Note on the conformable boundary value problems: Sturm’s theorems and Green’s function
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| Format: | Artículo científico |
| Language: | en |
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Sociedad Mexicana de Física A.C.
2021
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| _version_ | 1876435147320983552 |
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| author | F Martınez |
| author_facet | F Martınez |
| contents | Note on the conformable boundary value problems: Sturm’s theorems and Green’s function F Martınez I Martınez M. K A. Kaabar S Paredes Física, Astronomía y Matemáticas Sturms theorems Green’s function conformable fractional integral Conformable fractional derivative conformable fractional differential equations 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. 2021 artículo científico 0035-001X https://www.redalyc.org/articulo.oa?id=57082948015 en http://www.redalyc.org/revista.oa?id=570 Revista Mexicana de Física application/pdf Sociedad Mexicana de Física A.C. Revista Mexicana de Física (México) Num.3 Vol.67 |
| format | Artículo científico |
| id | redalyc_57082948015 |
| institution | Redalyc |
| language | en |
| publishDate | 2021 |
| publisher | Sociedad Mexicana de Física A.C. |
| spellingShingle | Note on the conformable boundary value problems: Sturm’s theorems and Green’s function F Martınez Física, Astronomía y Matemáticas Sturms theorems Green’s function conformable fractional integral Conformable fractional derivative conformable fractional differential equations Note on the conformable boundary value problems: Sturm’s theorems and Green’s function F Martınez I Martınez M. K A. Kaabar S Paredes Física, Astronomía y Matemáticas Sturms theorems Green’s function conformable fractional integral Conformable fractional derivative conformable fractional differential equations 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. 2021 artículo científico 0035-001X https://www.redalyc.org/articulo.oa?id=57082948015 en http://www.redalyc.org/revista.oa?id=570 Revista Mexicana de Física application/pdf Sociedad Mexicana de Física A.C. Revista Mexicana de Física (México) Num.3 Vol.67 |
| title | Note on the conformable boundary value problems: Sturm’s theorems and Green’s function |
| topic | Física, Astronomía y Matemáticas Sturms theorems Green’s function conformable fractional integral Conformable fractional derivative conformable fractional differential equations |
| url | https://www.redalyc.org/articulo.oa?id=57082948015 |