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Your search keyword '"Beta and Local M-Derivative"' showing total 3 results
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3 results on '"Beta and Local M-Derivative"'

1. Analytical solutions of nonlinear time fractional evaluation equations via unified method with different derivatives and their comparison

Author

Muhammad Naveed Rafiq, Abdul Majeed, Shao-Wen Yao, Mohsin Kamran, Muhammad Hamza Rafiq, and Mustafa Inc

Subjects
Conformable, Beta and local M-derivative, The unified method, Combined KdV-mKdV equation, Modified Burgers-KdV equation, Solitary wave soliton solutions, Physics, QC1-999
Abstract

This paper is devoted to addressings the fairly interesting soliton solutions for the time fractional combined Korteweg-de Vries-modified Korteweg-de Vries equation (KdV–mKdV equation) and modified Burgers-KdV equation. The unified method along with conformable, Beta and local M-derivative are used to construct the general structure of solitary wave soliton solutions. The method allows us to find solutions in both polynomial and rational forms. Further, the comparison of solutions are given out through 3D and 2D-plots to expose the impact of fractional parameter on the obtained solutions. The reported solutions are novel and have not been discussed in the literature.

Published
2021
Full Text
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2. Analytical solutions of nonlinear time fractional evaluation equations via unified method with different derivatives and their comparison

Author

Muhammad Naveed Rafiq, Abdul Majeed, Shao-Wen Yao, Mohsin Kamran, Muhammad Hamza Rafiq, Mustafa Inc, and Mühendislik ve Doğa Bilimleri Fakültesi

Subjects
Polynomial, QC1-999, Conformable, Structure (category theory), Mathematics::Analysis of PDEs, General Physics and Astronomy, 02 engineering and technology, 01 natural sciences, Modified Burgers-KdV Equation, Combined KdV-mKdV Equation, 0103 physical sciences, Applied mathematics, Nonlinear Sciences::Pattern Formation and Solitons, Mathematics, 010302 applied physics, Vries equation, Solitary Wave Soliton Solutions, Physics, Conformable matrix, 021001 nanoscience & nanotechnology, The Unified Method, Nonlinear system, Nonlinear Sciences::Exactly Solvable and Integrable Systems, Soliton, 0210 nano-technology, Beta and Local M-Derivative
Abstract

This paper is devoted to addressings the fairly interesting soliton solutions for the time fractional combined Korteweg-de Vries-modified Korteweg-de Vries equation (KdV–mKdV equation) and modified Burgers-KdV equation. The unified method along with conformable, Beta and local M-derivative are used to construct the general structure of solitary wave soliton solutions. The method allows us to find solutions in both polynomial and rational forms. Further, the comparison of solutions are given out through 3D and 2D-plots to expose the impact of fractional parameter on the obtained solutions. The reported solutions are novel and have not been discussed in the literature.

Published
2022

3. Analytical solutions of nonlinear time fractional evaluation equations via unified method with different derivatives and their comparison.

Author

Rafiq, Muhammad Naveed, Majeed, Abdul, Yao, Shao-Wen, Kamran, Mohsin, Rafiq, Muhammad Hamza, and Inc, Mustafa

Abstract

This paper is devoted to addressings the fairly interesting soliton solutions for the time fractional combined Korteweg-de Vries-modified Korteweg-de Vries equation (KdV–mKdV equation) and modified Burgers-KdV equation. The unified method along with conformable, Beta and local M-derivative are used to construct the general structure of solitary wave soliton solutions. The method allows us to find solutions in both polynomial and rational forms. Further, the comparison of solutions are given out through 3D and 2D-plots to expose the impact of fractional parameter on the obtained solutions. The reported solutions are novel and have not been discussed in the literature. [ABSTRACT FROM AUTHOR]

Published
2021
Full Text
View/download PDF

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