Application of residual power series method to time fractional gas dynamics equations
TRR Rao - Journal of Physics: Conference Series, 2018 - iopscience.iop.org
Journal of Physics: Conference Series, 2018•iopscience.iop.org
In this study, we proposed the power series method called Residual Power Series (RPS)
method coupled with Fractional Complex Transform (FCT) to solve the time fractional
nonlinear gas dynamics equations. FCT is the alternative approach in fractional calculus
which transforms the fractional differential equation in to integer order differential equation
making the solution in simple manner. The results reveal that RPS method is simple and
convenient for similar type of time fractional nonlinear differential equations.
method coupled with Fractional Complex Transform (FCT) to solve the time fractional
nonlinear gas dynamics equations. FCT is the alternative approach in fractional calculus
which transforms the fractional differential equation in to integer order differential equation
making the solution in simple manner. The results reveal that RPS method is simple and
convenient for similar type of time fractional nonlinear differential equations.
Abstract
In this study, we proposed the power series method called Residual Power Series (RPS) method coupled with Fractional Complex Transform (FCT) to solve the time fractional nonlinear gas dynamics equations. FCT is the alternative approach in fractional calculus which transforms the fractional differential equation in to integer order differential equation making the solution in simple manner. The results reveal that RPS method is simple and convenient for similar type of time fractional nonlinear differential equations.
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