Existence and uniqueness theorems for impulsive fractional differential equations with the two-point and integral boundary conditions.
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.
Institute of Mathematics and Mechanics, ANAS, B. Vahabzade Street 9, 1141 Baku, Azerbaijan.
M J
MJ
Mardanov
Department of Mathematics, Eastern Mediterranean University, Gazimagusa, North Cyprus, Mersin 10, Turkey ; Institute of Cybernetics, ANAS, B. Vahabzade Street 9, 1141 Baku, Azerbaijan.
N I
NI
Mahmudov
Institute of Cybernetics, ANAS, B. Vahabzade Street 9, 1141 Baku, Azerbaijan ; Baku State University, Z. Khalilov Street 23, 1148 Baku, Azerbaijan.
Y A
YA
Sharifov
D000465:Algorithms; D003198:Computer Simulation; D008433:Mathematics; D008962:Models, Theoretical; D017711:Nonlinear Dynamics