Analytical Approach to Fractional Navier–Stokes Equations by Iterative Laplace Transform Method

An Efficient Analytical Technique for Solving Newell-Whitehead-Segel Equations of Fractional Order

“…Jafari et al have made elegant use of Laplace transform in this iterative method and it became a popular method known as iterative Laplace transform method (ILTM) [8] to examine a system of partial differential equations of fractional order. Recently, ILTM has been used to solve fractional Fokker-Plank equations [9], fractional Telegraph equations [10], fractional Schrödinger equations [11], fractional heat and wave like equations [12], fractional Navier-Stokes equations [13], and fractional Cauchy reaction-diffusion equations [14], etc.…”

Analytical Approach for Solving Space-Time Gas Dynamic Equations of Fractional Order Via Laplace transform

“…Recently, Jafari et al [21] suggested an innovative direct method, termed the iterative Laplace transform method (ILTM), for finding numerical solutions to a system of fractional partial differential equations by employing the Laplace transform in the iterative method. More recently, fractional Fokker-Planck equations [22] , fractional telegraph equations [23] , fractional Schrödinger equations [24] , fractional heat and wave like equations [25] , fractional Navier-Stokes equations [26] , fractional Cauchy reaction-diffusion equations [27] , and fractional Newell-Whitehead-Segel equations [28] have been solved by the ILTM.…”

Analytical Solutions for Time-Fractional Cauchy Reaction-Diffusion Equations Using Iterative Laplace Transform Method

“…Jafari et al [9] used Laplace transform together with iterative method, became a well-known technique called iterative Laplace transform method for solving a system of partial differential equations of fractional order. Recently, fractional heat and wave like equations [15], fractional Navier-Stokes equations [2] and fractional Zakharov-Kuznetsov Equations [1] are solved successfully using the iterative Laplace transform method.…”