Hmmm...I don't have an Anjans. However, I just washed my Puma Bashy sneaks in a sink full of luke warm water and a bit of oxyclean. I rubbed off the dirt by hand. It took them about 3 days to fully dry, but worked out well.
I would try a suede cleaning kit, but be careful, it may darken the fabric part. I don't know about oxyclean, but you can probably clean these in woolite. The suede may be stiffer after it dries, but with a suede brush you can raise the nap again, and since it's just a stripe and not the whole shoe, it should be ok. I hate when shoes get dirty, so I know how you feel.
I have some pink suede loafers that get soooo dirty looking so I got one of those rhomboid pink pencil erasers and rubbed it on the dirty spots. It lifted most of the stains right off! You might try this before doing anything more drastic with them. . . Hope it works!
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