Note on the conformable boundary value problems: Sturm’s theorems and Green’s function
Document title: Note on the conformable boundary value problems: Sturm’s theorems and Green’s function
Journal: Revista mexicana de física
Database: PERIÓDICA
System number: 000447176
ISSN: 0035-001X
Authors: 1
1
2
1
Institutions: 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
Year:
Season: May-Jun
Volumen: 67
Number: 3
Pages: 471-481
Country: México
Language: Inglés
Document type: Artículo
Approach: Analítico, teórico
English abstract 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
Disciplines: Física y astronomía
Keyword: 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
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