Sentence examples for mild solutions for from inspiring English sources

end{aligned}  We give the following definition of mild solutions for Eq. 3).

In Section 3, we study the existence of mild solutions for fractional nonlocal control system (1.1).

We adopt the notion of mild solutions for (1.1 - 1.2 1.1 - 1.2 one given in [20].

For treating the mild solutions for abstract fractional differential equations, we can also refer to [21].

In Section 3, the existence and uniqueness of mild solutions for system (1) is established.

As an application, the existence of mild solutions for some integrodifferential equation is obtained.

Section 4 is devoted to the existence result of mild solutions for problem (1.1).

In Section 3, we discuss the existence theorems of mild solutions for problem (1.1).

Consider the existence of mild solutions for the boundary value problem of parabolic type: (3.1).

First, we will investigate the exponential stability of mild solutions for NSDEs in Hilbert spaces.

Recently, Toufik [18] obtained the existence of mild solutions for the fractional stochastic evolution inclusions.