Positive integrable solutions for nonlinear integral and differential inclusions of fractional-orders

• Autorzy: Shorouk Al-Issa , Ahmed Mohamed Ahmed El-Sayed
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

integral inclusion; fractional-calculus; Caratheodory condition; differential inclusion; fixed point theorem

• Wydawca: Polish Mathematical Society
• Czasopismo: Commentationes Mathematicae
• Rocznik: 2009
• Tom: 49
• Numer: 2

Daty

wydano

2009

online

2017-12-19

Twórcy

autor

Shorouk Al-Issa

autor

Ahmed Mohamed Ahmed El-Sayed

Identyfikatory

DOI

10.14708/cm.v49i2.5293