- Tytuł:
- Positive integrable solutions for nonlinear integral and differential inclusions of fractional-orders
- Autorzy:
-
Al-Issa, Shorouk
El-Sayed, Ahmed Mohamed Ahmed - Powiązania:
- https://bibliotekanauki.pl/articles/746526.pdf
- Data publikacji:
- 2009
- Wydawca:
- Polskie Towarzystwo Matematyczne
- Tematy:
-
integral inclusion
fractional-calculus
Caratheodory condition
differential inclusion
fixed point theorem - Opis:
- In this paper we study the global existence of positive integrable solution for the nonlinear integral inclusion of fractional order \[ x(t) \in p(t) + I^\alpha F_1 (t, I^\beta f_2 (t, x(\varphi(t)))),\quad t \in (0, 1). \] As an application the global existence of the solution for the initial-value problem of the arbitrary (fractional) orders differential inclusion \[ \frac{dx(t)}{dt}\in p(t)+ I^\alphaF_1(t,D^\gammax(t))),\quad \text{a.e.}\ t gt 0 \] will be studied.
- Źródło:
-
Commentationes Mathematicae; 2009, 49, 2
0373-8299 - Pojawia się w:
- Commentationes Mathematicae
- Dostawca treści:
- Biblioteka Nauki
Artykuł