Study of time fractional order problems with proportional delay and controllability term via fixed point approach

Autor: Muhammad Sher, Kamal Shah, Zareen A. Khan
Jazyk: angličtina
Rok vydání: 2021
Předmět:
Zdroj: AIMS Mathematics, Vol 6, Iss 5, Pp 5387-5396 (2021)
Druh dokumentu: article
ISSN: 2473-6988
DOI: 10.3934/math.2021317?viewType=HTML
Popis: In the current manuscript, we are tying to study one of the important class of differential equations known is evolution equations. Here, we considered the problem under controllability term and with proportional delay. Before going to numerical or analytical solution it is important to check the existence and uniqueness of the solution. So, we will consider our problem for qualitative theory using fixed point theorems of Banach's and Krasnoselskii's type. For numerical solution the stability is important, hence the problem is also studied for Ulam-Hyer's type stability. At the end an example is constructed to ensure the establish results.
Databáze: Directory of Open Access Journals