Vestnik KRAUNC. Fiz.-Mat. Nauki. 2022. vol. 40. no. 3. pp. 111–118. ISSN 2079-6641

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MSC 26A33

Research Article

Inverse problem for McKendrick von Foerster equation with Caputo operator

F. M. Losanova

Institute of Applied Mathematics and Automation KBSC RAS, 360000, Nalchik, Shortanova str., 89A, Kabardino-Balkarian Republic, Russia

Fractional integro-differentiation operators are widely used in the study of applied problems that study mathematical models of physical and geophysical processes in fractal media. The fractional order derivative is not local, which exhibits behavior with long-term memory. Due to this, the models of dynamical systems of fractional order are more accurate than integer ones. In this paper, we consider an inverse problem for a generalized mathematical model of a biological process that characterizes the dynamics of a population with an age structure. The generalization is defined by introducing a derivative of a fractional order in the sense of Caputo into the equation.

Key words: inverse problem, McKendrick von Foerster equations, fractional derivative, fertility equation.

DOI: 10.26117/2079-6641-2022-40-3-111-118

Original article submitted: 03.11.2022

Revision submitted: 02.12.2022

For citation. Losanova F. M. Inverse problem for McKendrick von Foerster equation with Caputo operator. Vestnik KRAUNC. Fiz.-mat. nauki. 2022, 40: 3, 111-118. DOI: 10.26117/2079-6641-2022-40-3-111-118

Competing interests. The authors declare that there are no conflicts of interest regarding authorship and publication.

Contribution and Responsibility. All authors contributed to this article. Authors are solely responsible for providing the final version of the article in print. The final version of the manuscript was approved by all authors.

The content is published under the terms of the Creative Commons Attribution 4.0 International License (

© Losanova F. M., 2022


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Losanova Fatima Mukhamedovna – Researcher, Laboratory of Synergetic Problems, Institute of Applied Mathematics and Automation, Kabardino-Balkarian Scientific Center, Russian Academy of Sciences, Nalchik, Kabardino-Balkarian Republic, Russia, ORCID 0000-0002-6342-7162.