A Novel Approach for Fractional (1 + 1 ) -Dimensional BiswasMilovic Equation
- Title
- A Novel Approach for Fractional (1 + 1 ) -Dimensional BiswasMilovic Equation
- Creator
- Prakasha D.G.; Veeresha P.; Baskonus H.M.
- Description
- In this paper, we find the solution for (1 + 1 ) -dimensional fractional Biswas-Milovic (FBM) equation using the q-homotopy analysis transform method (q-HATM). The Biswas-Milovic equation is a generalization of the nonlinear Schringer (NLS) equation. The future scheme is the elegant mixture of q-homotopy analysis scheme with Laplace transform technique and fractional derivative considered in Caputo sense. To validate and illustrate the competence of the method, we examine the projected model in terms of arbitrary order. Moreover, the nature of the attained results have been presented in 3D plots and contour plots for different value of the order. The gained consequences show that, the hired algorithm is highly accurate, easy to implement, and very operative to investigate the nature of complex nonlinear models ascended in science and engineering. 2021, The Author(s), under exclusive licence to Springer Nature India Private Limited.
- Source
- International Journal of Applied and Computational Mathematics, Vol-7, No. 5
- Date
- 2021-01-01
- Publisher
- Springer
- Subject
- Caputo fractional derivative; Fractional BiswasMilovic equation; Laplace transform; q-Homotopy analysis method
- Coverage
- Prakasha D.G., Department of Mathematics, Davangere University, Shivagangothri, Davangere, 577007, India; Veeresha P., Center for Mathematical Needs, Department of Mathematics, CHRIST (Deemed To Be University), Bengaluru, 560029, India; Baskonus H.M., Department of Mathematics and Science Education, Faculty of Education, Harran University, Sanliurfa, Turkey
- Rights
- Restricted Access
- Relation
- ISSN: 23495103
- Format
- Online
- Language
- English
- Type
- Article
Collection
Citation
Prakasha D.G.; Veeresha P.; Baskonus H.M., “A Novel Approach for Fractional (1 + 1 ) -Dimensional BiswasMilovic Equation,” CHRIST (Deemed To Be University) Institutional Repository, accessed February 26, 2025, https://archives.christuniversity.in/items/show/15617.