Opuscula Math. 34, no. 4 (2014), 813-825

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.

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  • 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.
Opuscula Mathematica - cover

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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