5 research outputs found
Fractional integrated semi groups and nonlocal Cauchy problem for abstract nonlinear fractional differential equations
Some classes of fractional abstract differential equations with α-integrated semi groups are studied in Banach space. The existence of a unique solution of the nonlocal Cauchy problem is studied. Some properties are given
Volterra equations with fractional stochastic integrals
Some fractional stochastic systems of integral equations are
studied. The fractional stochastic Skorohod integrals are also
studied. The existence and uniquness of the considered stochastic
fractional systems are established. An application of the
fractional Black-Scholes is considered