Nguyen Duc Phuong and Tran Thanh Binh. Existence of Solutions to Nonlinear Fractional Differential Equation with Nonlocal Condition. Dynamic Systems and Applications 30 (2021) No.3, 321-330

https://doi.org/10.46719/dsa20213031

ABSTRACT.
In this paper we study the existence of mild solutions to a class of fractional nonlinear fractional differential equations with nonlocal   conditions by using some theorems of fixed point theory. By the nonlocal condition, an integral  formulation of  solutions is obtained. Under suitable assumptions, existences of the considered problem are established due to the contraction mapping theorem and the fixed-point theorem of Krasnoselskii.

 AMS (MOS) Subject Classification. 34B10.