Geodesic
The Hight Order Lane-Emden Fractional Differential System: Existence, Uniqueness and Ulam Type Stabilities
Kragujevac Journal of Mathematics, Tome 40 (2016) no. 2, p. 238 .

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

In this paper, by considering a more general Lane-Emden system of high order fractional differential equations with two arbitrary orders in each equation, we obtain some results on the existence and uniqueness of solutions using some fixed point theorems. Furthermore, we define and study some types of Ulam stability. Some examples are presented to illustrate the main results.
Classification : 30C45 39B72, 39B82
Keywords: Caputo derivative, fixed point, differential equation, existence, uniqueness, Ulam-Hyers stability, generalized Ulam-Hyers stability 
@article{KJM_2016_40_2_a7,
     author = {Amele Taieb and Zoubir Dahmani},
     title = {The {Hight} {Order} {Lane-Emden} {Fractional} {Differential} {System:} {Existence,} {Uniqueness} and {Ulam} {Type} {Stabilities}},
     journal = {Kragujevac Journal of Mathematics},
     pages = {238 },
     publisher = {mathdoc},
     volume = {40},
     number = {2},
     year = {2016},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KJM_2016_40_2_a7/}
}
TY  - JOUR
AU  - Amele Taieb
AU  - Zoubir Dahmani
TI  - The Hight Order Lane-Emden Fractional Differential System: Existence, Uniqueness and Ulam Type Stabilities
JO  - Kragujevac Journal of Mathematics
PY  - 2016
SP  - 238 
VL  - 40
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/KJM_2016_40_2_a7/
LA  - en
ID  - KJM_2016_40_2_a7
ER  - 
%0 Journal Article
%A Amele Taieb
%A Zoubir Dahmani
%T The Hight Order Lane-Emden Fractional Differential System: Existence, Uniqueness and Ulam Type Stabilities
%J Kragujevac Journal of Mathematics
%D 2016
%P 238 
%V 40
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/KJM_2016_40_2_a7/
%G en
%F KJM_2016_40_2_a7
Amele Taieb; Zoubir Dahmani. The Hight Order Lane-Emden Fractional Differential System: Existence, Uniqueness and Ulam Type Stabilities. Kragujevac Journal of Mathematics, Tome 40 (2016) no. 2, p. 238 . http://geodesic.mathdoc.fr/item/KJM_2016_40_2_a7/