- Tytuł:
- A class of nonlocal integrodifferential equations via fractional derivative and its mild solutions
- Autorzy:
-
Wang, J.
Yan, X.
Zhang, X. H.
Wang, T. M
Li, X. Z. - Powiązania:
- https://bibliotekanauki.pl/articles/255673.pdf
- Data publikacji:
- 2011
- Wydawca:
- Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
- Tematy:
-
integrodifferential equations
fractional derivative
nonlocal conditions
resolvent operator and their norm continuity
fixed point theorem
mild solutions - Opis:
- In this paper, we discuss a class of integrodifferential equations with nonlocal conditions via a fractional derivative of the type: [formula]. Some sufficient conditions for the existence of mild solutions for the above system are given. The main tools are the resolvent operators and fixed point theorems due to Banach's fixed point theorem, Krasnoselskii's fixed point theorem and Schaefer's fixed point theorem. At last, an example is given for demonstration.
- Źródło:
-
Opuscula Mathematica; 2011, 31, 1; 119-135
1232-9274
2300-6919 - Pojawia się w:
- Opuscula Mathematica
- Dostawca treści:
- Biblioteka Nauki