Geodesic
Mixed Problem for a Loaded System of Equations with Riemann--Liouville Derivatives
Matematičeskie zametki, Tome 97 (2015) no. 3, pp. 428-439.

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

A system of two Riemann–Liouville partial differential equations with constant coefficients is studied. The existence and uniqueness theorem for the solution of the mixed problem is proved and its Green function is constructed.
Keywords: Riemann–Liouville partial differential equation, Green matrix function, fractional differentiation operator, Wright-type function, system of fractional differential equations. 
@article{MZM_2015_97_3_a10,
     author = {M. O. Mamchuev},
     title = {Mixed {Problem} for a {Loaded} {System} of {Equations} with {Riemann--Liouville} {Derivatives}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {428--439},
     publisher = {mathdoc},
     volume = {97},
     number = {3},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2015_97_3_a10/}
}
TY  - JOUR
AU  - M. O. Mamchuev
TI  - Mixed Problem for a Loaded System of Equations with Riemann--Liouville Derivatives
JO  - Matematičeskie zametki
PY  - 2015
SP  - 428
EP  - 439
VL  - 97
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_2015_97_3_a10/
LA  - ru
ID  - MZM_2015_97_3_a10
ER  - 
%0 Journal Article
%A M. O. Mamchuev
%T Mixed Problem for a Loaded System of Equations with Riemann--Liouville Derivatives
%J Matematičeskie zametki
%D 2015
%P 428-439
%V 97
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_2015_97_3_a10/
%G ru
%F MZM_2015_97_3_a10
M. O. Mamchuev. Mixed Problem for a Loaded System of Equations with Riemann--Liouville Derivatives. Matematičeskie zametki, Tome 97 (2015) no. 3, pp. 428-439. http://geodesic.mathdoc.fr/item/MZM_2015_97_3_a10/

[1] A. M. Nakhushev, Drobnoe ischislenie i ego primenenie, Fizmatlit, M., 2003

[2] M. O. Mamchuev, “Fundamentalnoe reshenie sistemy uravnenii s chastnymi proizvodnymi drobnogo poryadka”, Differents. uravneniya, 46:8 (2010), 1113–1124 | MR | Zbl

[3] M. O. Mamchuev, “Kraevye zadachi dlya sistemy differentsialnykh uravnenii s chastnymi proizvodnymi drobnogo poryadka v neogranichennykh oblastyakh”, Dokl. Adygskoi (Cherkesskoi) Mezhdunarodnoi AN, 7:1 (2003), 60–63

[4] M. O. Mamchuev, “Zadacha Koshi v nelokalnoi postanovke dlya sistemy uravnenii s chastnymi proizvodnymi drobnogo poryadka”, Differents. uravneniya, 48:3 (2012), 351–358 | MR | Zbl

[5] A. V. Pskhu, Uravneniya v chastnykh proizvodnykh drobnogo poryadka, Nauka, M., 2005 | MR | Zbl

[6] O. I. Marichev, Metody vychisleniya integralov ot spetsialnykh funktsii, Nauka i tekhnika, M., 1978 | MR | Zbl

[7] A. P. Prudnikov, Yu. A. Brychkov, O. I. Marichev, Integraly i ryady. V 3 t. T. 3. Spetsialnye funktsii. Dopolnitelnye glavy, Fizmatlit, M., 2003 | MR | Zbl