- Tytuł:
- Positive solutions of a singular fractional boundary value problem with a fractional boundary condition
- Autorzy:
-
Lyons, J. W.
Neugebauer, J. T. - Powiązania:
- https://bibliotekanauki.pl/articles/255965.pdf
- Data publikacji:
- 2017
- Wydawca:
- Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
- Tematy:
-
fractional differential equation
singular problem
fixed point - Opis:
- For α ∈ (1,2] the singular fractional boundary value problem [formula] satisfying the boundary conditions [formula] where β ∈ (0,α - 1], μ ∈ (0,α - 1], and [formula] are Riemann-Liouville derivatives of order α, β, and μ respectively, is considered. Here ƒ satisfies a local Carathéodory condition, and ƒ (t, x, y) may be singular at the value 0 in its space variable x. Using regularization and sequential techniques and Krasnosel’skii’s fixed point theorem, it is shown this boundary value problem has a positive solution. An example is given.
- Źródło:
-
Opuscula Mathematica; 2017, 37, 3; 421-434
1232-9274
2300-6919 - Pojawia się w:
- Opuscula Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł