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  1. This paper aims to examine and establish the models for European option pricing which include parameters of stochastic dividend yield and stochastic earning yield. We generalize the Ornstein–Uhlenbeck process ...

    Authors: N. Phewchean and Y. Wu

    Citation: Advances in Difference Equations 2019 2019:277

    Content type: Research

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  2. Drug resistance has become a problem of grave concern for members of the medical profession for many decades. More and more bacterial infections cannot be contained. Therefore it is of imperative importance fo...

    Authors: Suranath Chomcheon, Yongwimon Lenbury and Warunee Sarika

    Citation: Advances in Difference Equations 2019 2019:274

    Content type: Research

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  3. In this paper, we study a predator–prey model with delay and harvesting on predator. We give the conditions for stability and Turing instability of coexisting equilibrium by analyzing the eigenvalue spectrum. ...

    Authors: Wenjing Gao, Yihui Tong, Lihua Zhai, Ruizhi Yang and Leiyu Tang

    Citation: Advances in Difference Equations 2019 2019:270

    Content type: Research

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  4. This paper is devoted to studying the existence and uniqueness of solutions of fuzzy nabla dynamic equations on time scales under Hukuhara differentiability. We apply the Banach contraction mapping principle t...

    Authors: R. Leelavathi, G. Suresh Kumar, M. S. N. Murty and R. V. N. Srinivasa Rao

    Citation: Advances in Difference Equations 2019 2019:269

    Content type: Research

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  5. Oil spill is the most important cause of marine pollution. It affects marine ecosystem, an economic system, and human society. The main chemical and physical properties are the so-called oil weathering process...

    Authors: Satit Sriwichien, Kittisak Chayantrakom and Wattana Kanbua

    Citation: Advances in Difference Equations 2019 2019:267

    Content type: Research

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  6. This paper addresses the issue of three dynamical behaviors including global Mittag-Leffler stability, robust stability and projection synchronization for fractional-order quaternion-valued neural networks (FQ...

    Authors: Dongyuan Lin, Xiaofeng Chen, Bing Li and Xujun Yang

    Citation: Advances in Difference Equations 2019 2019:266

    Content type: Research

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  7. In this work, a mathematical model is proposed to investigate the population dynamics of brown planthopper, which is a major insect pest of rice, and its natural enemies namely Cyrtorhinus Lividipennis and Lycosa...

    Authors: Songabsorn Manorod and Chontita Rattanakul

    Citation: Advances in Difference Equations 2019 2019:265

    Content type: Research

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  8. This article studies the blow-up phenomenon for a degenerate and singular parabolic problem. Conditions for the local and global existence of solutions for the problem are given. In the case that blow-up occur...

    Authors: Nitithorn Sukwong, Panumart Sawangtong, Sanoe Koonprasert and Wannika Sawangtong

    Citation: Advances in Difference Equations 2019 2019:264

    Content type: Research

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  9. In this work, we present a new two-waves’ version of the fifth-order Korteweg–de Vries model. This model describes the propagation of moving two-waves under the influence of dispersion, nonlinearity, and phase...

    Authors: Mohammed Ali, Marwan Alquran, Imad Jaradat and Dumitru Baleanu

    Citation: Advances in Difference Equations 2019 2019:263

    Content type: Research

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  10. The street under a skytrain station can be seen in many urban cities. Due to the cavity geometry of the street canyon, natural ventilation is decreased. The reduction of the ventilation causes the heat accumul...

    Authors: Surapa Pothiphan, Nathnarong Khajohnsaksumeth and Benchawan Wiwatanapataphee

    Citation: Advances in Difference Equations 2019 2019:258

    Content type: Research

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  11. In Thailand, the harvesting season for sugarcane usually begins in November and ends the following May. At the beginning of each harvesting season, the Royal Thai government sets the price of two types of suga...

    Authors: Wisanlaya Pornprakun, Surattana Sungnul, Chanakarn Kiataramkul and Elvin J. Moore

    Citation: Advances in Difference Equations 2019 2019:257

    Content type: Research

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  12. This paper proposes a series-representations for the solution of initial value problems of linear inhomogeneous fractional differential equation with continuous variable coefficients. It is proved that the sol...

    Authors: Sunae Pak, Huichol Choi, Kinam Sin and Kwang Ri

    Citation: Advances in Difference Equations 2019 2019:256

    Content type: Research

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  13. In this paper, we consider the problem of finding the initial distribution for the linear inhomogeneous biharmonic equation. The problem is severely ill-posed in the sense of Hadamard. In order to obtain a sta...

    Authors: Hua Quoc Nam Danh, Donal O’Regan, Van Au Vo, Binh Thanh Tran and Can Huu Nguyen

    Citation: Advances in Difference Equations 2019 2019:255

    Content type: Research

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  14. In this paper, an efficient technique is employed to study the modified Boussinesq and approximate long wave equations of the Caputo fractional time derivative, namely the q-homotopy analysis transform method. Th...

    Authors: P. Veeresha, D. G. Prakasha, M. A. Qurashi and D. Baleanu

    Citation: Advances in Difference Equations 2019 2019:253

    Content type: Research

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  15. This article deals with the fractional multi-dimensional Burgers equation in the sense of the Caputo fractional derivative. An approximate analytical solution of the problem is established by the homotopy pert...

    Authors: Pattira Sripacharasakullert, Wannika Sawangtong and Panumart Sawangtong

    Citation: Advances in Difference Equations 2019 2019:252

    Content type: Research

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  16. In this work, we formulate the mathematical model that incorporates two equations to represent the ultimate goal and controlling strategy to the traditional prey-predator model so that we can investigate the i...

    Authors: Adirek Vajrapatkul, Sanoe Koonprasert and Sekson Sirisubtawee

    Citation: Advances in Difference Equations 2019 2019:248

    Content type: Research

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  17. In this paper, we present sufficient criteria ensuring the existence and uniqueness of solutions for nonlinear impulsive multi-order Caputo-type generalized fractional differential equations supplemented with ...

    Authors: Bashir Ahmad, Madeaha Alghanmi, Juan J. Nieto and Ahmed Alsaedi

    Citation: Advances in Difference Equations 2019 2019:247

    Content type: Research

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  18. We consider some new Steffensen-type dynamic inequalities on an arbitrary time scale by utilizing the diamond-α dynamic integrals, which are characterized as a combination of the delta and nabla integrals. These ...

    Authors: A. A. El-Deeb, H. A. El-Sennary and Zareen A. Khan

    Citation: Advances in Difference Equations 2019 2019:246

    Content type: Research

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  19. In this work, a delay-interval-dependent robust stability problem for linear parameter dependent (LPD) discrete-time system with discrete and distributed time-varying delays and nonlinear uncertainties is addr...

    Authors: Kanit Mukdasai and Narongrit Kaewbanjak

    Citation: Advances in Difference Equations 2019 2019:242

    Content type: Research

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  20. This paper investigates a gene expression model, which is mediated by sRNAs (small RNAs) and includes discrete and distributed delays. We take both the strong and weak kernel forms of distributed delay into co...

    Authors: Fan Qing, Min Xiao, Chengdai Huang, Guoping Jiang, Jianlong Qiu, Jinxing Lin, Zhengxin Wang and Cong Zheng

    Citation: Advances in Difference Equations 2019 2019:240

    Content type: Research

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  21. A static mixer is a fidelity engineered device for the continuous mixing of fluid/solid materials. To meet the requirements for mixing purpose, a proper design of the static mixer is important. In this study, ...

    Authors: Noraphon Bunkluarb, Wannika Sawangtong, Nathnarong Khajohnsaksumeth and Benchawan Wiwatanapataphee

    Citation: Advances in Difference Equations 2019 2019:238

    Content type: Research

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  22. In this paper, a cellular automata model is developed in order to investigate the control of cassava mealybugs in a cassava field when the wasp Anagyrus lopezi is used as the biological control agent. The model i...

    Authors: Supassorn Aekthong and Chontita Rattanakul

    Citation: Advances in Difference Equations 2019 2019:237

    Content type: Research

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  23. This paper is concerned with a kind of non-zero sum differential game driven by mean-field backward stochastic differential equation (MF-BSDE) with asymmetric information, whose novel feature is that both the ...

    Authors: Pengyan Huang, Guangchen Wang and Huanjun Zhang

    Citation: Advances in Difference Equations 2019 2019:236

    Content type: Research

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  24. In this paper, we explore a stochastic non-autonomous one-predator–two-prey system with Beddington–DeAngelis functional response and impulsive perturbations. First, by using Itô’s formula, exponential martinga...

    Authors: Haokun Qi, Xinzhu Meng and Tao Feng

    Citation: Advances in Difference Equations 2019 2019:235

    Content type: Research

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  25. The Mathieu series appeared in the study of elasticity of solid bodies in the work of Émile Leonard Mathieu. Since then numerous authors have studied various problems arising from the Mathieu series in several...

    Authors: Owais Khan, Nabiullah Khan, Dumitru Baleanu and Kottakkaran Sooppy Nisar

    Citation: Advances in Difference Equations 2019 2019:234

    Content type: Research

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  26. This work is an attempt at studying leader-following model on the arbitrary time scale. The step size is treated as a function of time. Our purpose is establishing conditions ensuring a leader-following consen...

    Authors: Ewa Schmeidel, Urszula Ostaszewska and Małgorzata Zdanowicz

    Citation: Advances in Difference Equations 2019 2019:231

    Content type: Research

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  27. In this paper, using the idea of separated intervals in non-instantaneous impulsive equations, we initiate the study of initial value problems for mixed-order ordinary and fractional differential equations wit...

    Authors: Suphawat Asawasamrit, Yasintorn Thadang, Sotiris K. Ntouyas and Jessada Tariboon

    Citation: Advances in Difference Equations 2019 2019:229

    Content type: Research

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  28. In this paper, we analyze the load deflection behavior of the superstructure elements of beam bridges under two different beam–beam connection designs. We present a mathematical model for beam–bridge structura...

    Authors: Doungporn Wiwatanapataphee, Nathnarong Khajohnsaksumeth and Yong Hong Wu

    Citation: Advances in Difference Equations 2019 2019:225

    Content type: Research

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Editors-in-Chief

​​​​​​​mbnk_edit Martin Bohner, Missouri University of Science and Technology, United States of America | 

Martin's SpringerNature Publications

Elena_Braverman_image_edit Elena Braverman, University of Calgary Canada | 

Elena's SpringerNature Publications

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