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Found 631 Documents (Results 1–100)

Generalized polynomial method for solving a Cauchy-type problem for one fractional differential equation. (English. Russian original) Zbl 07794031

J. Math. Sci., New York 275, No. 5, 602-612 (2023); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 176, 80-90 (2020).
MSC:  34A08 34A12 34A45
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Quasilinear equations with a sectorial set of operators at Gerasimov-Caputo derivatives. (English. Russian original) Zbl 1522.35553

Proc. Steklov Inst. Math. 321, Suppl. 1, S78-S89 (2023); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 29, No. 2, 248-259 (2023).
MSC:  35R11 35G31 34G20
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Discrete approximation of solutions of the Cauchy problem for a linear homogeneous differential-operator equation with a Caputo fractional derivative in a Banach space. (English. Russian original) Zbl 07712811

J. Math. Sci., New York 272, No. 6, 826-852 (2023); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 175, 79-104 (2020).
MSC:  65J08 34A08
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A finite-difference scheme on a graded mesh for solving Cauchy problems with a fractional Caputo derivative in a Banach space. (English. Russian original) Zbl 07712845

Russ. Math. 66, No. 11, 33-45 (2022); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2022, No. 11, 38-51 (2022).
MSC:  65-XX 34A08 34A12
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On the relationship between the solutions of an abstract Euler-Poisson-Darboux equation and fractional powers of the operator coefficient in the equation. (English. Russian original) Zbl 1496.35156

Differ. Equ. 58, No. 5, 577-592 (2022); translation from Differ. Uravn. 58, No. 5, 575-590 (2022).
MSC:  35C15 34G10 47D09
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