THERMAL SCIENCE
International Scientific Journal
EXACT SOLUTIONS OF THE SPACE-TIME FRACTIONAL EQUAL WIDTH EQUATION
ABSTRACT
A class of fractional differential equations is investigated in this paper. By the use of modified Remann-Liouville derivative and the tanh-sech method, the exact bright soliton solutions for the space-time fractional equal width are obtained.
KEYWORDS
PAPER SUBMITTED: 2018-02-28
PAPER REVISED: 2018-04-22
PAPER ACCEPTED: 2018-06-19
PUBLISHED ONLINE: 2019-09-14
THERMAL SCIENCE YEAR
2019, VOLUME
23, ISSUE
Issue 4, PAGES [2307 - 2313]
- Krishnan, E. V., Biswas, A., Solutions to the Zakharov-Kuznetsov Equation With Higher Order Nonlinearity by Mapping and Ansatz Methods, Physics of Wave Phenomena, 18 (2010), 4, pp. 256-261
- Zhang, S., Zhang, H. Q., Fractional Sub-Equation Method and Its Applications to Nonlinear Fractional PDEs, Physics Letters A, 375 (2011), 7, pp. 1069-1073
- Mirzazadeh, M., et al., Solitons and Periodic Solutions to a Couple of Fractional Nonlinear Evolution Equations, Pramana, 82 (2014), 3, pp. 465-476
- Jumarie, G., Table of Some Basic Fractional Calculus Formulae Derived from a Modified Riemann-Liouville Derivative for Non-differentiable Functions, Applied Mathematics Letters, 22 (2009), 3, pp. 378-385
- Taghizadeh, N., et al., Application of the Simplest Equation Method to Some Time-Fractional Partial Differential Equations, Ain Shams Engineering Journal, 4 (2013), 4, pp. 897-902
- Aslan, I., Exact Solutions of a Fractional-Type Differential-Difference Equation Related to Discrete MKdV Equation, Communications in Theoretical Physics, 61 (2014), 5, pp. 595-599
- Ma, H. C., et al, Exact Solutions of Non-Linear Fractional Partial Differential Equations by Fractional sub-equation Method, Thermal Science 19 (2015), 4, pp. 1239-1244
- Aslan, I., Symbolic Computation of Exact Solutions for Fractional Differential-Difference Equation Models, Nonlinear Analysis Modelling & Control, 20 (2014), 1, pp. 112-131
- Aslan, I., An Analytic Approach to a Class of Fractional Differential-Difference Equations of Rational Type via Symbolic Computation, Mathematical Methods in the Applied Sciences, 38 (2015), 1, pp. 27-36
- Aslan., I., Traveling Wave Solutions for Nonlinear Differential-Difference Equations of Rational Types, Communications in Theoretical Physics 65 (2016), 1, pp. 39-45
- Li, Z. B., He, J.-H., Fractional Complex Transform for Fractional Differential Equations, Mathematical and Computational Applications, 15 (2010), 5, pp. 970-973
- He, J.-H., et al., Geometrical Explanation of the Fractional Complex Transform and Derivative Chain Rule for Fractional Calculus, Physics Letters A, 376 (2012), 4, pp. 257-259
- Elghareb, T., et al., An Exact Solutions for the Generalized Fractional Kolmogrove-Petrovskii Piskunov Equation By Using the Generalized (G/G)-Expansion Method, International Journal of Basic & Applied Sciences, 13 (2013), 1, pp. 19-22
- Jafari, H., et al., Application of a Homogeneous Balance Method to Exact Solutions of Nonlinear Frac-tional Evolution Equations, Journal of Computational and Nonlinear Dynamics, 9 (2014), 2, 021019
- Raslan, K. R., The First Integral Method for Solving Some Important Nonlinear Partial Differential Equations, Nonlinear Dynamics, 53 (2008), 4, pp. 281-286
- Taghizadeh, N., Mirzazadeh, M., Exact Solutions of Nonlinear Evolution Equations by Using the Modi-fied Simple Equation Method, Ain Shams Engineering Journal, 3 (2012), 3, pp. 321-325
- Mirzazadeh, M., Topological and Non-Topological Soliton Solutions to Some Time-Fractional Differen-tial Equations, Pramana, 85 (2015), 1, pp. 17-29
- Guner, O., Singular and Non-Topological Soliton Solutions for Nonlinear Fractional Differential Equa-tions, Chinese Physics B, 24 (2015), 10, pp. 10-15