| Revue: | Revista mexicana de física |
| Base de datos: | PERIÓDICA |
| Número de sistema: | 000447176 |
| ISSN: | 0035-001X |
| Autores: | Martínez, F1 Martínez, I1 Kaabar, M.K.A2 Paredes, S1 |
| Instituciones: | 1Universidad Tecnológica de Cartagena, Departamento de Matemáticas Aplicadas y Estadística, Cartagena, Murcia. España 2Washington State University, Department of Mathematics and Statistics, Pullman, Washington. Estados Unidos de América |
| Año: | 2021 |
| Periodo: | May-Jun |
| Volumen: | 67 |
| Número: | 3 |
| Paginación: | 471-481 |
| País: | México |
| Idioma: | Inglés |
| Tipo de documento: | Artículo |
| Enfoque: | Analítico, teórico |
| Resumen en inglés | 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 |
| Disciplinas: | Física y astronomía |
| Palabras clave: | Física, Derivada fraccionaria conforme, Integral fraccionaria conforme, Ecuaciones diferenciales fraccionarias conformables, Teoremas de Sturm |
| Keyword: | Green function, Physics, Conformable fractional derivative, Conformable fractional integral, Conformable fractional differential equations, Sturm´s theorems |
| Texte intégral: | Texto completo (Ver HTML) Texto completo (Ver PDF) |
