Exponentially convergent method for an abstract integro - differential equation with fractional Hardy - Titchmarsh integral
DOI:
https://doi.org/10.15407/dopovidi2021.01.003Keywords:
differential equation with fractional derivatives, exponentially convergent method, unbounded operatorAbstract
A homogeneous fractional-differential equation with a fractional Hardy—Titchmarsh integral and an unbounded operator coefficient in a Banach space is considered. The conditions for the representation of the solution in the form of a Danford—Cauchy integral are established, and an exponentially convergent approximation method is developed.
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References
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