Adyghe Int. Sci. J. Vol. 23, No 4. P. 28-33.
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DOI: https://doi.org/10.47928/1726-9946-2023-23-4-28-33
EDN: UUZSAY
MATHEMATICS
| MSC 35A02, 35C15 | Original Article |
Boundary value problem for the loaded
McKendrick – von Foerster equation of fractional order
Fatima Mukhamedovna Losanova
Researcher, Laboratory of Synergetic Problems, Institute of Applied Mathematics and Automation, Kabardino-Balkarian Scientific Center, Russian Academy of Sciences (360000, Russia, Nalchik, Shortanova St. 89A ), ORCID https://orcid.org/0000-0002-6342-7162, losanovaf@gmail.com
Raisa Osmanovna Kenetova
Candidate of Physical and Mathematical Sciences, Head of Laboratory of Synergetic Problems, Institute of Applied Mathematics and Automation, Kabardino-Balkarian Scientific Center, Russian Academy of Sciences (360000, Russia, Nalchik, Shortanova St. 89A ), kenetova_r@mail.ru
Abstract. The paper considers the loaded McKendrick-von Foerster equation of fractional order, which characterizes the population dynamics with age structure taking migration into account. The boundary value problem in the rectangular domain is studied. The solution is found by reduction to the Volterra integral equation of the 2nd kind. The existence and uniqueness theorem of the problem under study is provedn.
Keywords: Gerasimov – Caputo derivative, loaded equation, McKendrick-von Foerster equations, Wright function, fractional equations.
Acknowledgments: the authors are thankful to the anonymous reviewer for his valuable remakes.
The authors declare no conflict of interest.
For citation. Losanova F. M., Kenetova R. O. Boundary value problem for the loaded McKendrick – von Foerster equation of fractional order. Adyghe Int. Sci. J. 2023. Vol. 23, No. 4. P. 28–33. DOI: https://doi.org/10.47928/1726-9946-2023-23-4-28-33; EDN: UUZSAY
The author has read and approved the final version of the manuscript.
Submitted 11.12.2023; approved after reviewing 15.12.2023; aeeepted for publication 20.12.2023.
© Losanova F. M.,
Kenetova R. O., 2023
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