Controllability of fractional differential evolution equation of order γ∈(1,2) with nonlocal conditions

Autor: Sadam Hussain, Muhammad Sarwar, Kottakkaran Sooppy Nisar, Kamal Shah
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: AIMS Mathematics, Vol 8, Iss 6, Pp 14188-14206 (2023)
Druh dokumentu: article
ISSN: 2473-6988
DOI: 10.3934/math.2023726?viewType=HTML
Popis: This paper investigates the existence of positive mild solutions and controllability for fractional differential evolution equations of order with nonlocal conditions in Banach spaces. Our approach is based on Schauder's fixed point theorem, Krasnoselskii's fixed point theorem, and the Arzelà-Ascoli theorem. Finally, we include an example to verify our theoretical results.
Databáze: Directory of Open Access Journals