Solutions of the fractional combined KdV–mKdV equation with collocation method using radial basis function and their geometrical obstructions

Author:

Kaya Doğan,Gülbahar Sema,Yokuş Asıf,Gülbahar Mehmet

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Algebra and Number Theory,Analysis

Reference49 articles.

1. Das, S.: Functional Fractional Calculus. Springer, Berlin (2011)

2. Agarwal, R.P., Benchohra, M., Hamani, S., Pinelas, S.: Boundary value problems for differential equations involving Riemann–Liouville fractional derivative on the half line. Dyn. Contin. Discrete Impuls. Syst., Ser. A Math. Anal. 18(2), 235–244 (2011)

3. Agarwal, R.P., Benchohra, M., Hamani, S.: Boundary value problems for fractional differential equations. Georgian Math. J. 16(3), 401–411 (2009)

4. Kaya, D., Yokuş, A.: Stability analysis and numerical solutions for time fractional KdVb equation. In: International Conference on Computational Experimental Science and Engineering, Antalya (2014)

5. Khater, A., Helal, M., El-Kalaawy, O.: Bäcklund transformations: exact solutions for the KdV and the Calogero–Degasperis–Fokas mKdV equations. Math. Methods Appl. Sci. 21(8), 719–731 (1998)

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