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

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

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.

Suggested Citation

  • Malagi, Naveen S. & Veeresha, P. & Prasannakumara, B.C. & Prasanna, G.D. & Prakasha, D.G., 2021. "A new computational technique for the analytic treatment of time-fractional Emden–Fowler equations," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 190(C), pages 362-376.
    • Handle: RePEc:eee:matcom:v:190:y:2021:i:c:p:362-376
    DOI: 10.1016/j.matcom.2021.05.030
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    References listed on IDEAS

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    1. Alexander Domoshnitsky & Roman Koplatadze, 2014. "On Asymptotic Behavior of Solutions of Generalized Emden-Fowler Differential Equations with Delay Argument," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-13, January.
    2. Baleanu, Dumitru & Wu, Guo–Cheng & Zeng, Sheng–Da, 2017. "Chaos analysis and asymptotic stability of generalized Caputo fractional differential equations," Chaos, Solitons & Fractals, Elsevier, vol. 102(C), pages 99-105.
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