes

This work proposes a fractional-order mathematical model of a Buck-Boost converter performing in continuous conduction mode. To do so, we employ the average duty-cycle representation in state space, driven by the nonadimensionalize approach to avoid...

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Comput. Sci. Math. Forum - ISSN 2813-0324