Geodesic
Triangular System of Higher Order Singular Fractional Differential Equations
Kragujevac Journal of Mathematics, Tome 45 (2021) no. 1, p. 81 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 introduce a high dimensional system of singular fractional differential equations. Using Schauder fixed point theorem, we prove an existence result. We also investigate the uniqueness of solution using the Banach contraction principle. Moreover, we study the Ulam-Hyers stability and the generalized-Ulam-Hyers stability of solutions. Some illustrative examples are also presented.
Classification : 30C45 39B72, 39B82
Keywords: Caputo derivative, fixed point, singular fractional differential equation, existence, uniqueness, Ulam-Hyers stability 
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     author = {Amele Taieb and Zoubir Dahmani},
     title = {Triangular {System} of {Higher} {Order} {Singular} {Fractional} {Differential} {Equations}},
     journal = {Kragujevac Journal of Mathematics},
     pages = {81 },
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     number = {1},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KJM_2021_45_1_a6/}
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Amele Taieb; Zoubir Dahmani. Triangular System of Higher Order Singular Fractional Differential Equations. Kragujevac Journal of Mathematics, Tome 45 (2021) no. 1, p. 81 . http://geodesic.mathdoc.fr/item/KJM_2021_45_1_a6/