The Differential Equations of Conformable Curve in IR^2
Abstract
Keywords
References
- [1] Nishimoto K., An essence of Nishimoto's Fractional Calculus (Calculus in the 21st century): Integrations and Differentiations of Arbitrary Order, Descartes Press Company, Koriyama, (1991).
- [2] Weilber M., Efficient Numerical Methods for Fractional Differential Equations and their Analytical Background, Ph. D. Thesis, Von der Carl-Friedrich-Gaub-Fakultur Mathematic and Informatik der Te chnis-chen University, 2005.
- [3] Khalil, R., Al Harani, M., Yousef A., Sababheh M., A new definition of fractional derivative, J. Comput and Applied Mathematics, 264 (2014) 65-70.
- [4] Baleanu, D., Vacaru, S., Constant curvature coefficients and exact solutions in fractional gravity and geometric mechanics, Open Physics, 9(5) (2011) 1267-1279.
- [5] Baleanu, D., Vacaru, S. I., Fractional almost Kähler–Lagrange geometry, Nonlinear Dynamics, 64(4) 365-373.
- [6] Abdeljawad, T., Alzabut, J., Jarad, F., A generalized Lyapunov-type inequality in the frame of conformable derivatives, Advances in Difference Equations, 2017(1) 1-10.
- [7] Abdeljawad, T., Agarwal, R. P., Alzabut, J., Jarad, F., Özbekler, A., Lyapunov-type inequalities for mixed non-linear forced differential equations within conformable derivatives, Journal of Inequalities and Applications, 1 (2018) 1-17.
- [8] Atangana, A., Baleanu, D., Alsaedi, A., New properties of conformable derivative, Open Mathematics, 13(1) (2015).
- [9] Anderson, D. R., Ulness, D. J., Newly Defined Comformable Derivatives Centered Polygonal Lacunary Functions View project Dynamic Equations on Times Scales View Project Newly Defined Comformable Derivatives, Advances in Dynamical Systems and Applications, 10(2) (2015) 109-137.
- [10] Aminikhah H., Sheikhani A.H.R., Rezazadeh H., Sub-equation method fort he fractional regularized long-wave equations with comformable fractional derivatives, Sci. Iran, 23 (2016) 1048-1054.