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 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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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 
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     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},
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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/