Existence of solutions for a singular system of nonlinear fractional differential equations

The existence of solutions for boundary value problems of two types fractional perturbation differential equations

“…; see [1,2]. Many interesting results of the existence of solutions of various classes of fractional differential equations have been obtained; see [3][4][5][6][7][8][9][10][11][12][13][14][15][16][17] and the references therein.…”

Positive solutions for nonlinear semipositone fractional q-difference system with coupled integral boundary conditions

“…There have appeared some results for the existence of solutions or positive solutions of boundary value problems for a coupled system of nonlinear fractional differential equations, see [1][2][3][4][5][6][7][8] and the references therein. For example, relying on the nonlinear alternative of Leray-Schauder type and Krasnoselskiis fixed point theorems, Yuan [9] and Yuan et al [10] studied the multiple positive solutions to the ðn À 1; nÞ-type integral boundary value problems and the four-point coupled boundary value problems for systems of nonlinear semipositone fractional differential equations, respectively.…”

Existence results for boundary value problems of fractional functional differential equations with delay

“…Recently, boundary value problems of fractional differential equations have received considerable attention, see [6][7][8][9][10][11][12][13][14][15][16][17][18]. It should be noted that most of papers and books on boundary value problems of fractional differential equations are devoted to the ordinary fractional differential equations.…”