Fractional approach for analysis of the model describing wind-influenced projectile motion
P. Veeresha, Esin İlhan, Hacı Mehmet Başkonuş
Abstract
Abstract In this paper, we find the solution for coupled equations describing the projectile motion with wind-influence using <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mml:mi>q</mml:mi> </mml:math> - homotopy analysis transform method ( <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mml:mi>q</mml:mi> </mml:math> -HATM). The projectedmethod is elegant amalgamations of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mml:mi>q</mml:mi> </mml:math> -homotopy analysis scheme and Laplace transform, and fractional derivativedefined withCaputo-Fabrizio (CF) operator. Moreover, the physical natures of the obtained results have been captured in terms of plots for diverse mass, external force and fractional order. The achievedconsequences elucidate that, the hiredsolution procedure is easy to implement, highly methodical as well as accurate to analyse the behaviour of system of nonlinear differential equations of both integer and fractional order describing connected areas of science and engineering.