Asymptotic Stability of Nonlinear Discrete Fractional Pantograph Equations with Non-Local Initial Conditions
نویسندگان
چکیده
Pantograph, the technological successor of trolley poles, is an overhead current collector electric bus, trains, and trams. In this work, we consider discrete fractional pantograph equation form ???[k](t)=wt+?,k(t+?),k(?(t+?)), with condition k(0)=p[k] for t?N1??, 0<??1, ??(0,1) investigate properties asymptotic stability solutions. We will prove main results by aid Krasnoselskii’s generalized Banach fixed point theorems. Examples involving algorithms illustrated graphs are presented to demonstrate validity our theoretical findings.
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ژورنال
عنوان ژورنال: Symmetry
سال: 2021
ISSN: ['0865-4824', '2226-1877']
DOI: https://doi.org/10.3390/sym13030473