Portion of a display screen with animated graphical user interface

FIG. 1 is a front view of a first image of a first embodiment of a portion of a display screen with animated graphical user interface showing my new design;

FIG. 2 is a front view of a second image thereof;

FIG. 3 is a front view of a first image of a second embodiment of a portion of a display screen with animated graphical user interface showing my new design;

FIG. 4 is a front view of a second image thereof;

FIG. 5 is a front view of a first image of a third embodiment of a portion of a display screen with animated graphical user interface showing my new design;

FIG. 6 is a front view of a second image thereof;

FIG. 7 is a front view of a first image of a fourth embodiment of a portion of a display screen with animated graphical user interface showing my new design; and,

FIG. 8 is a front view of a second image thereof.

In the first embodiment, the appearance of the transitional image sequentially transitions between the images shown in FIGS. 1 through 2 . In the second embodiment, the appearance of the transitional image sequentially transitions between the images shown in FIGS. 3 through 4 . In the third embodiment, the appearance of the transitional image sequentially transitions between the images shown in FIGS. 5 through 6 . In the fourth embodiment, the appearance of the transitional image sequentially transitions between the images shown in FIGS. 7 through 8 . The process or period in which one image transitions to another image forms no part of the claimed design. The broken line showing of a portion of a display screen in FIGS. 1 through 8 forms no part of the claimed design. The broken line showing of text and portions of the graphical user interface in FIGS. 1 through 8 represents environmental subject matter and forms no part of the claimed design.