Solvability of fractional three-point boundary value problems with nonlinear growth

Positive solutions of fractional differential equations involving the Riemann–Stieltjes integral boundary condition

“…In [2], by means of a fixed point theorem, Bai is the Riemann-Liouville fractional derivative, f is a Carathédory function, and f (t, x, y, z) is singular at the value 0 of its arguments x, y, z. Some recent contributions of fractional differential equations can be seen in [1][2][3][4][5][6][7][8][10][11][12][13][14][15][16][17][18][19][20][21][22][23].…”

Positive properties of the Green function for two-term fractional differential equations and its application

“…Fractional differential equations (FDE) serve as an excellent instrument for the description of memory and hereditary properties of various materials and processes. Recently, much attention has been paid to the study of boundary value problems (BVP) of fractional differential equation, such as the singular BVP [17,21,33,34], nonlocal BVP [2,5,20,24], semipositone BVP [19,22,23] and resonant BVP [3,4,18,32].…”

Multiplicity Results for Positive Solutions to Differential Systems of Singular Coupled Integral Boundary Value Problems

“…In recent years, singular uncoupled boundary value problems to differential systems have been studied widely and there are many excellent results (see [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18] and references therein). Naturally we hope there are the same excellent results on singular uncoupled boundary value problems to differential systems with coupled boundary conditions.…”