JSFiddle - React, Tailwind, and code Playground

HTML

<link rel="stylesheet" href="https://maxcdn.bootstrapcdn.com/font-awesome/4.3.0/css/font-awesome.min.css">
<link rel="stylesheet" href="https://maxcdn.bootstrapcdn.com/bootstrap/3.3.1/css/bootstrap.min.css">
<script src="https://cdnjs.cloudflare.com/ajax/libs/moment.js/2.9.0/moment-with-locales.js"></script>
<script src="https://cdn.rawgit.com/Eonasdan/bootstrap-datetimepicker/e8bddc60e73c1ec2475f827be36e1957af72e2ea/src/js/bootstrap-datetimepicker.js"></script>
<body>

 <div class="container">
                    <div class="row">
                        <div class='col-sm-6'>
                            <div style="float: left ; margin: 10px" >Дата</div>

                            <div class="form-group" style="width:100%;float:left" >

                                <div class='input-group date'>
                                    <input type='text' id="oneDate" name = "oneDate[]" value="" class="form-control" />
                                    <span class="input-group-addon">
                                        <span class="glyphicon glyphicon-calendar"></span>
                                    </span>
                                </div>
                            </div>

                            <div class="informationPlusOneDate">
                                <div>
                                    <span style="float: right" class="btn btn-success plusOneDate pull-right">+</span>
                                </div>
                            </div>

                        </div>
                    </div>
                </div>
 </body>

CSS

/* общий стиль */
    input[type="checkbox"]{zoom:1.5; }
    .hr{border-bottom: 1px solid #000}
    .block{ width: 450px; padding: 10px; border: 1px solid #000;float: right; }
    .information_json * {
        -webkit-box-sizing: border-box;
        -moz-box-sizing: border-box;
        box-sizing: border-box;
    }
    /* стиль динамических полей*/
    .pull-right {float: left;}
    .form-control {
        display: block;
        width: 100%;
        height: 34px;
        padding: 6px 12px;
        font-size: 14px;
        line-height: 1.42857143;
        color: #555;
        background-color: #fff;
        background-image: none;
        border: 1px solid #ccc;
        border-radius: 4px;
        -webkit-box-shadow: inset 0 1px 1px rgba(0,0,0,.075);
        box-shadow: inset 0 1px 1px rgba(0,0,0,.075);
        -webkit-transition: border-color ease-in-out .15s,-webkit-box-shadow ease-in-out .15s;
        -o-transition: border-color ease-in-out .15s,box-shadow ease-in-out .15s;
        transition: border-color ease-in-out .15s,box-shadow ease-in-out .15s;
    }
    .btn {
        display: inline-block;
        padding: 6px 12px;
        margin-bottom: 0;
        font-size: 14px;
        font-weight: 400;
        line-height: 1.42857143;
        text-align: center;
        white-space: nowrap;
        vertical-align: middle;
        -ms-touch-action: manipulation;
        touch-action: manipulation;
        cursor: pointer;
        -webkit-user-select: none;
        -moz-user-select: none;
        -ms-user-select: none;
        user-select: none;
        background-image: none;
        border: 1px solid transparent;
        border-radius: 4px;
    }
    .btn-danger {
        color: #fff;
        background-color: #d9534f;
        border-color: #d43f3a;
    }
    .btn-success {
        color: #fff;
        background-color: #5cb85c;
        border-color: #4cae4c;
    }
    .titleLebel{
        line-height: 30px;
        padding-left: 20px;
    }
    
    
    /*!
 *...

JavaScript

$(function () {
            $('#oneDate').datetimepicker({
                format:'YYYY-MM-DD HH:mm',
                locale: 'ru'

            });
        });
    $('body').on('click',"#oneDate", function(){
        $(this).datetimepicker({
            format:'YYYY-MM-DD HH:mm',
                locale: 'ru'
            }
        );
    });
    

    // формируем новые поля
    jQuery('.plusOneDate').click(function(){
        jQuery('.informationPlusOneDate').before(
            '<div class="form-group" style="width: 175px;float:left" >'+
            '<div class="input-group date" >'+
            '<input type="text" name = "oneDate[]" id="oneDate" class="form-control" />'+
            '<span class="input-group-addon">'+
            '<span class="glyphicon glyphicon-calendar"></span></span>'+
            '</div><span class="btn btn-danger minusOneDate pull-right" style="float: right; margin-top: 5px;">&ndash;</span></div>'

        );
    });
    // on - так как элемент динамически создан и обычный обработчик с ним не работает
    jQuery(document).on('click', '.minusOneDate', function(){
        jQuery( this ).closest( 'div' ).remove(); // удаление строки с полями
    });