You need email to SMS solution. Most likely your GSM provider already have one. Or you can buy SMS gateway. Then just send from JIRA notifications to that email.
You might like to look at this option as well. https://zapier.com/zapbook/zaps/10436/get-sms-notifications-for-new-jira-issues/
Here's 2 options:
pagerduty.com which has SMS and Phone calls. This is a paid solution, but it works well depending on what you want to do.
Alternatively, here's a format that you can email to individuals cell phones. Each of us has an email address that will route to our providers: http://coghlancapital.com/textaddress
Hope this helps.
That is a strange link, not sure it's right?
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