An explicit plethora of solution for the fractional nonlinear model of the low-pass electrical transmission lines via Atangana-Baleanu derivative operator
- Title
- An explicit plethora of solution for the fractional nonlinear model of the low-pass electrical transmission lines via Atangana-Baleanu derivative operator
- Author
- 박춘길
- Keywords
- Fractional nonlinear model of the low–pass electrical transmission lines; ABR fractional operator; Modified Khater (mK) method; Stability property; Cubic & Septic B–spline schemes
- Issue Date
- 2020-06
- Publisher
- ELSEVIER
- Citation
- ALEXANDRIA ENGINEERING JOURNAL, v. 59, no. 3, page. 1205-1214
- Abstract
- Novel explicit wave solutions are constructed for the fractional nonlinear model of the low-pass electrical transmission lines. A new fractional definition (Atangana-Baleanu derivative operator) is employed through the modified Khater method to get new wave solutions in distinct types of this model. The stability property of the obtained solutions is tested to show the ability of our obtained solutions in using through the physical experiments. Moreover, the obtained analytical solutions are used to evaluate the initial and boundary conditions that allows applying the cubic septic B-spline schemes to investigate the numerical solutions of this model. The novelty and advantage of the proposed method are illustrated by applying to this model. Some sketches are plotted to show more about the dynamical behavior of this model.
- URI
- https://www.sciencedirect.com/science/article/pii/S1110016820300454?via%3Dihubhttps://repository.hanyang.ac.kr/handle/20.500.11754/168945
- ISSN
- 1110-0168; 2090-2670
- DOI
- 10.1016/j.aej.2020.01.044
- Appears in Collections:
- COLLEGE OF NATURAL SCIENCES[S](자연과학대학) > MATHEMATICS(수학과) > Articles
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