<?php namespace App\Http\Controllers;

use App\Http\Requests;
use App\Http\Controllers\Controller;

use App\Notification;
use Illuminate\Http\Request;

class NotificationsController extends Controller {

	/**
	 * Display a listing of the resource.
	 *
	 * @return Response
	 */
	public function index()
	{
		$notifications = Auth::user()->notifications()->paginate(15);

        Auth::user()->notifications_count = 0;
        Auth::user()->save();

        return view('notifications.index', compact('notifications'));
	}


	/**
	 * Remove the specified resource from storage.
	 *
	 * @param  int  $id
	 * @return Response
	 */
	public function destroy($id)
	{
        Notification::destroy($id);

        return view('notifications.index');
	}

    public function clear($id)
    {
        Notification::where('user_id', '=', Auth::user()->id)->delete();

        return view('notifications.index');
    }

}

<?php namespace App\Http\Controllers;

use App\Http\Requests;
use App\Http\Controllers\Controller;

use App\Notification;
use Illuminate\Http\Request;

class NotificationsController extends Controller {

	/**
	 * Display a listing of the resource.
	 *
	 * @return Response
	 */
	public function index()
	{
		$notifications = Auth::user()->notifications()->paginate(15);

        Auth::user()->notifications_count = 0;
        Auth::user()->save();

        return view('notifications.index', compact('notifications'));
	}


	/**
	 * Remove the specified resource from storage.
	 *
	 * @param  int  $id
	 * @return Response
	 */
	public function destroy($id)
	{
		Notification::destroy($id);

        return redirect()->route('notifications.index');
	}

}

--- 
+++ 
@@ -32,9 +32,16 @@
 	 */
 	public function destroy($id)
 	{
-		Notification::destroy($id);
+        Notification::destroy($id);
 
-        return redirect()->route('notifications.index');
+        return view('notifications.index');
 	}
 
+    public function clear($id)
+    {
+        Notification::where('user_id', '=', Auth::user()->id)->delete();
+
+        return view('notifications.index');
+    }
+
 }
Add the method for user to delete a notification or clear them all.
