Nonlocal Boundary Value Problem for Impulsive Differential Equations of Fractional Order

By Liu Yang, Haibo Chen. 2011

48 citations recorded by the source corpus.

We study a nonlocal boundary value problem of impulsive fractional differential equations. By means of a fixed point theorem due to O'Regan, we establish sufficient conditions for the existence of at least one solution of the problem. For the illustration of the main result, an example is given.

Subfields: Applied Mathematics, Modeling and Simulation

View Paper: https://www.semanticscholar.org/paper/07c1ba4889ed9571cf956674ef699816f3126d58

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In Applied Mathematics

1. Ravi P. Agarwal
2. Donal O'Regan
3. Snezhana G. Hristova
4. Martin J. Bohner
5. Tongxing Li
6. Samir H. Saker
7. Jinrong Wang
8. Yong Zhou

In Modeling and Simulation

1. Donal O'Regan
2. Ravi P. Agarwal
3. Snezhana G. Hristova
4. Yong Zhou
5. Jinrong Wang
6. Bashir Ahmad
7. Sotiris K. Ntouyas

Citations in the corpus

• A survey of Lyapunov functions, stability and impulsive Caputo fractional differential equations (2016, background): “Following approach (V1) many authors discussed existence and uniqueness with q ∈ (0, 1) ([52]), with q ∈ (1, 2] ([1]), for an anti-periodic boundary value problem with q ∈ (2, 3] ([41]), nonlocal boundary value problem ([50]), and existence in Banach spaces ([46]).”