Exponentially convergent method for an abstract integro - differential equation with fractional Hardy - Titchmarsh integral

نویسندگان

چکیده

A homogeneous fractional-differential equation with a fractional Hardy—Titchmarsh integral and an unbounded operator coefficient in Banach space is considered. The conditions for the representation of solution form Danford—Cauchy are established, exponentially convergent approximation method developed.

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ژورنال

عنوان ژورنال: Reports of the National Academy of Sciences of Ukraine

سال: 2021

ISSN: ['2518-153X', '1025-6415']

DOI: https://doi.org/10.15407/dopovidi2021.01.003