Existence of solutions for fractional differential equations with multi-point boundary conditions

Existence Results for Impulsive Fractional Differential Inclusions with Two Different Caputo Fractional Derivatives

“…Up to now, fractional boundary value problems are still heated research topics. That is why, more and more considerations by many people have been paid to study the existence of solutions for fractional boundary value problems; we refer readers to [1][2][3][4][5][6][7][8][9][10][11][12].…”

Positive solution for four‐point nonlocal boundary value problems of fractional order

“…Specially, there are a few papers concerning four‐point boundary value problems for differential equations of fractional order. In , the authors discussed the existence of solutions for the following fractional differential equation with multi‐point boundary conditions where 1 < q ≤ 2 is a real number.…”

“…Specially, there are a few papers concerning four-point boundary value problems for differential equations of fractional order. In [13], the authors discussed the existence of solutions for the following fractional differential equation with multi-point boundary conditions c D q 0C u.t/ C f .t, u.t/, .Ku/.t/, .Hu/.t// D 0, t 2 .0, 1/,…”

Positive solutions for boundary value problem of fractional differential equation with p-Laplacian operator

“…In [18], relying on the contraction mapping principle and the Krasnosel'skiĭ's fixed point theorem, Zhou and Chu discussed the existence of solutions for a nonlinear multi-point BVP of integro-differential equations of fractional order q (1,2] c D q 0+ u(t) = f (t, u(t), (Ku)(t), (Hu)(t)), 1 < t < 1,…”

“…For some recent contributions on fractional differential equations, see for example, [10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28] and the references therein. Especially, in [15], by means of Guo-Krasnosel'skiĭ's fixed point theorem, Zhao et al investigated the existence of positive solutions for the nonlinear fractional boundary value problem (BVP for short) In [16], relying on the Krasnosel'skiĭ's fixed point theorem as well as on the LeggettWilliams fixed point theorem, Kaufmann and Mboumi discussed the existence of positive solutions for the following fractional BVP D α 0+ u(t) + a(t)f (u(t)) = 0, 0 < t < 1, 1 < α ≤ 2, u(0) = 0, u (1) = 0.…”