- Tytuł:
- Existence of solutions for a four-point boundary value problem of a nonlinear fractional differential equation
- Autorzy:
-
Dou, X.
Li, Y.
Liu, P. - Powiązania:
- https://bibliotekanauki.pl/articles/255738.pdf
- Data publikacji:
- 2011
- Wydawca:
- Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
- Tematy:
-
four-point boundary value problem
Riemann-Liouville fractional derivative
Green's functions
Schauder fixed point theorem - Opis:
- In this paper, we discuss a four-point boundary value problem for a nonlinear differential equation of fractional order. The differential operator is the Riemann-Liouville derivative and the inhomogeneous term depends on the fractional derivative of lower order. We obtain the existence of at least one solution for the problem by using the Schauder fixed-point theorem. Our analysis relies on the reduction of the problem considered to the equivalent Fredholm integral equation.
- Źródło:
-
Opuscula Mathematica; 2011, 31, 3; 359-372
1232-9274
2300-6919 - Pojawia się w:
- Opuscula Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł