Fractional differential equations on Lie groups and submonoids
Duduchava R. Smadiyeva A.
2026Walter de Gruyter GmbH
Georgian Mathematical Journal
2026
In the present work, we define generic fractional differential operators on Lie groups and their submonoids. Criteria of solvability and Fredholmness for fractional differential equations are established and fundamental solutions in case of operators with constant coefficients are provided. In the second part, we solve six distinct Cauchy initial value problems for degenerate diffusion equations with fractional Hadamard type derivatives in time.
Cauchy problem , Cauchy–Dirichlet problem , Cauchy–Neumann problem , the Kilbas–Saigo function , Time-fractional diffusion equation
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Institute of Mathematics and Mathematical Modeling, Al-Farabi Kazakh National University, 125 Pushkin Str., 050010, 71 Al-Farabi ave., Almaty, 050040, Kazakhstan
V. Kupradze Institute of Mathematics, University of Georgia, A. Razmadze Mathematical Institute, Javakhishvili Tbilisi State University, 77a Kostava str., 0171, 2 M. Aleksidze II Lane, Tbilisi, 0193, Georgia
Institute of Mathematics and Mathematical Modeling
V. Kupradze Institute of Mathematics
10 лет помогаем публиковать статьи Международный издатель
Книга Публикация научной статьи Волощук 2026 Book Publication of a scientific article 2026