Multi-point boundary value problems for a class of Riemann-Liouville fractional differential equations

Abstract

In this paper, we shall study the existence and uniqueness of solutions for the multi-point boundary value problem of fractional differential equations

On a nonlocal integral boundary value problem of nonlinear Langevin equation with different fractional orders

“…The interest in this topic results from the applicability of nonlocal and integral conditions in mathemati-cal modeling of many real world situations arising in applied and biological sciences. For details and examples, see [11][12][13][14][15][16][17][18][19][20][21][22][23] and the references cited therein.…”

Existence and Stability Analysis for Fractional Differential Equations with Mixed Nonlocal Conditions

“…For more details, see the monographs [1][2][3][4] and references therein. For theoretical development of the topic, we refer the reader to papers [5][6][7][8][9][10][11][12][13][14][15][16][17][18] and references cited therein.…”

Multiple positive solutions to singular positone and semipositone m-point boundary value problems of nonlinear fractional differential equations

“…The nonlinear fractional differential equation for the multi-point boundary value problem has been studied extensively. For details, see [1][2][3][4][5][6][7][8][9][10][11][12][13][14] and the references therein. For m = 3, Bai [15] investigated the existence and uniqueness of positive solutions for a nonlocal boundary value problem of the fractional differential equation [16] investigated the existence and uniqueness of a positive solution to nonzero three-point boundary values problem for a coupled system of fractional differential equations.…”