The existence of solutions for boundary value problem of fractional hybrid differential equations

The Existence and Uniqueness of Solutions for a Nonlinear Fractional Caputo-Langevin Equation With Multi-Point Boundary Conditions

“…[13,14,15,16]. Boundary-value problems for fractional differential equations have been discussed in [4,5,6,8,10]. In [9], the authors have investigated the existence and uniqueness of solutions for Langevin equation with two fractional orders.…”

Oscillation of solutions for a class of nonlinear fractional difference equations

“…Fractional calculus is a highly valuable tool in the modeling of many sorts of scientific phenomena in various fields of science, engineering and physics [5,25,26]. Recently, many articles have investigated some aspects of differential equations with fractional-order derivatives, especially the existence, the uniqueness the methods for explicit and numerical solutions and the stability of solutions, we refer to [6,8,9,15,16,23,24] and the references cited therein. In recent years, oscillatory behaviour of fractional differential equations has been investigated by authors, see papers [2-4, 7, 10, 12, 14, 17-19, 27].…”

Existence Results of Initial Value Problems for Hybrid Fractional Sum-Difference Equations

“…Recently, there are several research works related to boundary value problems for hybrid differential equations (see [58][59][60][61][62][63][64][65]). For example, Sun et al [60] studied the existence of solutions for the boundary value problem of fractional hybrid differential equations…”