Computation and Modeling for Fractional Order Systems

8: Taylor series expansion approach for solving fractional order heat-like and wave-like equations

Shweta Dubey^a; S. Chakraverty^b; M. Kundu^c    aNational Institute of Technology, Rourkela, Odisha, India^bDepartment of Mathematics, National Institute of Technology Rourkela, Rourkela, Odisha, India^cDepartment of Chemical Engineering, National Institute of Technology Rourkela, Rourkela, Odisha, India

Abstract

This study aims to generalize the solutions of integer order heat-like and wave-like equations to the solutions of fractional order heat-like and wave-like equations. The considered models are investigated in one and two dimensions. Here, the fractional derivatives are described in the Caputo sense. Approximate series solutions for fractional order ...