The common language used for DeepLearning is python (with tensorflow, keras, theano, pytorch for example), keras and tensorflow are also available on R. In matlab you can use MatCovNet and I think they would also propose some DeepLearning functionalities on matlab ( https://fr.mathworks.com/solutions/deep-learning.html ).
Tensorflow, Caffe, The Microsoft Cognitive Toolkit/CNTK, Torch/PyTorch and Keras. The attached link provides information about the top deep learning frameworks in order for you to get a better idea on which framework will be the perfect fit for your problem.