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Article detail · 2020

An efficient analytical approach for fractional Lakshmanan\u2010Porsezian\u2010Daniel model

Journal

Mathematical Methods in the Applied Sciences

ISSN 0170-4214

YÖKSİS OpenAlex SJR Q1 JCR Q1 Citations 38 Percentile 83.2% FWCI 1.06
Year
2020
DOI
10.1002/mma.6179
Type
article

Data source split

  • YÖKSİS YÖKSİS article record
  • YÖKSİS venue Mathematical Methods in the Applied Sciences
  • Catalog match (ISSN) Mathematical Methods in the Applied Sciences
  • OpenAlex OpenAlex enrichment (abstract, citations, topics)

OpenAlex record

Abstract

OpenAlex · English

In this paper, the q-homotopy analysis transform method (q-HATM) is applied to find the solution for the fractional Lakshmanan-Porsezian-Daniel (LPD) model. The LPD model is the generalization of the non-linear Schrödinger (NLS) equation. The proposed method is graceful fusions of Laplace transform technique with q-homotopy analysis scheme, and the derivative is considered in Caputo sense. In order to validate and illustrate the efficiency of the proposed method, we analysed the projected model in terms of fractional order. Moreover, the physical behaviour of the obtained solution has been captured for the three different cases in terms of 3D and contour plots for diverse values of the fractional order. The obtained results confirm that the future method is easy to implement, highly methodical, and very effective to analyse the behaviour of complex non-linear fractional differential equations exist in the connected areas of science and engineering.

Topics

Citations

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

38 citations

OpenAlex cited_by_count (cache / database)

7 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 Illustrative Applications of Integral Transforms to Financial Models with Different Fractional Derivatives 2021 Citations 85 · OpenAlex
  3. New Illustrative Applications of Integral Transforms to Financial Models with Different Fractional Derivatives 2021 Citations 85 · OpenAlex
  4. DISCRETIZATION OF THE METHOD OF GENERATING AN EXPANDED FAMILY OF DISTRIBUTIONS BASED UPON TRUNCATED DISTRIBUTIONS 2021 Citations 85 · OpenAlex
  5. New soliton solutions of the 2D\u2010chiral nonlinear Schrodinger equation using two integration schemes 2021 Citations 85 · OpenAlex
  6. Analysis of a mathematical model of the aggregation process of cellular slime mold within the frame of fractional calculus 2023 Citations 8 · OpenAlex
  7. A fractional system of Cauchy-reaction diffusion equations by adopting Robotnov function 2022 Citations 7 · OpenAlex

Authors

  1. P Veeresha
  2. D G Prakasha
  3. HACI MEHMET BAŞKONUŞ HARRAN ÜNİVERSİTESİ
  4. GÜLNUR YEL