Geodesic
Fundamental solution of high order parabolic equation with variable time fractional derivative
News of the Kabardin-Balkar scientific center of RAS, no. 2 (2016), pp. 10-14.

Voir la notice de l'article provenant de la source Math-Net.Ru

In this paper we found different representations for the fundamental solution of high order parabolic equation with variable time fractional derivative.
Keywords: high order parabolic equation, Riemann-Liouville fractional derivative, fundamental solution. 
@article{IZKAB_2016_2_a1,
     author = {L. L. Karasheva},
     title = {Fundamental solution of high order parabolic equation with variable time fractional derivative},
     journal = {News of the Kabardin-Balkar scientific center of RAS},
     pages = {10--14},
     publisher = {mathdoc},
     number = {2},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IZKAB_2016_2_a1/}
}
TY  - JOUR
AU  - L. L. Karasheva
TI  - Fundamental solution of high order parabolic equation with variable time fractional derivative
JO  - News of the Kabardin-Balkar scientific center of RAS
PY  - 2016
SP  - 10
EP  - 14
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IZKAB_2016_2_a1/
LA  - ru
ID  - IZKAB_2016_2_a1
ER  - 
%0 Journal Article
%A L. L. Karasheva
%T Fundamental solution of high order parabolic equation with variable time fractional derivative
%J News of the Kabardin-Balkar scientific center of RAS
%D 2016
%P 10-14
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IZKAB_2016_2_a1/
%G ru
%F IZKAB_2016_2_a1
L. L. Karasheva. Fundamental solution of high order parabolic equation with variable time fractional derivative. News of the Kabardin-Balkar scientific center of RAS, no. 2 (2016), pp. 10-14. http://geodesic.mathdoc.fr/item/IZKAB_2016_2_a1/

[1] A. M. Nakhushev, Uravneniya matematicheskoi biologii, Vyssh. shk., M., 1995, 301 pp.

[2] A. V. Pskhu, “Fundamentalnoe reshenie diffuzionno-volnovogo uravneniya drobnogo poryadka”, Izv. RAN: Ser. matem., 73:2 (2009), 141–182 | MR | Zbl

[3] O. P. Agrawal, “A general solution for a fourth-order fractional diffusion-wave equation defined in a bounded domain”, Computers and Structures, 79 (2001), 1497–1501 | DOI | MR

[4] A. A. Kilbas, H. M. Srivastava, J. J. Trujillo, Theory and applications of fractional differential equations, North-Holland Math. Studies, 204, 2006, 540 pp. | MR | Zbl

[5] A. V. Pskhu, Uravneniya v chastnykh proizvodnykh drobnogo poryadka, Nauka, M., 2005, 199 pp.

[6] L. L. Karasheva, “Zadacha Koshi dlya parabolicheskogo uravneniya vysokogo poryadka s proizvodnoi Rimana-Liuvillya po vremennoi peremennoi”, Doklady Adygskoi (Cherkesskoi) Mezhdunarodnoi akademii nauk, 15:2 (2013), 40–43