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  1. Content type: Research

    By using a solvability method for differential equations, we present an elegant and straightforward/direct proof of the following slight generalization of a classical result: Let ...

    Authors: Stevo Stević

    Citation: Advances in Difference Equations 2019 2019:298

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  2. Content type: Research

    In this study the method which was obtained from a combination of the conformable fractional double Laplace transform method and the Adomian decomposition method has been successfully applied to solve linear a...

    Authors: Hassan Eltayeb, Imed Bachar and Musa Gad-Allah

    Citation: Advances in Difference Equations 2019 2019:293

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  3. Content type: Research

    We investigate the existence of solutions for new boundary value problems of Caputo-type sequential fractional differential equations and inclusions supplemented with nonlocal integro-multipoint boundary condi...

    Authors: Bashir Ahmad, Ahmed Alsaedi, Sotiris K. Ntouyas and Wafa Shammakh

    Citation: Advances in Difference Equations 2019 2019:290

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  4. Content type: Research

    In this article, we present a method to approximate the solution of a fractional Ricatti equation based on the ABFD in the Caputo sense. The proposed method depends on the fractional operational matrix of the ...

    Authors: M. Motawi Khashan and Muhammed I. Syam

    Citation: Advances in Difference Equations 2019 2019:288

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  5. Content type: Research

    Recent research has gained more attention on conformable integrals and derivatives to derive the various type of inequalities. One of the recent advancements in the field of fractional calculus is the generali...

    Authors: Gauhar Rahman, Aftab Khan, Thabet Abdeljawad and Kottakkaran Sooppy Nisar

    Citation: Advances in Difference Equations 2019 2019:287

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  6. Content type: Research

    We deal with a class of coupled systems of neutral fractional integro-differential equations with infinite delay in a Banach space in this paper. Based on the Banach contraction principle and Krasnoselskii’s f...

    Authors: Juqing Liu and Kaihong Zhao

    Citation: Advances in Difference Equations 2019 2019:284

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  7. Content type: Research

    In this paper, we propose and analyze a mathematical model of mealybugs and green lacewings with time delay to investigate the population dynamics of mealybugs (a major insect pest of cassava) and green lacewi...

    Authors: Kittipol Jankaew, Chontita Rattanakul and Warunee Sarika

    Citation: Advances in Difference Equations 2019 2019:283

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  8. Content type: Research

    In this paper, the distributions of generalized zeros of oscillatory solutions for second-order nonlinear neutral delay difference equations are studied. By means of inequality techniques, specific function se...

    Authors: Limei Feng and Zhenlai Han

    Citation: Advances in Difference Equations 2019 2019:282

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  9. Content type: Research

    In this paper, a non-selective harvesting Lotka–Volterra amensalism discrete model incorporating partial closure for the populations is proposed and studied. By applying the relevant conclusions of difference ...

    Authors: Qianqian Su and Fengde Chen

    Citation: Advances in Difference Equations 2019 2019:281

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  10. Content type: Research

    In this paper, we study existence and nonexistence of positive solutions for a class of Riemann–Stieltjes integral boundary value problems of fractional differential equations with parameters. By using the fix...

    Authors: Mei Jia, Lin Li, Xiping Liu, Junqiu Song and Zhanbing Bai

    Citation: Advances in Difference Equations 2019 2019:280

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  11. Content type: Research

    Considering the influence of the preferential degree, the hesitation psychology of customers and the heterogeneity of underlying networks in preferential information spreading, we propose a novel model called AHF...

    Authors: Xiongding Liu, Tao Li, Xinming Cheng, Wenjin Liu and Hao Xu

    Citation: Advances in Difference Equations 2019 2019:279

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  12. Content type: Research

    The present paper deals with a new fractional SIRS-SI model describing the transmission of malaria disease. The SIRS-SI malaria model is modified by using the Caputo–Fabrizio fractional operator for the inclus...

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

    Citation: Advances in Difference Equations 2019 2019:278

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  13. Content type: Research

    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

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  14. Content type: Research

    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

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  15. Content type: Research

    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

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  16. Content type: Research

    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

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  17. Content type: Research

    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

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  18. Content type: Research

    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

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  19. Content type: Research

    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

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  20. Content type: Research

    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

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  21. Content type: Research

    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

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  22. Content type: Research

    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

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  23. Content type: Research

    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

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  24. Content type: Research

    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

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  25. Content type: Research

    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

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  26. Content type: Research

    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

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  27. Content type: Research

    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

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  28. Content type: Research

    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

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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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