Fractional calculus and fractional differential equations in nonreflexive Banach spaces
Abstract In this paper we establish an existence result for the fractional differential equation D p a y t f t y t y 0 y 0 where D p a y is a fractional pseudo derivative of a weakly absolutely continuous and pseudo differentiable function y( T E, the function f (t, T x E E is weakly weakly sequentially continuous for every t T and f y( is Pettis integrable for every weakly absolutely continuous function y( T E, T is a bounded interval of real numbers and E is a nonreflexive Banach space.
Commun. Nonlinear Sci. Numer. Simul.