Serviços Personalizados
Journal
Artigo
Indicadores
- Citado por SciELO
- Acessos
Links relacionados
- Similares em SciELO
Compartilhar
Revista mexicana de física
versão impressa ISSN 0035-001X
Resumo
MARTINEZ, F.; MARTINEZ, I.; KAABAR, M. K. A. e PAREDES, S.. Note on the conformable boundary value problems: Sturm’s theorems and Green’s function. Rev. mex. fis. [online]. 2021, vol.67, n.3, pp.471-481. Epub 21-Fev-2022. ISSN 0035-001X. https://doi.org/10.31349/revmexfis.67.47.
Recently, the conformable derivative and its properties have been introduced. In this paper, we propose and prove some new results on conformable Boundary Value Problems. First, we introduce a conformable version of classical Sturm’s separation, and comparison theorems. For a conformable Sturm-Liouville problem, Green’s function is constructed, and its properties are also studied. In addition, we propose the applicability of the Green’s Function in solving conformable inhomogeneous linear differential equations with homogeneous boundary conditions, whose associated homogeneous boundary value problem has only trivial solution. Finally, we prove the generalized Hyers-Ulam stability of the conformable inhomogeneous boundary value problem.
Palavras-chave : Conformable fractional derivative; conformable fractional integral; conformable fractional differential equations; Sturm´s theorems; Green’s function.