Multiple solutions to boundary value problem for impulsive fractional differential equations
By Rosana Rodríguez-López, Stepan A. Tersian. Fractional Calculus and Applied Analysis, 2014
71 citations recorded by the source corpus.
We study the multiplicity of solutions for fractional differential equations subject to boundary value conditions and impulses. After introducing the notions of classical and weak solutions, we prove the existence of at least three solutions to the impulsive problem considered.
Subfields: Applied Mathematics, Modeling and Simulation
View Paper: https://www.semanticscholar.org/paper/a1f25366f46440a34d827f484ab18cb068d9b1c6
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In Applied Mathematics
- Ravi P. Agarwal
- Donal O'Regan
- Snezhana G. Hristova
- Martin J. Bohner
- Tongxing Li
- Samir H. Saker
- Jinrong Wang
- Yong Zhou
In Modeling and Simulation
- Donal O'Regan
- Ravi P. Agarwal
- Snezhana G. Hristova
- Yong Zhou
- Jinrong Wang
- Bashir Ahmad
- Sotiris K. Ntouyas
Citations in the corpus
- A survey of Lyapunov functions, stability and impulsive Caputo fractional differential equations (2016, background): “Following approach (V2) many authors discussed existence of decay IFrDE ([24]), existence and the multiplicity of solutions for IFrDE ([14], [36]), and existence and uniqueness of mild solutions for impulsive fractional integro-differential equations ([49]).”
- Infinitely many solutions for impulsive fractional boundary value problem with p-Laplacian (2018, unknown): “In particular, Rodríguez-López and Tersian [22] established one and three solutions for problem (1.2) when h(u(t)) ≡ 0.”