You can't use Section in partial views, but you can write an extension to do the same:
   public static class ScriptBundleManager
{
    private const string Key = "__ScriptBundleManager__";
    /// <summary>
    /// Call this method from your partials and register your script bundle.
    /// </summary>
    public static void Register(this HtmlHelper htmlHelper, string scriptBundleName)
    {
        //using a HashSet to avoid duplicate scripts.
        var set = htmlHelper.ViewContext.HttpContext.Items[Key] as HashSet<string>;
        if (set == null)
        {
            set = new HashSet<string>();
            htmlHelper.ViewContext.HttpContext.Items[Key] = set;
        }
        if (!set.Contains(scriptBundleName))
            set.Add(scriptBundleName);
    }
    /// <summary>
    /// In the bottom of your HTML document, most likely in the Layout file call this method.
    /// </summary>
    public static IHtmlString RenderScripts(this HtmlHelper htmlHelper)
    {
        var set = htmlHelper.ViewContext.HttpContext.Items[Key] as HashSet<string>;
        return set != null ? Scripts.RenderFormat("<script type=\"text/javascript\" src=\"{0}\"></script>", set.ToArray()) : MvcHtmlString.Empty;
    }
}
Then in _Layout file, after the end of your script bundles:
@Html.RenderScripts()
Then at the top in your partial view:
@{Html.Register("~/bundles/group_of_relevant_js_files_for_partial_view");}
Then all your required functionality will load after jQuery is defined.
However: note that Kendo js files need to be loaded prior to use of their controls/extensions...so they always need to be at the top of your layout file...that's wacky, but that's life...