Comparative analysis of fractional dynamical systems with various operators

• DOI: 10.3934/math.2023714
• Publication Date: 2023-04-13T11:41:31Z
• Authors: Qasim Khan; Anthony Suen; Hassan Khan; Poom Kumam
• Keywords: Operator (biology); Derivative (finance); Partial derivative

<abstract><p>This article implements an efficient analytical technique within three different operators to investigate the solutions of some fractional partial differential equations and their systems. The generalized schemes proposed method are derived for every targeted problem under influence each derivative operator. numerical examples non-homogeneous Cauchy equation three-dimensional Navier-Stokes obtained using new iterative transform method. results found be identical. 2D 3D plots have confirmed close connection between exact results. Moreover, table shows higher accuracy method.</p></abstract>