Dynamics of the nonlinear systems in the frame of the Caputo-Fabrizio fractional derivative

Ashok Kumar  Badsara; Shilpi Jain; PRAVEEN AGARWAL; Virendra Singh  Chouhan

doi:10.5269/bspm.76982

Ashok Kumar Badsara
Shilpi Jain
PRAVEEN AGARWAL Anand ICE, Jaipur
Virendra Singh Chouhan

Resumen

In this manuscript, efficient numerical technique called the fractional homotopy perturbation transform method (FHPTM) for solving linear and nonlinear systems. Caputo Fabrizio derivative (CFD) is used to define fractional operator in this class. To get approximate solution for four case of the homogeneous linear system and inhomogeneous nonlinear system of equation. The FHPTM is used with the Laplace transform technique in this method. To demonstrate the capabilities and efficiency of the FHPT approach, several applicable problems from various domains of science and Engineering, such as Physics and Biology, are presented. We exhibit various two and three dimensional figures to demonstrate that these solutions have wave-like features

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