Existence of solutions to boundary value problem for impulsive fractional differential equations

By Gabriele Bonanno, Rosana Rodríguez-López, Stepan A. Tersian. Fractional Calculus and Applied Analysis, 2014

108 citations recorded by the source corpus.

In this paper we study the existence and the multiplicity of solutions for an impulsive boundary value problem for fractional order differential equations. The notions of classical and weak solutions are introduced. Then, existence results of at least one and three solutions are proved.

Subfields: Applied Mathematics, Modeling and Simulation

View Paper: https://www.semanticscholar.org/paper/530bdd96e3d5068bf1a2931a5824515920c73ec0

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In Applied Mathematics

1. Stepan A. Tersian
2. Rosana Rodríguez-López
3. Bessem Samet
4. Vasile Berinde
5. Ljubomir Ciric
6. Ravi P. Agarwal
7. Mohammad Imdad
8. J. J. Nieto

In Modeling and Simulation

1. Stepan A. Tersian
2. Rosana Rodríguez-López

Citations in the corpus

• Multiple solutions to boundary value problem for impulsive fractional differential equations (2014, background): “Similarly to the choice in [2, 3, 5], we consider the function w : [0, T ] −→ R given by”