Mots-clés : partial solution
@article{MZM_2022_111_6_a4,
author = {B. Yu. Irgashev},
title = {Construction of {Partial} {Solutions} {Using} {Special} {Functions} for {Equations} with {Fractional} {Derivative}},
journal = {Matemati\v{c}eskie zametki},
pages = {864--868},
year = {2022},
volume = {111},
number = {6},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_2022_111_6_a4/}
}
B. Yu. Irgashev. Construction of Partial Solutions Using Special Functions for Equations with Fractional Derivative. Matematičeskie zametki, Tome 111 (2022) no. 6, pp. 864-868. http://geodesic.mathdoc.fr/item/MZM_2022_111_6_a4/
[1] A. M. Nakhushev, Uravneniya matematicheskoi biologii, Vysshaya shkola, M., 1995 | Zbl
[2] Yu. Luchko, R. Gorenflo, “Scale-invariant solutions of a partial differential equation of fractional order”, Fract. Calc. Appl. Anal., 1:1 (1998), 63–78 | MR | Zbl
[3] B. Yu. Irgashev, “Postroenie chastnykh reshenii s osobennostyami, vyrazhennykh cherez gipergeometricheskie funktsii, dlya uravneniya s kratnymi kharakteristikami”, Differents. uravneniya, 56:3 (2020), 328–336 | MR | Zbl
[4] A. V. Pskhu, Uravneniya v chastnykh proizvodnykh drobnogo poryadka, Nauka, M., 2005 | MR | Zbl
[5] A. Pskhu, “Fundamental solutions and Cauchy problems for an odd-order partial differential equation with fractional derivative”, Electron. J. Differential Equations, 2019 (2019), Paper No. 21 | MR | Zbl
[6] L. L. Karasheva, “Zadacha Koshi dlya parabolicheskogo uravneniya vysokogo chetnogo poryadka s drobnoi proizvodnoi po vremennoi peremennoi”, Sib. elektron. matem. izv., 15 (2018), 696–706 | DOI | MR | Zbl