Accès libre

Numerical Solutions with Linearization Techniques of the Fractional Harry Dym Equation

À propos de cet article

Citez

Al-Khaled, K. and Alquran, M. (2014). An approximate solution for a fractional model of generalized Harry Dym equation. Mathematical Sciences, 8(4), 125-130. Al-Khaled K. Alquran M. 2014 An approximate solution for a fractional model of generalized Harry Dym equation Mathematical Sciences 84 125130Search in Google Scholar

Biswas, A., Mirzazadeh, M., Eslami, M., Milovic, D., & Belic, M. (2014). Solitons in optical metamaterials by functional variable method and first integral approach. Frequenz, 68(11-12), 525-530. Biswas A. Mirzazadeh M. Eslami M. Milovic D. Belic M. 2014 Solitons in optical metamaterials by functional variable method and first integral approach Frequenz 6811-12 525530Search in Google Scholar

Baskonus, H., Mekkaoui, T., Hammouch, Z., and Bulut, H. (2015). Active control of a chaotic fractional order economic system. Entropy, 17(8), 5771-5783. Baskonus H. Mekkaoui T. Hammouch Z. Bulut H. 2015 Active control of a chaotic fractional order economic system Entropy 178 57715783Search in Google Scholar

Das, S. (2011). Functional fractional calculus. Springer Science & Business Media. Das S. 2011 Functional fractional calculus Springer Science & Business MediaSearch in Google Scholar

Esen, A., Ucar, Y., Yagmurlu, N. and Tasbozan, O. (2013). A Galerkin finite element method to solve fractional diffusion and fractional diffusion-wave equations. Mathematical Modelling and Analysis, 18(2), 260-273. Esen A. Ucar Y. Yagmurlu N. Tasbozan O. 2013 A Galerkin finite element method to solve fractional diffusion and fractional diffusion-wave equations Mathematical Modelling and Analysis 182 260273Search in Google Scholar

Ravichandran, C., Jothimani, K., Baskonus, H. M., and Valliammal, N. (2018). New results on nondensely characterized integrodifferential equations with fractional order. The European Physical Journal Plus, 133(3), 109. Ravichandran C. Jothimani K. Baskonus H. M. Valliammal N. 2018 New results on nondensely characterized integrodifferential equations with fractional order The European Physical Journal Plus 1333 109Search in Google Scholar

Kaya, D., Gülbahar, S., Yokuş, A. and Gülbahar, M. (2018). Solutions of the fractional combined KdV–mKdV equation with collocation method using radial basis function and their geometrical obstructions. Advances in Difference Equations, 2018(1), 77. Kaya D. Gülbahar S. Yokuş A. Gülbahar M. 2018 Solutions of the fractional combined KdV–mKdV equation with collocation method using radial basis function and their geometrical obstructions Advances in Difference Equations 20181 77Search in Google Scholar

Kumar, D., Singh, J. and Kılıçman, A. (2013). An efficient approach for fractional Harry Dym Equation by Using Sumudu Transform, Abstr. Appl. Anal., 2013, Article ID 608943, 8. Kumar D. Singh J. Kılıçman A. 2013 An efficient approach for fractional Harry Dym Equation by Using Sumudu Transform Abstr. Appl. Anal 2013, Article ID 608943 8Search in Google Scholar

Kumar, S., Tripathi, M.P. and Singh, O.P. (2013). A fractional model of Harry Dym equation and its approximate solution, Ain Shams Eng. J., 4 , 111-115. Kumar S. Tripathi M.P. Singh O.P. 2013 A fractional model of Harry Dym equation and its approximate solution Ain Shams Eng. J 4 111115Search in Google Scholar

Kruskal, M. (1975). Nonlinear Wave Equations. In Jürgen Moser, editor, Dynamical Systems, Theory and Applications,Heidelberg. Springer. 38, 310–354. Kruskal M. 1975 Nonlinear Wave Equations Jürgen Moser Dynamical Systems, Theory and ApplicationsHeidelberg Springer 38 310354Search in Google Scholar

Rawashdeh, M., S. (2014). New approach to solve the fractional Harry Dym equation using the FRDTM, Int. J. Pure Appl. Math., 95, 553-566. Rawashdeh M., S. 2014 New approach to solve the fractional Harry Dym equation using the FRDTM Int. J. Pure Appl. Math 95 553566Search in Google Scholar

Kaya, D., Yokuş, A. ( 2014). Stability Analysis and Numerical Solutions for Time Fractional KdVB Equation, International Comference on Computational Experimental Science and Engineering, Antalya. Kaya D. Yokuş A. 2014 Stability Analysis and Numerical Solutions for Time Fractional KdVB Equation, International Comference on Computational Experimental Science and Engineering AntalyaSearch in Google Scholar

Esen, A., Sulaiman, T. A., Bulut, H., and Baskonus, H. M. (2018). Optical solitons to the space-time fractional (1+ 1)-dimensional coupled nonlinear Schrdinger equation. Optik, 167, 150-156. Esen A. Sulaiman T. A. Bulut H. Baskonus H. M. 2018 Optical solitons to the space-time fractional (1+ 1)-dimensional coupled nonlinear Schrdinger equation Optik 167 150156Search in Google Scholar

Yang, X. J., Gao, F., Machado, J. A., and Baleanu, D. (2017). A new fractional derivative involving the normalized sinc function without singular kernel. arXiv preprint arXiv:1701.05590. Yang X. J. Gao F. Machado J. A. Baleanu D. 2017 A new fractional derivative involving the normalized sinc function without singular kernel arXiv preprint arXiv:1701.05590Search in Google Scholar

Yavuz, M., Ozdemir, N. and Baskonus, H. M. (2018). Solutions of partial differential equations using the fractional operator involving Mittag-Leffler kernel. The European Physical Journal Plus, 133(6), 215. Yavuz M. Ozdemir N. Baskonus H. M. 2018 Solutions of partial differential equations using the fractional operator involving Mittag-Leffler kernel The European Physical Journal Plus 1336 215Search in Google Scholar

Yavuz, M. (2019). Characterizations of two different fractional operators without singular kernel. Mathematical Modelling of Natural Phenomena, 14(3), 302. Yavuz M. 2019 Characterizations of two different fractional operators without singular kernel Mathematical Modelling of Natural Phenomena 143 302Search in Google Scholar

Bulut, H., Kumar, D., Singh, J., Swroop, R., and Baskonus, H. M. (2018). Analytic study for a fractional model of HIV infection of CD4+ TCD4+ T lymphocyte cells. Math. Nat. Sci, 2(1), 33-43. Bulut H. Kumar D. Singh J. Swroop R. Baskonus H. M. 2018 Analytic study for a fractional model of HIV infection of CD4+ TCD4+ T lymphocyte cells Math. Nat. Sci 21 3343Search in Google Scholar

Baskonus, H. M., Hammouch, Z., Mekkaoui, T., and Bulut, H. (2016, June). Chaos in the fractional order logistic delay system: Circuit realization and synchronization. In AIP Conference Proceedings (Vol. 1738, No. 1, p. 290005). AIP Publishing. Baskonus H. M. Hammouch Z. Mekkaoui T. Bulut H. 2016 Chaos in the fractional order logistic delay system: Circuit realization and synchronization AIP Conference Proceedings 1738 1Search in Google Scholar

Bulut, H., Yel, G., Bakonu, H. M. (2016). An application of improved Bernoulli sub-equation function method to the nonlinear time-fractional burgers equation. Turkish Journal of Mathematics and Computer Science, 5, 1-7. Bulut H. Yel G. Bakonu H. M. 2016 An application of improved Bernoulli sub-equation function method to the nonlinear time-fractional burgers equation Turkish Journal of Mathematics and Computer Science 5 17Search in Google Scholar

eISSN:
2444-8656
Langue:
Anglais
Périodicité:
Volume Open
Sujets de la revue:
Life Sciences, other, Mathematics, Applied Mathematics, General Mathematics, Physics