Exponentially convergent method for a differential equation with fractional derivative and unbounded operator coefficient in Banach space

• Date: 2022
• Main Authors: Vasylyk, V. B., Gavrilyuk, I. P., Makarov , V. L., Vasylyk, Vitaliy, Василик, В. Б., Гаврилюк, I. П. , Макаров , В. Л.
• Format: Article
• Language: Ukrainian
• Published: Institute of Mathematics, NAS of Ukraine 2022
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/6984
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 519.62, 519.63 We propose and analyze an exponentially convergent numerical method for solving a differential equation with a right-hand fractional Riemann-Liouville derivative and an unbounded operator coefficient in Banach space. We apply the representation of the solution by the Danford-Cauch...