TY - JOUR TI - Mathematical study of smoking model by incorporating campaign class AU - O. J. Algahtani AU - A. Zeb AU - G. Zaman AU - S. Momani AU - I. H. Jung JO - Wulfenia PY - 2015 DA - 2015// VL - 22 ID - Algahtani2015 ER - TY - JOUR TI - Chua’s circuit model with Atangana-Baleanu derivative with fractional order AU - B. S. T. Alkahtani JO - Chaos Solitons Fractals PY - 2016 DA - 2016// VL - 89 ID - Alkahtani 2016 ER - TY - JOUR TI - New Fractional Derivatives with Nonlocal and Non-Singular Kernel: Theory and Application to Heat Transfer Model AU - A. Atangana AU - D. Baleanu JO - Therm Sci. PY - 2016 DA - 2016// VL - 20 ID - Atangana2016 ER - TY - JOUR TI - Model of Thin Viscous Fluid Sheet Flow within the Scope of Fractional Calculus: Fractional Derivative with and No Singular Kernel AU - A. Atangana AU - I. Koca JO - Fund. Inform. PY - 2017 DA - 2017// VL - 151 ID - Atangana2017 ER - TY - BOOK TI - Mathematical models for the dynamics of tobacco use, recovery, and relapse AU - C. Castillo-Garsow AU - G. Jordan-Salivia AU - A. R. Herrera PB - Technical Report Series BU-1505-M, Cornell University PY - 1997 DA - 1997// CY - Ithaca ID - Castillo-Garsow1997 ER - TY - JOUR TI - Analytical techniques for system of time fractional nonlinear differential equations AU - J. S. Choi AU - D. Kumar AU - J. Singh AU - R. Swroop JO - J. Korean Math. Soc. PY - 2017 DA - 2017// VL - 54 ID - Choi2017 ER - TY - JOUR TI - Detailed error analysis for a fractional Adams method AU - K. Diethelm AU - N. J. Ford AU - A. D. Freed JO - Numer. Algorithms PY - 2004 DA - 2004// VL - 36 ID - Diethelm2004 ER - TY - JOUR TI - Qualitative behavior of a smoking model AU - Q. Din AU - M. Ozair AU - T. Hussain AU - U. Saeed JO - Adv. Difference Equ. PY - 2016 DA - 2016// VL - 2016 ID - Din2016 ER - TY - JOUR TI - A numeric-analytic method for approximating a giving up smoking model containing fractional derivatives AU - V. S. Ertürk AU - G. Zaman AU - S. Momani JO - Comput. Math. Appl. PY - 2012 DA - 2012// VL - 64 ID - Ertürk2012 ER - TY - JOUR TI - Numerical solution of fractional order smoking model via laplace Adomian decomposition method AU - F. Haq AU - K. Shah AU - G. ur Rahman AU - M. Shahzad JO - Alexandria Engineering Journal PY - 2017 DA - 2017// VL - 2017 ID - Haq2017 ER - TY - JOUR TI - Integral balance solutions to applied models involving time-fractional derivatives-The scope of the method and results thereof AU - J. Hristov JO - Commun. Frac. Calc. PY - 2013 DA - 2013// VL - 4 ID - Hristov 2013 ER - TY - JOUR TI - Integral-Balance Solution to Nonlinear Subdiffusion Equation AU - J. Hristov JO - Frontiers in Fractional Calculus PY - 2017 DA - 2017// VL - 2017 ID - Hristov2017 ER - TY - JOUR TI - A new analytical modelling for telegraph equation via Laplace transform AU - S. Kumar JO - Appl. Math. Model. PY - 2014 DA - 2014// VL - 38 ID - Kumar2014 ER - TY - JOUR TI - A new analysis for the Keller-Segel model of fractional order AU - S. Kumar AU - A. Kumar AU - I. K. Argyros JO - Numer. Algorithms PY - 2017 DA - 2017// VL - 75 ID - Kumar2017 ER - TY - JOUR TI - New analytical method for gas dynamic equation arising in shock fronts AU - S. Kumar AU - M. M. Rashidi JO - Comput. Phys. Commun. PY - 2014 DA - 2014// VL - 185 ID - Kumar2014 ER - TY - JOUR TI - Analysis of logistic equation pertaining to a new fractional derivative with non-singular kernel AU - D. Kumar AU - J. Singh AU - M. M. Al Qurashi AU - D. Baleanu JO - Adv. Mech. Eng. PY - 2017 DA - 2017// VL - 9 ID - Kumar2017 ER - TY - JOUR TI - A new numerical algorithm for fractional Fitzhugh-Nagumo equation arising in transmission of nerve impulses AU - D. Kumar AU - J. Singh AU - D. Baleanu JO - Nonlinear Dynam. PY - 2018 DA - 2018// VL - 91 ID - Kumar2018 ER - TY - JOUR TI - A new analysis of the Fornberg-Whitham equation pertaining to a fractional derivative with Mittag-Leffler-type kernel AU - D. Kumar AU - J. Singh AU - D. Baleanu JO - D. Eur. Phys. J. Plus PY - 2018 DA - 2018// VL - 133 ID - Kumar2018 ER - TY - JOUR TI - Analysis of regularized long-wave equation associated with a new fractional operator with Mittag-Leffler type kernel AU - D. Kumar AU - J. Singh AU - D. Baleanu AU - Sushila JO - Phys. A PY - 2018 DA - 2018// VL - 492 ID - Kumar2018 ER - TY - JOUR TI - On the fractional Adams method AU - C. P. Li AU - C. X. Tao JO - Comput. Math. Appl. PY - 2009 DA - 2009// VL - 58 ID - Li2009 ER - TY - JOUR TI - An adaptation of homotopy analysis method for reliable treatment of strongly nonlinear problems: construction of homotopy polynomials AU - Z. Odibat AU - A. S. Bataineh JO - Math. Meth. Appl. Sci. PY - 2015 DA - 2015// VL - 38 ID - Odibat2015 ER - TY - JOUR TI - Mathematical analysis and numerical simulation of chaotic noninteger order differential systems with Riemann-Liouville derivative AU - K. M. Owolabi JO - Numer. Methods Partial Differential Equations PY - 2018 DA - 2018// VL - 34 ID - Owolabi 2018 ER - TY - JOUR TI - Mathematical modelling and analysis of two-component system with Caputo fractional derivative order AU - K. M. Owolabi JO - Chaos Solitons Fractals PY - 2017 DA - 2017// VL - 103 ID - Owolabi 2017 ER - TY - JOUR TI - Robust and adaptive techniques for numerical simulation of nonlinear partial differential equations of fractional order AU - K. M. Owolabi JO - Commun. Nonlinear Sci. Numer. Simul. PY - 2017 DA - 2017// VL - 44 ID - Owolabi 2017 ER - TY - JOUR TI - Numerical approximation of nonlinear fractional parabolic differential equations with Caputo-Fabrizio derivative in Riemann-Liouville sense AU - K. M. Owolabi AU - A. Atangana JO - Chaos Solitons Fractals PY - 2017 DA - 2017// VL - 99 ID - Owolabi2017 ER - TY - JOUR TI - Numerical Simulation of Noninteger Order System in Subdiffusive, Diffusive, and Superdiffusive Scenarios AU - K. M. Owolabi AU - A. Atangana JO - J. Comput. Nonlinear Dynam PY - 2017 DA - 2017// VL - 12 ID - Owolabi2017 ER - TY - BOOK TI - Fractional Differential Equations AU - I. Podlubny PB - Academic Press PY - 1999 DA - 1999// CY - San Diego ID - Podlubny1999 ER - TY - JOUR TI - Linear and non-linear free vibration of nano beams based on a new fractional non-local theory AU - Z. Rahimi AU - W. Sumelka AU - X. J. Yang JO - Engineering Computations PY - 2017 DA - 2017// VL - 34 ID - Rahimi2017 ER - TY - JOUR TI - Optimal q-homotopy analysis method for time-space fractional gas dynamics equation AU - K. M. Saad AU - E. H. AL-Shareef AU - M. S. Mohamed AU - X. J. Yang JO - D. Eur. Phys. J. Plus PY - 2017 DA - 2017// VL - 132 ID - Saad2017 ER - TY - JOUR TI - Curtailing smoking dynamics: a mathematical modeling approach AU - O. Sharomi AU - A. B. Gumel JO - Appl. Math. Comput. PY - 2008 DA - 2008// VL - 195 ID - Sharomi2008 ER - TY - JOUR TI - A new fractional model for giving up smoking dynamics AU - J. Singh AU - D. Kumar AU - M. Al Qurashi AU - D. Baleanu JO - Adv. Difference Equ. PY - 2017 DA - 2017// VL - 2017 ID - Singh2017 ER - TY - JOUR TI - A fractional epidemiological model for computer viruses pertaining to a new fractional derivative AU - J. Singh AU - D. Kumar AU - Z. Hammouch AU - A. Atangana JO - Appl. Math. Comput. PY - 2018 DA - 2018// VL - 316 ID - Singh2018 ER - TY - JOUR TI - Application of fractional calculus in modelling ballast deformation under cyclic loading AU - Y. Sun AU - B. Indraratna AU - J. P. Carter AU - T. Marchant AU - S. Nimbalkar JO - Comput. Geotech. PY - 2017 DA - 2017// VL - 82 ID - Sun2017 ER - TY - JOUR TI - Mathematical model for smoking: Effect of determination and education AU - A. Yadav AU - P. K. Srivastava AU - A. Kumar JO - Int. J. Biomath. PY - 2015 DA - 2015// VL - 8 ID - Yadav2015 ER - TY - JOUR TI - Qualitative behavior of giving up smoking models AU - G. Zaman JO - Bull. Malays. Math. Sci. Soc. PY - 2011 DA - 2011// VL - 34 ID - Zaman2011 ER - TY - JOUR TI - Optimal control strategies in square root dynamics of smoking model AU - A. Zeb AU - F. Bibi AU - G. Zaman JO - International Journal of Scientific World PY - 2015 DA - 2015// VL - 3 ID - Zeb2015 ER - TY - JOUR TI - Approximating a Giving Up Smoking Dynamic on Adolescent Nicotine Dependence in Fractional Order AU - A. Zeb AU - G. Zaman AU - V. S. Erturk AU - B. Alzalg AU - F. Yousafzai AU - M. Khan JO - PloS one PY - 2016 DA - 2016// VL - 11 ID - Zeb2016 ER - TY - JOUR TI - A Comprehensive Survey on Fractional Fourier Transform AU - Y. D. Zhang AU - S. H. Wang AU - J.-F. Yang AU - Z. Zhang AU - P. Phillips AU - P. Sun AU - J. Yan JO - Fund. Inform. PY - 2017 DA - 2017// VL - 151 ID - Zhang2017 ER -