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JOURNALS // Chelyabinskiy Fiziko-Matematicheskiy Zhurnal // Archive

Chelyab. Fiz.-Mat. Zh., 2019 Volume 4, Issue 4, Pages 445–460 (Mi chfmj159)

Mathematics

Entire and analytical solutions of abstract degenerate fractional differential equations

M. Kostić

University of Novi Sad, Novi Sad, Serbia

Abstract: We are primarily concerned with the study of entire and analytical solutions of abstract degenerate (multi-term) fractional differential equations with Caputo time-fractional derivatives. We also analyze systems of such equations and furnish several illustrative examples to demonstrate usage of obtained theoretical results.

Keywords: abstract degenerate differential equation, Volterra integro-differential equation, fractional differential equation, entire solution, analytical solution, well-posedness.

UDC: 517.955+517.986.7

Received: 12.08.2019
Revised: 21.10.2019

Language: English

DOI: 10.24411/2500-0101-2019-14408



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