| Title | Exponentially convergent method for an abstract integro - differential equation with fractional Hardy - Titchmarsh integral |
| Publication Type | Journal Article |
| Year of Publication | 2021 |
| Authors | Makarov, VL, Gawriljuk, IP, Vasylyk, VB |
| Abbreviated Key Title | Dopov. Nac. akad. nauk Ukr. |
| DOI | 10.15407/dopovidi2021.01.003 |
| Issue | 1 |
| Section | Mathematics |
| Pagination | 3-8 |
| Date Published | 2/2021 |
| Language | Ukrainian |
| Abstract | 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. |
| Keywords | differential equation with fractional derivatives, exponentially convergent method, unbounded operator |
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