- Tytuł:
- Upper and lower solutions method for partial discontinuous fractional differential inclusions with not instantaneous impulses
- Autorzy:
-
Abbas, Saïd
Benchohra, Mouffak
Abdalla Darwish, Mohamed - Powiązania:
- https://bibliotekanauki.pl/articles/729578.pdf
- Data publikacji:
- 2016
- Wydawca:
- Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
- Tematy:
-
fractional differential inclusion
left-sided mixed Riemann-Liouville integral
Caputo fractional order derivative
upper solution
lower solution
extremal solution
fixed point
Banach algebras
not instantaneous impulses - Opis:
- In this paper, we use the upper and lower solutions method combined with a fixed point theorem for multivalued maps in Banach algebras due to Dhage for investigations of the existence of solutions of a class of discontinuous partial differential inclusions with not instantaneous impulses. Also, we study the existence of extremal solutions under Lipschitz, Carath´eodory and certain monotonicity conditions
- Źródło:
-
Discussiones Mathematicae, Differential Inclusions, Control and Optimization; 2016, 36, 2; 155-179
1509-9407 - Pojawia się w:
- Discussiones Mathematicae, Differential Inclusions, Control and Optimization
- Dostawca treści:
- Biblioteka Nauki
Artykuł