Weak and pseudo-solutions of an arbitrary (fractional) orders differential equation in nonreflexive Banach space

In this paper, we establish some existence results of weak solutions and pseudo-solutions for the initial value problem of the arbitrary (fractional) orders differential equation \[ %\frac{dx}{dt}~=~ f(t,D^\gamma x(t)),~\gamma \in (0,1), ~~t~\in~I=[0,T] %\] \begin{eqnarray*}\label{2} \hspace{-3cm}\f...

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Bibliographic Details
Main Authors: H. H. G. Hashem, A. M. A. El-Sayed, Maha A. Alenizi
Format: Article
Language:English
Published: AIMS Press 2021-10-01
Series:AIMS Mathematics
Subjects:
Online Access:https://www.aimspress.com/article/10.3934/math.2021004/fulltext.html