Novel exact solutions of the fractional Bogoyavlensky–Konopelchenko equation involving the Atangana-Baleanu-Riemann derivative
暂无分享,去创建一个
Devendra Kumar | Kottakkaran Sooppy Nisar | Mostafa M. A. Khater | Behzad Ghanbari | Devendra Kumar | M. Khater | K. Nisar | B. Ghanbari
[1] Feng Gao,et al. A new technology for solving diffusion and heat equations , 2017 .
[2] J. F. Gómez‐Aguilar,et al. Analytical solutions of electrical circuits described by fractional conformable derivatives in Liouville-Caputo sense , 2018 .
[3] O. P. Singh,et al. Fractional order operational matrix methods for fractional singular integro-differential equation , 2016 .
[4] M. Inç,et al. A new generalized exponential rational function method to find exact special solutions for the resonance nonlinear Schrödinger equation , 2018 .
[5] Wen-Xiu Ma,et al. Exact Solutions to a Generalized Bogoyavlensky-Konopelchenko Equation via Maple Symbolic Computations , 2019, Complex..
[6] Mostafa M. A. Khater,et al. On the stable computational, semi-analytical, and numerical solutions of the Langmuir waves in an ionized plasma , 2020, J. Intell. Fuzzy Syst..
[7] S. Qureshi,et al. Monotonically decreasing behavior of measles epidemic well captured by Atangana–Baleanu–Caputo fractional operator under real measles data of Pakistan , 2020 .
[8] Hossein Aminikhah,et al. Sub-equation method for the fractional regularized long-wave equations with conformable fractional derivatives , 2016 .
[9] José Francisco Gómez-Aguilar,et al. A new modified definition of Caputo-Fabrizio fractional-order derivative and their applications to the Multi Step Homotopy Analysis Method (MHAM) , 2019, J. Comput. Appl. Math..
[10] H. Yépez-Martínez,et al. Fractional sub-equation method for Hirota–Satsuma-coupled KdV equation and coupled mKdV equation using the Atangana’s conformable derivative , 2019 .
[11] Jordan Hristov,et al. Derivatives with Non-Singular Kernels from the Caputo-Fabrizio Definition and Beyond: Appraising Analysis with Emphasis on Diffusion Models , 2018 .
[12] José Francisco Gómez-Aguilar,et al. Fractional conformable derivatives of Liouville–Caputo type with low-fractionality , 2018, Physica A: Statistical Mechanics and its Applications.
[13] Yun-Hu Wang,et al. Lump-type solutions and lump solutions for the (2+1)-dimensional generalized Bogoyavlensky-Konopelchenko equation , 2019, Comput. Math. Appl..
[14] Dianchen Lu,et al. The plethora of explicit solutions of the fractional KS equation through liquid–gas bubbles mix under the thermodynamic conditions via Atangana–Baleanu derivative operator , 2020, Advances in Difference Equations.
[15] J. M. Sigarreta,et al. Analysis of the local Drude model involving the generalized fractional derivative , 2019, Optik.
[16] Dark Peakon, Kink and periodic solutions of the nonlinear Biswas–Milovic equation with Kerr law nonlinearity , 2020 .
[17] Harendra Singh. Operational matrix approach for approximate solution of fractional model of Bloch equation , 2017 .
[18] Dumitru Baleanu,et al. Methods of Mathematical Modelling , 2019 .
[19] M. Khater,et al. Approximate Simulations for the Non-linear Long-Short Wave Interaction System , 2020, Frontiers of Physics.
[20] M. Osman,et al. New optical solitary wave solutions of Fokas-Lenells equation in presence of perturbation terms by a novel approach , 2018, Optik.
[21] J. F. Gómez‐Aguilar,et al. M-derivative applied to the soliton solutions for the Lakshmanan–Porsezian–Daniel equation with dual-dispersion for optical fibers , 2019, Optical and Quantum Electronics.
[22] Dumitru Baleanu,et al. On the analysis of vibration equation involving a fractional derivative with Mittag‐Leffler law , 2019, Mathematical Methods in the Applied Sciences.
[23] J. F. Gómez‐Aguilar,et al. New exact optical soliton solutions for nonlinear Schrödinger equation with second-order spatio-temporal dispersion involving M-derivative , 2019, Modern Physics Letters B.
[24] Dumitru Baleanu,et al. A new analysis of the Fornberg-Whitham equation pertaining to a fractional derivative with Mittag-Leffler-type kernel , 2018 .
[25] Xiao‐Jun Yang,et al. Fractal boundary value problems for integral and differential equations with local fractional operators , 2013 .
[26] J. F. Gómez‐Aguilar,et al. New singular soliton solutions to the longitudinal wave equation in a magneto-electro-elastic circular rod with M-derivative , 2019, Modern Physics Letters B.
[27] M. Khater,et al. Optical wave solutions of the higher-order nonlinear Schrödinger equation with the non-Kerr nonlinear term via modified Khater method , 2020 .
[28] Hari M. Srivastava,et al. A reliable numerical algorithm for the fractional vibration equation , 2017 .
[29] Abdon Atangana,et al. Numerical approximation of nonlinear fractional parabolic differential equations with Caputo-Fabrizio derivative in Riemann-Liouville sense , 2017 .
[30] Siu-Long Lei,et al. High order finite difference method for time-space fractional differential equations with Caputo and Riemann-Liouville derivatives , 2015, Numerical Algorithms.
[31] Hasan Bulut,et al. Cancer treatment model with the Caputo-Fabrizio fractional derivative , 2018 .
[32] Jagdev Singh,et al. A reliable numerical algorithm for fractional advection–dispersion equation arising in contaminant transport through porous media , 2019, Physica A: Statistical Mechanics and its Applications.
[33] H. Yépez-Martínez,et al. Optical solitons solution of resonance nonlinear Schrödinger type equation with Atangana's-conformable derivative using sub-equation method , 2019, Waves in Random and Complex Media.
[34] Devendra Kumar,et al. A Reliable Numerical Algorithm for the Fractional Klein-Gordon Equation , 2019 .
[35] Devendra Kumar,et al. A reliable algorithm for the approximate solution of the nonlinear Lane‐Emden type equations arising in astrophysics , 2018 .
[36] Harendra Singh. An efficient computational method for the approximate solution of nonlinear Lane-Emden type equations arising in astrophysics , 2018 .
[37] B. Ghanbari,et al. Exact traveling wave solutions for resonance nonlinear Schrödinger equation with intermodal dispersions and the Kerr law nonlinearity , 2019, Mathematical Methods in the Applied Sciences.
[38] J. F. Gómez‐Aguilar,et al. First integral method for non-linear differential equations with conformable derivative , 2018 .
[39] M. Khater,et al. Study on the solitary wave solutions of the ionic currents on microtubules equation by using the modified Khater method , 2019, Thermal Science.
[40] Abdon Atangana,et al. Numerical approximation of Riemann‐Liouville definition of fractional derivative: From Riemann‐Liouville to Atangana‐Baleanu , 2018 .
[41] H. Tajadodi,et al. A Numerical approach of fractional advection-diffusion equation with Atangana–Baleanu derivative , 2020 .
[42] D. Baleanu,et al. A novel technique to construct exact solutions for nonlinear partial differential equations , 2019, The European Physical Journal Plus.
[43] Marwan Al-Raeei,et al. On: New optical soliton solutions for nonlinear complex fractional Schrödinger equation via new auxiliary equation method and novel (G$$^{\prime }/$$G)-expansion method , 2019, Pramana.
[44] M. Belić,et al. Optical soliton perturbation with fractional-temporal evolution by first integral method with conformable fractional derivatives , 2016 .
[45] Harendra Singh,et al. Approximate solution of fractional vibration equation using Jacobi polynomials , 2018, Appl. Math. Comput..
[46] XIAO-JUN YANG,et al. NEW GENERAL FRACTIONAL-ORDER RHEOLOGICAL MODELS WITH KERNELS OF MITTAG-LEFFLER FUNCTIONS , 2017 .
[47] Dumitru Baleanu,et al. New Solutions of Gardner's Equation Using Two Analytical Methods , 2019, Front. Phys..
[48] J. F. Gómez‐Aguilar,et al. Fractional conformable attractors with low fractality , 2018, Mathematical Methods in the Applied Sciences.
[49] Mostafa M. A. Khater,et al. Ample soliton waves for the crystal lattice formation of the conformable time-fractional (N + 1) Sinh-Gordon equation by the modified Khater method and the Painlevé property , 2020, J. Intell. Fuzzy Syst..
[50] Chaudry Masood Khalique,et al. Travelling waves and conservation laws of a (2+1)-dimensional coupling system with Korteweg-de Vries equation , 2018, Applied Mathematics and Nonlinear Sciences.
[51] Abdel-Haleem Abdel-Aty,et al. On new computational and numerical solutions of the modified Zakharov–Kuznetsov equation arising in electrical engineering , 2020 .
[52] Mostafa M. A. Khater,et al. Analytical, semi-analytical, and numerical solutions for the Cahn–Allen equation , 2020 .
[53] Devendra Kumar,et al. A new fractional exothermic reactions model having constant heat source in porous media with power, exponential and Mittag-Leffler laws , 2019, International Journal of Heat and Mass Transfer.