Caputo-Katugampola-type implicit fractional differential equation with anti-periodic boundary conditions

نویسندگان

چکیده

The given article describes the implicit fractional dierential equation with anti-periodic boundary conditionsin frame of Caputo-Katugampola derivative. We obtain an analogous integral thegiven problem and prove existence uniqueness results such a using Banach andKrasnoselskii xed point theorems. Further, by applying generalized Gronwall inequality, Ulam-Hyersstability are discussed. To show eectiveness acquired results, convenient examples arepresented.

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ژورنال

عنوان ژورنال: Results in nonlinear analysis

سال: 2022

ISSN: ['2636-7556']

DOI: https://doi.org/10.53006/rna.974148