Existence and uniqueness of solutions for a fractional boundary value problem on a graph

By John R. Graef, Lingju Kong, Min Wang. 2014

79 citations recorded by the source corpus.

In this paper, the authors consider a nonlinear fractional boundary value problem defined on a star graph. By using a transformation, an equivalent system of fractional boundary value problems with mixed boundary conditions is obtained. Then the existence and uniqueness of solutions are investigated by fixed point theory.

Subfields: Applied Mathematics, Modeling and Simulation, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/9f0159eba7840f539ee99724fa298d72e24cedfb

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In Applied Mathematics

1. Sotiris K. Ntouyas
2. Bashir Ahmad
3. J. J. Nieto
4. Jinrong Wang
5. Yong Zhou
6. Ahmed Alsaedi
7. Gennaro Infante
8. Paolamaria Pietramala

In Modeling and Simulation

1. Sotiris K. Ntouyas
2. Bashir Ahmad
3. Ahmed Alsaedi
4. J. J. Nieto
5. Yong Zhou
6. Gennaro Infante
7. Jinrong Wang
8. Paolamaria Pietramala

In Numerical Analysis

1. Sotiris K. Ntouyas
2. Bashir Ahmad
3. Jinrong Wang
4. Yong Zhou
5. Ahmed Alsaedi
6. J. J. Nieto
7. Ravi P. Agarwal

Citations in the corpus

• An Existence Theorem for Fractional Hybrid Differential Inclusions of Hadamard Type with Dirichlet Boundary Conditions (2014, background): “Much of the work on fractional differential equations involves either Riemann-Liouville derivative or Caputo derivative; for instance, see [4–33] and the references therein.”