Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles, Tome 32 (2007) no. 1
Citer cet article
B. Stanković. A method to solve an equation with left and right fractional derivatives. Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles, Tome 32 (2007) no. 1. http://geodesic.mathdoc.fr/item/BASS_2007_32_1_a4/
@article{BASS_2007_32_1_a4,
author = {B. Stankovi\'c},
title = {A method to solve an equation with left and right fractional derivatives},
journal = {Bulletin de l'Acad\'emie serbe des sciences. Classe des sciences math\'ematiques et naturelles},
pages = {59 - 67},
year = {2007},
volume = {32},
number = {1},
url = {http://geodesic.mathdoc.fr/item/BASS_2007_32_1_a4/}
}
TY - JOUR
AU - B. Stanković
TI - A method to solve an equation with left and right fractional derivatives
JO - Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles
PY - 2007
SP - 59
EP - 67
VL - 32
IS - 1
UR - http://geodesic.mathdoc.fr/item/BASS_2007_32_1_a4/
ID - BASS_2007_32_1_a4
ER -
%0 Journal Article
%A B. Stanković
%T A method to solve an equation with left and right fractional derivatives
%J Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles
%D 2007
%P 59 - 67
%V 32
%N 1
%U http://geodesic.mathdoc.fr/item/BASS_2007_32_1_a4/
%F BASS_2007_32_1_a4
We give a procedure to find a solution to the
equation $D^{\alpha } _{b^{-}} D^{\alpha }_{0^{+}} y(x) + mD^{\alpha
} _{0^{+}} D^{\alpha }_{b^{-}} y = C_{0}(x), \; 0 x b, \; 0
\alpha 1,$ solving the corresponding Fredholm integral equation of
the second kind.
