A new computational technique for the analytic treatment of time-fractional Emden–Fowler equations

Naveen S. Malagi, P. Veeresha, B.C. Prasannakumara, G.D. Prasanna and D.G. Prakasha

Mathematics and Computers in Simulation (MATCOM), 2021, vol. 190, issue C, 362-376

Abstract: This paper presents the study of fractional Emden–Fowler (FEF) equations by utilizinga new adequate procedure, specifically the q-homotopy analysis transform method (q-HATM). The EF equation has got greater significance in both physical and mathematical investigation of capillary and nonlinear dispersive gravity waves. The projected technique is tested by considering four illustrations of the time-fractional EF equations. The q-HATM furnish ℏ, known as an auxiliary parameter, by the support of ℏ we can modulate the various stages of convergence of the series solution. Additionally, to certify the resolution and accurateness of the proposed method we fitted the suitable numerical simulations. The redeem results guarantee that the proposed process is more convincing and scrutinizes the extremely nonlinear issues emerging in the field of science and engineering.

Keywords: Emden–Fowler equation; q-homotopy analysis method; Laplace transform; Caputo derivative (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:190:y:2021:i:c:p:362-376

DOI: 10.1016/j.matcom.2021.05.030

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