Fractional approach for analysis of the model describing wind-influenced projectile motion

Title

Fractional approach for analysis of the model describing wind-influenced projectile motion

Creator

Veeresha P.; Ilhan E.; Baskonus H.M.

Description

In this paper, we find the solution for coupled equations describing the projectile motion with wind-influence using q-homotopy analysis transform method (q-HATM). The projectedmethod is elegant amalgamations of q-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. 2021 IOP Publishing Ltd.

Source

Physica Scripta, Vol-96, No. 7

Date

2021-01-01

Publisher

IOP Publishing Ltd

Subject

caputo-fabrizio derivative; fixed point theorem; laplace transform; projectile motion

Coverage

Veeresha P., Department of Mathematics, CHRIST (Deemed to Be University), Bengaluru, 560029, India; Ilhan E., Faculty of Engineering and Architecture, Ahi Evran University, Kirsehir, 40500, Turkey; Baskonus H.M., Faculty of Education, Harran University, Sanliurfa, Turkey

Rights

Restricted Access

Relation

ISSN: 318949; CODEN: PHSTB

Format

Online

Language

English

Type

Article

Identifier

https://doi.org/10.1088/1402-4896/abf868

https://www.scopus.com/inward/record.uri?eid=2-s2.0-85105974565&doi=10.1088%2f1402-4896%2fabf868&partnerID=40&md5=550d7e023240026e81c3f5f6e3aad111