Existence and uniqueness theorems for impulsive fractional differential equations with the two-point and integral boundary conditions

Mardanov, M.J.; Mahmudov , Nazim; Sharifov, Y.A.

doi:10.1155/2014/918730

Existence and uniqueness theorems for impulsive fractional differential equations with the two-point and integral boundary conditions

Mardanov M., Mahmudov N., Sharifov Y.

The Scientific World Journal, vol.2014, 2014 (Scopus)

Nəşrin Növü: Article / Article
Cild: 2014
Nəşr tarixi: 2014
Doi nömrəsi: 10.1155/2014/918730
jurnalın adı: The Scientific World Journal
Jurnalın baxıldığı indekslər: Scopus
Açıq Arxiv Kolleksiyası: Məqalə
Adres: Yox

Qısa məlumat

We study a boundary value problem for the system of nonlinear impulsive fractional differential equations of order α 0 < α ≤ 1 involving the two-point and integral boundary conditions. Some new results on existence and uniqueness of a solution are established by using fixed point theorems. Some illustrative examples are also presented. We extend previous results even in the integer case α = 1. © 2014 M. J. Mardanov et al.