Existence results for Riemann–Liouville fractional evolution inclusions in Banach spaces

Autor:	El Hadi Ait Dads, Mohamed Ziane, Mohammed Benyoub
Rok vydání:	2020
Předmět:	Pure mathematics Regular measure General Mathematics Banach space Derivative Riemann liouville Mathematics Weighted space Complement (set theory)
Zdroj:	Afrika Matematika. 32:317-331
ISSN:	2190-7668 1012-9405
DOI:	10.1007/s13370-020-00828-8
Popis:	The aim of this work is to study the existence of mild solution for semi-linear fractional evolution inclusions involving Riemann–Liouville derivative in Banach space. We prove our main result by introducing a regular measure of noncompactness in weighted space of continuous functions and using the condensing multivalued maps theory. Our result improve and complement several earlier related works. An example is given to illustrate the applications of the abstract result.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::5dad9f8860dc3d93684b2c7144641f4a https://doi.org/10.1007/s13370-020-00828-8 Zobrazit plný text záznamu Full text from SpringerLink