This woman touching Jesus can be found in Matthew, chapter 9:20-21, and Luke, chapter 8:44, so that Mark might be the source. Mark said that this woman had heard about Jesus (ἀκούσασα τὰ περὶ τοῦ Ἰησοῦ). She came up behind Jesus within the crowd around him (ἐλθοῦσα ἐν τῷ ὄχλῳ ὄπισθεν). She wanted to touch his cloak (ἥψατο τοῦ ἱματίου αὐτοῦ). Matthew had mentioned fringes or edges of Jesus’ clothes, but there was no mention of that here. She was saying (ἔλεγεν γὰρ), that if she only touched his cloak or garment (Ἐὰν ἅψωμαι κἂν τοῦ ἱματίου αὐτοῦ), she would be healed or cured (σωθήσομαι). She had a plan to help herself by touching the garment of Jesus.
This is unique to Matthew. Jesus said that these Pharisees and Scribes did all their deeds to be seen by other men (πάντα δὲ τὰ ἔργα αὐτῶν ποιοῦσιν πρὸς τὸ θεαθῆναι τοῖς ἀνθρώποις). They broadened their phylacteries (πλατύνουσιν γὰρ τὰ φυλακτήρια αὐτῶν) and enlarged their long fringes or tassels (καὶ μεγαλύνουσιν τὰ κράσπεδα) on their clothes. Thus, they had distinctive garments that they wore. These phylacteries were leather boxes that contained scriptural passages. They would wear them on their forearms or head as indicated in Exodus, chapter 13:9-16. and Deuteronomy, chapter 6:4-9, that was closely tied to the “Shema.” They were to write these biblical sayings of the law on their hands and forehead. On the other hand, the fringes or tassels on the bottom of their clothing was based on Numbers, chapter 15:37-41. They made the tassels on the four corners of their garments, with a blue chord on the fringe of each corner. This was to remember all the commandments of Yahweh, a nice little reminder about their obligations. Ever today, some Jewish groups wear these tassels called the tzitzit. The same command about tassels can be found in Deuteronomy, chapter 22:12. Apparently, the Pharisees may have been the only ones wearing these larger tassels and large prayer boxes.