- Tytuł:
- Monotone method for Riemann-Liouville multi-order fractional differential systems
- Autorzy:
- Denton, Z.
- Powiązania:
- https://bibliotekanauki.pl/articles/254754.pdf
- Data publikacji:
- 2016
- Wydawca:
- Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
- Tematy:
-
fractional differential systems
multi-order systems
lower and upper solutions
monotone method - Opis:
- In this paper we develop the monotone method for nonlinear multi-order N-systems of Riemann-Liouville fractional differential equations. That is, a hybrid system of nonlinear equations of orders qi where 0 < qi < 1. In the development of this method we recall any needed existence results along with any necessary changes. Through the method's development we construct a generalized multi-order Mittag-Leffler function that fulfills exponential-like properties for multi-order systems. Further we prove a comparison result paramount for the discussion of fractional multi-order inequalities that utilizes lower and upper solutions of the system. The monotone method is then developed via the construction of sequences of linear systems based on the upper and lower solutions, and are used to approximate the solution of the original nonlinear multi-order system.
- Źródło:
-
Opuscula Mathematica; 2016, 36, 2; 189-206
1232-9274
2300-6919 - Pojawia się w:
- Opuscula Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł