Fractional Newton mechanics with conformable fractional derivative

Keywords

Fractional calculus, Mathematics, Conformable matrix, Harmonic oscillator, Mathematical analysis

References

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• Variational approach and deformed derivativesJosé Weberszpil, J. A. Helayël-Neto — 2015
• Existence of solution to a local fractional nonlinear differential equationBenaoumeur Bayour, Delfim F. M. Torres — 2016
• Solutions around a Regular α Singular Point of a Sequential Conformable Fractional Differential EquationEmrah Ünal, Ahmet Gökdoğan, Ercan Çeli̇k — 2015
• Exact traveling wave solutions to the fractional coupled nonlinear Schrodinger equationsMostafa Eslami — 2016
• New exact solutions of Burgers’ type equations with conformable derivativeYücel Çenesiz, Dumitru Bǎleanu, Ali Kurt — 2017
• New solutions for conformable fractional Boussinesq and combined KdV-mKdV equations using Jacobi elliptic function expansion methodOrkun Taşbozan, Yücel Çenesiz, Ali Kurt — 2016
• A fractional derivative with non-singular kernel for interval-valued functions under uncertaintySoheil Salahshour, Ali Ahmadian, Fudziah Ismail — 2017
• On the analytical solutions of the system of conformable time-fractional Robertson equations with 1-D diffusionOlaniyi S. Iyiola, Orkun Taşbozan, Ali Kurt — 2017
• Newly Defined Conformable DerivativesDouglas R. Anderson, Darin J. Ulness — 2015
• New traveling wave exact and approximate solutions for the nonlinear Cahn–Allen equation: evolution of a nonconserved quantityHira Tariq, Ghazala Akram — 2017
• Dynamics of a Particle in a Viscoelastic Medium with Conformable DerivativeWon Sang Chung, H. Hassanabadi — 2017
• General conformable fractional derivative and its physical interpretationDazhi Zhao, Maokang Luo — 2017
• Numerical analysis of a fractional-order chaotic system based on conformable fractional-order derivativeShaobo He, Kehui Sun, Xiaoyong Mei — 2017
• Functional Variable Method for conformable fractional modified KdV-ZK equation and Maccari systemYücel Çenesiz, Orkun Taşbozan, Ali Kurt — 2017
• A New Numerical Technique For Solving Fractional Partial Differential EquationsOmer Acan, Dumitru Bǎleanu — 2017
• Discussion on Barbalat Lemma extensions for conformable fractional integralsAbdourazek Souahi, Omar Naifar, Abdellatif Ben Makhlouf — 2019
• New exact solution of generalized biological population modelOmer Acan, M. M. Qurashi, Dumitru Bǎleanu — 2017
• Exact solutions to the space–time fractional Schrödinger–Hirota equation and the space–time modified KDV–Zakharov–Kuznetsov equationMostafa Eslami, Hadi Rezazadeh, Mohammadreza Rezazadeh — 2017
• On the New Solutions of the Conformable Time Fractional Generalized Hirota-Satsuma Coupled KdV SystemYücel Çenesiz, Ali Kurt, Orkun Taşbozan — 2017
• The extremal iteration solution to a coupled system of nonlinear conformable fractional differential equationsSuli Liu, Han Wang, LI Xiao-ping — 2017

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