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  1. Research

    A new fractional model for giving up smoking dynamics

    The key purpose of the present work is to examine a fractional giving up smoking model pertaining to a new fractional derivative with non-singular kernel. The numerical simulations are conducted with the aid o...

    Jagdev Singh, Devendra Kumar, Maysaa Al Qurashi and Dumitru Baleanu

    Advances in Difference Equations 2017 2017:88

    Published on: 23 March 2017

  2. Research

    Fractional-order scheme for bovine babesiosis disease and tick populations

    This article shows epidemic model, earlier suggested in ordinary differential equation philosophy, can be extended to fractional order on a reliable agenda of biological comportment. A set of domains for the m...

    Zain Ul Abadin Zafar, Kashif Rehan and M Mushtaq

    Advances in Difference Equations 2017 2017:86

    Published on: 22 March 2017

  3. Research

    Homotopy perturbation transform method for nonlinear differential equations involving to fractional operator with exponential kernel

    This work presents the homotopy perturbation transform method for nonlinear fractional partial differential equations of the Caputo-Fabrizio fractional operator. Perturbative expansion polynomials are consider...

    JF Gómez-Aguilar, H Yépez-Martínez, J Torres-Jiménez, T Córdova-Fraga, RF Escobar-Jiménez and VH Olivares-Peregrino

    Advances in Difference Equations 2017 2017:68

    Published on: 28 February 2017

  4. Research

    Stability and traveling waves in a Beddington-DeAngelis type stage-structured predator-prey reaction-diffusion systems with nonlocal delays and harvesting

    The goal of this paper is to study the stability and traveling waves of stage-structured predator-prey reaction-diffusion systems of Beddington-DeAngelis functional response with both nonlocal delays and harve...

    Jing Xia, Zhi Xian Yu and Su Wen Zheng

    Advances in Difference Equations 2017 2017:65

    Published on: 27 February 2017

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