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Article detail · 2019

Solving smoking epidemic model of fractional order using a modified homotopy analysis transform method

Journal

Mathematical sciences
OpenAlex Open access · hybrid SJR Q2 JCR Q2 Citations 104 Top 10% Percentile 96.8% FWCI 5.65
Year
2019
DOI
10.1007/s40096-019-0284-6
Type
article

Data source split

  • YÖKSİS venue Mathematical sciences
  • OpenAlex OpenAlex enrichment (abstract, citations, topics)

OpenAlex record

Abstract

OpenAlex · English

The pivotal aim of the present work is to obtain an approximated analytical solution for the fractional smoking epidemic model with the aid of a novel technique called q -homotopy analysis transform method ( q -HATM). The considered nonlinear mathematical model has been effectively employed to elucidate the evolution of smoking in a population and its impact on public health in a community. We find some new approximate solutions in a series form, which converges rapidly, and the proposed algorithm provides auxiliary parameters, which are very reliable and feasible in controlling the convergence of obtained approximate solutions. Further, we present novel simulations for all cases of results to validate the applicability and effectiveness of proposed scheme. The outcomes of the study reveal that the q -HATM is computationally very effective to analyse nonlinear fractional differential equations arises in daily life problems.

Topics

Citations

OpenAlex cited_by_count. Not a WoS or Scopus citation count; those sources have no separate column here.

104 citations

OpenAlex cited_by_count (cache / database)

27 publications in the local catalog that cite this work (OpenAlex reference match; not the full global list).

  1. New approach for the model describing the deathly disease in pregnant women using Mittag-Leffler function 2020 Citations 124 · OpenAlex
  2. New Numerical Results for the Time-Fractional Phi-Four Equation Using a Novel Analytical Approach 2020 Citations 90 · OpenAlex
  3. A powerful approach for fractional Drinfeld Sokolov Wilson equation with Mittag-Leffler law 2019 Citations 85 · OpenAlex
  4. Efficient analytical techniques for solving time-fractional nonlinear coupled Jaulent–Miodek system with energy-dependent Schrödinger potential 2019 Citations 82 · OpenAlex
  5. A fractional model of cancer-immune system with Caputo and Caputo–Fabrizio derivatives 2021 Citations 71 · OpenAlex
  6. Regarding new numerical solution of fractional Schistosomiasis disease arising in biological phenomena 2020 Citations 66 · OpenAlex
  7. A study on the fractal-fractional tobacco smoking model 2022 Citations 50 · OpenAlex
  8. ITERATIVE METHOD APPLIED TO THE FRACTIONAL NONLINEAR SYSTEMS ARISING IN THERMOELASTICITY WITH MITTAG-LEFFLER KERNEL 2020 Citations 47 · OpenAlex
  9. An efficient analytical approach for fractional Lakshmanan\u2010Porsezian\u2010Daniel model 2020 Citations 38 · OpenAlex
  10. Analytical approximate solution of fractional order smoking epidemic model 2022 Citations 16 · OpenAlex

Authors

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