Nonlocal (In Time) Problem for the Evolutionary Equation with Fractional Differential Operator

Nonlocal (In Time) Problem for the Evolutionary Equation with Fractional Differential Operator

We establish the correct solvability of a multipoint nonlocal (in time) problem for the evolutionary equation with operator of fractional differentiation and an initial function, which is an element of the space of generalized functions of the distribution type. The analytic representation of the so...

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Veröffentlicht in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2023-06, Vol.273 (2), p.181-205
Hauptverfasser: Horodets’kyi, V. V., Kolisnyk, R. S., Shevchuk, N. M.
Format: Artikel
Sprache:eng
Schlagworte:
Differential equations
Mathematical analysis
Mathematics
Mathematics and Statistics
Operators (mathematics)
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Zusammenfassung:We establish the correct solvability of a multipoint nonlocal (in time) problem for the evolutionary equation with operator of fractional differentiation and an initial function, which is an element of the space of generalized functions of the distribution type. The analytic representation of the solution is presented. We also analyze the behavior of the solution in the case of unlimited growth of the time variable (stabilization of the solution).
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-023-06493-z