%0 Journal Article %T Mathematical study of smoking model by incorporating campaign class %A O. J. Algahtani %A A. Zeb %A G. Zaman %A S. Momani %A I. H. Jung %J Wulfenia %D 2015 %V 22 %F Algahtani2015 %0 Journal Article %T Chua’s circuit model with Atangana-Baleanu derivative with fractional order %A B. S. T. Alkahtani %J Chaos Solitons Fractals %D 2016 %V 89 %F Alkahtani 2016 %0 Journal Article %T New Fractional Derivatives with Nonlocal and Non-Singular Kernel: Theory and Application to Heat Transfer Model %A A. Atangana %A D. Baleanu %J Therm Sci. %D 2016 %V 20 %F Atangana2016 %0 Journal Article %T Model of Thin Viscous Fluid Sheet Flow within the Scope of Fractional Calculus: Fractional Derivative with and No Singular Kernel %A A. Atangana %A I. Koca %J Fund. Inform. %D 2017 %V 151 %F Atangana2017 %0 Book %T Mathematical models for the dynamics of tobacco use, recovery, and relapse %A C. Castillo-Garsow %A G. Jordan-Salivia %A A. R. Herrera %D 1997 %I Technical Report Series BU-1505-M, Cornell University %C Ithaca %F Castillo-Garsow1997 %0 Journal Article %T Analytical techniques for system of time fractional nonlinear differential equations %A J. S. Choi %A D. Kumar %A J. Singh %A R. Swroop %J J. Korean Math. Soc. %D 2017 %V 54 %F Choi2017 %0 Journal Article %T Detailed error analysis for a fractional Adams method %A K. Diethelm %A N. J. Ford %A A. D. Freed %J Numer. Algorithms %D 2004 %V 36 %F Diethelm2004 %0 Journal Article %T Qualitative behavior of a smoking model %A Q. Din %A M. Ozair %A T. Hussain %A U. Saeed %J Adv. Difference Equ. %D 2016 %V 2016 %F Din2016 %0 Journal Article %T A numeric-analytic method for approximating a giving up smoking model containing fractional derivatives %A V. S. Ertürk %A G. Zaman %A S. Momani %J Comput. Math. Appl. %D 2012 %V 64 %F Ertürk2012 %0 Journal Article %T Numerical solution of fractional order smoking model via laplace Adomian decomposition method %A F. Haq %A K. Shah %A G. ur Rahman %A M. Shahzad %J Alexandria Engineering Journal %D 2017 %V 2017 %F Haq2017 %0 Journal Article %T Integral balance solutions to applied models involving time-fractional derivatives-The scope of the method and results thereof %A J. Hristov %J Commun. Frac. Calc. %D 2013 %V 4 %F Hristov 2013 %0 Journal Article %T Integral-Balance Solution to Nonlinear Subdiffusion Equation %A J. Hristov %J Frontiers in Fractional Calculus %D 2017 %V 2017 %F Hristov2017 %0 Journal Article %T A new analytical modelling for telegraph equation via Laplace transform %A S. Kumar %J Appl. Math. Model. %D 2014 %V 38 %F Kumar2014 %0 Journal Article %T A new analysis for the Keller-Segel model of fractional order %A S. Kumar %A A. Kumar %A I. K. Argyros %J Numer. Algorithms %D 2017 %V 75 %F Kumar2017 %0 Journal Article %T New analytical method for gas dynamic equation arising in shock fronts %A S. Kumar %A M. M. Rashidi %J Comput. Phys. Commun. %D 2014 %V 185 %F Kumar2014 %0 Journal Article %T Analysis of logistic equation pertaining to a new fractional derivative with non-singular kernel %A D. Kumar %A J. Singh %A M. M. Al Qurashi %A D. Baleanu %J Adv. Mech. Eng. %D 2017 %V 9 %F Kumar2017 %0 Journal Article %T A new numerical algorithm for fractional Fitzhugh-Nagumo equation arising in transmission of nerve impulses %A D. Kumar %A J. Singh %A D. Baleanu %J Nonlinear Dynam. %D 2018 %V 91 %F Kumar2018 %0 Journal Article %T A new analysis of the Fornberg-Whitham equation pertaining to a fractional derivative with Mittag-Leffler-type kernel %A D. Kumar %A J. Singh %A D. Baleanu %J D. Eur. Phys. J. Plus %D 2018 %V 133 %F Kumar2018 %0 Journal Article %T Analysis of regularized long-wave equation associated with a new fractional operator with Mittag-Leffler type kernel %A D. Kumar %A J. Singh %A D. Baleanu %A Sushila %J Phys. A %D 2018 %V 492 %F Kumar2018 %0 Journal Article %T On the fractional Adams method %A C. P. Li %A C. X. Tao %J Comput. Math. Appl. %D 2009 %V 58 %F Li2009 %0 Journal Article %T An adaptation of homotopy analysis method for reliable treatment of strongly nonlinear problems: construction of homotopy polynomials %A Z. Odibat %A A. S. Bataineh %J Math. Meth. Appl. Sci. %D 2015 %V 38 %F Odibat2015 %0 Journal Article %T Mathematical analysis and numerical simulation of chaotic noninteger order differential systems with Riemann-Liouville derivative %A K. M. Owolabi %J Numer. Methods Partial Differential Equations %D 2018 %V 34 %F Owolabi 2018 %0 Journal Article %T Mathematical modelling and analysis of two-component system with Caputo fractional derivative order %A K. M. Owolabi %J Chaos Solitons Fractals %D 2017 %V 103 %F Owolabi 2017 %0 Journal Article %T Robust and adaptive techniques for numerical simulation of nonlinear partial differential equations of fractional order %A K. M. Owolabi %J Commun. Nonlinear Sci. Numer. Simul. %D 2017 %V 44 %F Owolabi 2017 %0 Journal Article %T Numerical approximation of nonlinear fractional parabolic differential equations with Caputo-Fabrizio derivative in Riemann-Liouville sense %A K. M. Owolabi %A A. Atangana %J Chaos Solitons Fractals %D 2017 %V 99 %F Owolabi2017 %0 Journal Article %T Numerical Simulation of Noninteger Order System in Subdiffusive, Diffusive, and Superdiffusive Scenarios %A K. M. Owolabi %A A. Atangana %J J. Comput. Nonlinear Dynam %D 2017 %V 12 %F Owolabi2017 %0 Book %T Fractional Differential Equations %A I. Podlubny %D 1999 %I Academic Press %C San Diego %F Podlubny1999 %0 Journal Article %T Linear and non-linear free vibration of nano beams based on a new fractional non-local theory %A Z. Rahimi %A W. Sumelka %A X. J. Yang %J Engineering Computations %D 2017 %V 34 %F Rahimi2017 %0 Journal Article %T Optimal q-homotopy analysis method for time-space fractional gas dynamics equation %A K. M. Saad %A E. H. AL-Shareef %A M. S. Mohamed %A X. J. 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Kumar %J Int. J. Biomath. %D 2015 %V 8 %F Yadav2015 %0 Journal Article %T Qualitative behavior of giving up smoking models %A G. Zaman %J Bull. Malays. Math. Sci. Soc. %D 2011 %V 34 %F Zaman2011 %0 Journal Article %T Optimal control strategies in square root dynamics of smoking model %A A. Zeb %A F. Bibi %A G. Zaman %J International Journal of Scientific World %D 2015 %V 3 %F Zeb2015 %0 Journal Article %T Approximating a Giving Up Smoking Dynamic on Adolescent Nicotine Dependence in Fractional Order %A A. Zeb %A G. Zaman %A V. S. Erturk %A B. Alzalg %A F. Yousafzai %A M. Khan %J PloS one %D 2016 %V 11 %F Zeb2016 %0 Journal Article %T A Comprehensive Survey on Fractional Fourier Transform %A Y. D. Zhang %A S. H. Wang %A J.-F. Yang %A Z. Zhang %A P. Phillips %A P. Sun %A J. Yan %J Fund. Inform. %D 2017 %V 151 %F Zhang2017