Fractional differential inclusions with fractional separated boundary conditions
By Bashir Ahmad, Sotiris K. Ntouyas. Fractional Calculus and Applied Analysis, 2012
71 citations recorded by the source corpus.
This paper studies a new class of boundary value problems of nonlinear fractional differential inclusions of order q ∈ (1, 2] with fractional separated boundary conditions. New existence results are obtained for this class of problems by using some standard fixed point theorems. A possible generalization for the inclusion problem with fractional separated integral boundary conditions is also discussed. Some illustrative examples are presented.
Subfields: Applied Mathematics, Modeling and Simulation, Numerical Analysis
View Paper: https://www.semanticscholar.org/paper/11f1dff4c39753398238d60b460c0398646754d8
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Applied Mathematics
- Sotiris K. Ntouyas
- Bashir Ahmad
- J. J. Nieto
- Jinrong Wang
- Yong Zhou
- Ahmed Alsaedi
- Gennaro Infante
- Paolamaria Pietramala
In Modeling and Simulation
- Sotiris K. Ntouyas
- Bashir Ahmad
- Ahmed Alsaedi
- J. J. Nieto
- Yong Zhou
- Gennaro Infante
- Jinrong Wang
- Paolamaria Pietramala
In Numerical Analysis
Citations in the corpus
- Approximate controllability for fractional differential equations of sobolev type via properties on resolvent operators (2017, unknown): “For more detailed results on fractional calculus and fractional differential equations, we refer to [1, 2, 3, 12, 16, 21, 29, 31] and references therein.”
- A fully Hadamard type integral boundary value problem of a coupled system of fractional differential equations (2014, background): “For some recent development on the topic, see [1], [2], [4], [5], [6], [7], [8], [9], [10], [11], [12], [14], [17], and the references therein.”