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Existence results for random fractional differential equations

Lupulescu V., O’Regan D., Rahman ur G.

Opuscula Mathematica

2014

Vol. 34, no. 4

813--825

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.

Random integral equations on time scales

Lupulescu V., Lungan C.

Opuscula Mathematica

2013

Vol. 33, no. 2

323--335

In this paper, we present the existence and uniqueness of random solution of a random integral equation of Volterra type on time scales. We also study the asymptotic properties of the unique random solution.