|Title||NONLOCAL INITIAL VALUE PROBLEMS FOR FIRST ORDER FRACTIONAL DIFFERENTIAL EQUATIONS|
|Publication Type||Journal Article|
|Year of Publication||2011|
|Authors||BOUCHERIF ABDELKADER, NTOUYAS SOTIRISK|
|Journal||Dynamic Systems and Applications|
|AMS Subject Classification||26A33, 34B05|
In this paper, we study the existence of solutions of initial value problems for first order fractional differential equations with nonlocal conditions. A variety of new existence results are presented which are based on known fixed point theorems. Our results extend previous results in integer and time scales cases to the fractional case.