Uniqueness of solution for boundary value problems for fractional differential equations

Uniqueness results for nonlinear fractional differential equations with infinite-point integral boundary conditions

“…Fractional differential equations have been of great interest recently, see [6,10,11]. There are many results dealing with the existence and multiplicity of solutions of nonlinear fractional differential equations by the means of techniques of nonlinear analysis, see [1,4,8,9,12].…”

Adaptive Synchronization for Uncertain Delayed Fractional-Order Hopfield Neural Networks via Fractional-Order Sliding Mode Control

“…Podlubny's book [7] systematically introduced the concepts and properties of FC. Bai et al (see [8][9][10][11][12][13], and the references therein) studied the existence and uniqueness of solutions for fractional differential equations (FDE). Wang et al [14][15][16] studied the numerical analysis of FDE.…”

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].…”