The existence of a positive solution for a singular coupled system of nonlinear fractional differential equations

Positive solutions for a coupled system of nonlinear differential equations of mixed fractional orders

“…On the other hand, the study of coupled systems involving fractional differential equations is also important as such systems occur in various problems, see [22][23][24][25][26][27][28][29][30].…”

Solvability for a couple system of nonlinear fractional differential equations in a Banach space

“…51-63 , DOI: 10.2478/s13540-013-0004-0 Meanwhile, the study of coupled systems involving fractional differential equations is also important as such systems occur in various problems of applied nature, see [13]- [20]. In [19], Su established sufficient conditions for the existence of solutions for a two-point boundary value problem for a coupled system of fractional differential equations: [20], extended the results of [19], to a threepoint boundary value problem for the following coupled system of fractional differential equations: It should be noted that Riemann-Liouville derivative is mathematically rigorous and elegant.…”

Existence and Uniqueness of Positive Solutions for a Coupled System of Nonlinear Fractional Differential Equations

“…We refer readers to the monographs such as Kilbas etal. [8], Miller and Ross [20], Podlubny [21], and the papers [1,[3][4][5][12][13][14][15][16][17][18][19][28][29][30][31][32][33] and references therein.…”

“…In [12], Li, Luo and Zhou considered the existence of positive solutions of the following boundary value problem of fractional order differential equations: In addition, recently some authors also pay close attention to the existence of solutions for coupled systems of fractional differential equations (see [2,3,25,26]). …”