Opuscula Math. 34, no. 4 (2014), 813-825
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.
About the authors ▼
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
About the article ▼
Received: 2013-10-15.
Revised: 2013-12-16.
Accepted: 2014-02-04.
Cite this article as ▼
Vasile Lupulescu, Donal O'Regan, Ghaus ur Rahman, Existence results for random fractional differential equations, Opuscula Math. 34, no. 4 (2014), 813-825,
http://dx.doi.org/10.7494/OpMath.2014.34.4.813.
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