{'fraction_non_alphanumeric': 0.01950354609929078, 'fraction_numerical': 0.0, 'mean_word_length': 5.890243902439025, 'pattern_counts': {'":': 0, '<': 0, '<?xml version=': 0, '>': 0, 'https://': 0, 'lorem ipsum': 0, 'www.': 0, 'xml': 0}, 'pii_count': 0, 'substrings_counts': 0, 'word_list_counts': {'cursed_substrings.json': 0, 'profanity_word_list.json': 0, 'sexual_word_list.json': 0, 'zh_pornsignals.json': 0}}
Fractional Variational iteration Method for Solving Fractional Order Shoreline Moving Boundary Value Problem

In this article, the mathematical model of shoreline problem will be presented, which includes Caputo sense space-time fractional order derivative. The solution to this problem would be an approximate solution using fractional variational iteration method (FVIM). Graphically the results will be compared with an exact solution to the integer order derivatives. Three cases are discussed, time fractional, space fractional and standard diffusion problem.