Candelario Villalona, Giro Guillermo; Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón; Vassileva, Maria P.(Elsevier, 2022-02)
[EN] In recent papers, some fractional Newton-type methods have been proposed by using the Riemann-Liouville and Caputo fractional derivatives in their iterative schemes, with order 2 alpha or 1+alpha. In this manuscript, ...
Candelario-Villalona, Giro Guillermo; Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón; Vassileva, María P.(Springer-Verlag, 2023-07)
[EN] In a recent paper, a conformable fractional Newton-type method was proposed for solving nonlinear equations. This method involves a lower computational cost compared to other fractional iterative methods. Indeed, the ...
Candelario Villalona, Giro Guillermo(Universitat Politècnica de València, 2023-06-16)
[ES] El cálculo fraccionario es una extensión del cálculo clásico, donde el orden de las derivadas o integrales es un número real. Hoy en día, el cálculo fraccionario tiene numerosas aplicaciones en ciencias e ingeniería. ...
[EN] In the recent literature, some fractional one-point Newton-type methods have been
proposed in order to find roots of nonlinear equations using fractional derivatives. In this paper,
we introduce a new fractional ...
Candelario, Giro; Cordero Barbero, Alicia; Torregrosa Sánchez, Juan Ramón; Vassileva, María P.(MDPI AG, 2023-06-03)
[EN] In recent years, some Newton-type schemes with noninteger derivatives have been proposed for solving nonlinear transcendental equations by using fractional derivatives (Caputo and Riemann-Liouville) and conformable ...