Existence of Solutions for Nonlinear Impulsive Fractional Differential Equations of Orderα∈(2,3]with Nonlocal Boundary Conditions | Zendy

Lihong Zhang | Zendy; Guotao Wang | Zendy; Guangxing Song | Zendy

Open Access

Existence of Solutions for Nonlinear Impulsive Fractional Differential Equations of Orderα∈(2,3]with Nonlocal Boundary Conditions

Author(s) -

Lihong Zhang,

Guotao Wang,

Guangxing Song

Publication year - 2012

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2012/717235

Subject(s) - uniqueness , nonlinear system , mathematics , algorithm , mathematical analysis , physics , quantum mechanics

We investigate the existence and uniqueness of solutions to the nonlocal boundary value problem for nonlinear impulsive fractional differential equations of order α ∈ ( 2 , 3 ] . By using some well-known fixed point theorems, sufficient conditions for the existence of solutions are established. Some examples are presented to illustrate the main results.

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