Existence and Uniqueness Theorems for Impulsive Fractional Differential Equations with the Two-Point and Integral Boundary Conditions. (20th March 2014)

• Record Type: Journal Article
• Authors: Mardanov, M. J.; Mahmudov, N. I.; Sharifov, Y. A.
• Other Names: Atangana A. Academic Editor.; Secer A. Academic Editor.
• Is Part Of: TheScientificWorldjournal. Volume 2014(2014)
• Publication Date: 2014-03-20
• Subjects: Science -- Periodicals; Technology -- Periodicals; Medicine -- Periodicals; 505
• DOI: 10.1155/2014/918730
• Languages: English
• ISSNs: 2356-6140

Abstract

Abstract : 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 .