@misc{Echchaffani_Zoubida_The, author={Echchaffani, Zoubida and Aberqi, Ahmed and Karite, Touria and Leiva, Hugo}, howpublished={online}, publisher={Zielona Góra: Uniwersytet Zielonogórski}, language={eng}, abstract={The existence of mild solutions and approximate controllability for Reimann-Liouville fractional neutral evolution systems with nonlocal conditions of a fractional order is investigated. The Laplace transform and semigroup theory are the tools used to prove the existence. In turn, approximate controllability is proved on the basis of a Nemytskii operator, a Mittag-Leffler function and certain hypotheses using fixed point theorems, as well as the construction of a Cauchy sequence. An example is provided to highlight the main results.}, type={artykuł}, title={The existence of mild solutions and approximate controllability for nonlinear fractional neutral evolution systems}, keywords={fractional neutral evolution system, approximate controllablity, mild solution, Riemann-Liouville derivatives}, }