Chapter 11: Artificial neural network approach for solving fractional order applied problems

Susmita Mall; Snehashish Chakraverty    Department of Mathematics, National Institute of Technology Rourkela, Rourkela, Odisha, India

Abstract

In this chapter, we approximate the solution of fractional differential equations (FDEs) using a new approach based on a single-layer artificial neural network (ANN) named the functional link artificial neural network (FLANN) model. FDEs play an important role in the explanation of many physical phenomena. For this reason, our main aim is to develop reliable and efficient techniques for the solution of FDEs. Here, the FLANN model and unsupervised back propagation algorithm are considered to handle these ...

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