Opuscula Math. 34, no. 4 (2014), 813-825
http://dx.doi.org/10.7494/OpMath.2014.34.4.813
Opuscula Mathematica
Existence results for random fractional differential equations
Vasile Lupulescu
Donal O'Regan
Ghaus ur Rahman
Abstract. In this paper, an existence result for a random fractional differential equation is established under a Carathéodory condition. Existence results for extremal random solutions are also proved. Finally, an existence and uniqueness result is given
Keywords: random fractional differential equations, fractional integral, Caputo fractional derivative, existence.
Mathematics Subject Classification: 26A33, 47H40, 60H25.
- Vasile Lupulescu
- Constantin Brancusi University, Targu-Jiu, Romania
- Donal O'Regan
- School of Mathematics, Statistics and Applied Mathematics, National University of Ireland, Galway, Ireland
- Ghaus ur Rahman
- Abdus Salam School of Mathematical Sciences, GC University, Lahore, Pakistan
- Received: 2013-10-15.
- Revised: 2013-12-16.
- Accepted: 2014-02-04.