Geodesic
High Dimensional Fractional Coupled Systems: New Existence and Uniqueness Results
Kragujevac Journal of Mathematics, Tome 40 (2016) no. 2, p. 224 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, we study a class of high dimensional coupled fractional differential systems using Caputo approach. We investigate the existence of solutions using Schaefer fixed point theorem. Moreover, new existence and uniqueness results are obtained by using the contraction mapping principle. Finally, some examples are presented to illustrate our main results.
Classification : 30C45, 39B72, 39B82
Keywords: Banach contraction principle, Caputo derivative, fixed point, differential equation, existence, uniqueness 
@article{KJM_2016_40_2_a6,
     author = {Louiza Tabharit and Zoubir Dahmani},
     title = {High {Dimensional} {Fractional} {Coupled} {Systems:} {New} {Existence} and {Uniqueness} {Results}},
     journal = {Kragujevac Journal of Mathematics},
     pages = {224 },
     year = {2016},
     volume = {40},
     number = {2},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KJM_2016_40_2_a6/}
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Louiza Tabharit; Zoubir Dahmani. High Dimensional Fractional Coupled Systems: New Existence and Uniqueness Results. Kragujevac Journal of Mathematics, Tome 40 (2016) no. 2, p. 224 . http://geodesic.mathdoc.fr/item/KJM_2016_40_2_a6/