Existence and $\delta $-Approximate solution of implicit fractional pantograph equations in the frame of Hilfer-Katugampola operator
نویسندگان
چکیده
The major goal of this research paper is to investigate the existence and uniqueness an implicit fractional pantograph equation in frame Hilfer-Katugampola operator on finite interval $[a,b]$ with mixed nonlocal conditions. Our analysis solutions depends some fixed point theorems such as Banach Krasnoselskii. Moreover, we discuss dependence conditions by means $\delta $-approximated solution. As application, provide example illustrate validity our results.
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ژورنال
عنوان ژورنال: Journal of fractional calculus and nonlinear systems
سال: 2021
ISSN: ['2709-9547']
DOI: https://doi.org/10.48185/jfcns.v2i1.59