Zobrazeno 1 - 10
of 25
pro vyhledávání: '"Daniel Cao Labora"'
Publikováno v:
Electronic Journal of Differential Equations, Vol 2020, Iss 15,, Pp 1-16 (2020)
In this work, through the application of fixed point theory, we consider the properties of the solutions to a nonlocal boundary value problem for fractional differential equations subject to impulses at fixed times. We compute the Green's function
Externí odkaz:
https://doaj.org/article/15dc11010e7944c688d6b57b3ba97f95
Publikováno v:
Mathematics, Vol 9, Iss 4, p 314 (2021)
This manuscript focuses on one of the most famous open problems in mathematics, namely the Collatz conjecture. The first part of the paper is devoted to describe the problem, providing a historical introduction to it, as well as giving some intuitive
Externí odkaz:
https://doaj.org/article/41f2ac5a88c64b57bc41a52717c05158
Publikováno v:
Mathematics, Vol 8, Iss 11, p 1953 (2020)
We find sufficient conditions for the unique solution of certain second-order boundary value problems to have a constant sign. To this purpose, we use the expression in terms of a Green’s function of the unique solution for impulsive linear periodi
Externí odkaz:
https://doaj.org/article/3ff9e0f0641d496c8a17f4a4568e6e61
Autor:
Daniel Cao Labora
Publikováno v:
Mathematics, Vol 8, Iss 7, p 1093 (2020)
One major question in Fractional Calculus is to better understand the role of the initial values in fractional differential equations. In this sense, there is no consensus about what is the reasonable fractional abstraction of the idea of “initial
Externí odkaz:
https://doaj.org/article/d2426a4f0d0f4b65b54da6d7db920dc6
Publikováno v:
Mathematics, Vol 8, Iss 2, p 289 (2020)
This manuscript reanalyses the Bagley−Torvik equation (BTE). The Riemann−Liouville fractional differential equation (FDE), formulated by R. L. Bagley and P. J. Torvik in 1984, models the vertical motion of a thin plate immersed in a Newtonian flu
Externí odkaz:
https://doaj.org/article/25aa15b7f7354deabe55e973e654cd73
Publikováno v:
Mathematics, Vol 8, Iss 2, p 156 (2020)
This manuscript provides some results concerning the sign of solutions for linear fractional integral equations with constant coefficients. This information is later used to prove the existence of solutions to some nonlinear problems, together with u
Externí odkaz:
https://doaj.org/article/4bc2ef2012e44a92bf2bd9963a6f331f
Publikováno v:
Fractional Calculus and Applied Analysis. 23:1329-1348
Autor:
Daniel Cao Labora
Publikováno v:
The American Mathematical Monthly. 127:547-553
Homeomorphisms are one of the main objects of study in topology and, hence, it is interesting to provide conditions that ensure that a map between topological spaces is a homeomorphism. Some exampl...
Time-fractional dependence of the shear force in some beam type problems with negative Young modulus
Publikováno v:
Applied Mathematical Modelling. 80:668-682
Under the Euler–Lagrange equation, a time-fractional dependence for the shear force in a beam in the absence of a transverse load is analysed. The main assumption is that the beam is composed by a material with a negative Young modulus. The existen