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  1. This article is based on the study on the λ-statistical convergence with respect to the logarithmic density and de la Vallee Poussin mean and generalizes some results of logarithmic λ-statistical convergence and ...

    Authors: Adem Kılıçman, Stuti Borgohain and Mehmet Küçükaslan

    Citation: Advances in Difference Equations 2019 2019:424

    Content type: Research

    Published on:

  2. In this paper, we solve the variable-coefficient fractional diffusion-wave equation in a bounded domain by the Legendre spectral method. The time fractional derivative is in the Caputo sense of order

    Authors: Wenping Chen, Shujuan Lü, Hu Chen and Lihua Jiang

    Citation: Advances in Difference Equations 2019 2019:418

    Content type: Research

    Published on:

  3. The fractional reaction–diffusion equation has profound physical and engineering background, and its rapid solution research is of important scientific significance and engineering application value. In this p...

    Authors: Xiaozhong Yang and Xu Dang

    Citation: Advances in Difference Equations 2019 2019:417

    Content type: Research

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  4. The main aim of this paper is to present a comparative study of modified analytical technique based on auxiliary parameters and residual power series method (RPSM) for Newell–Whitehead–Segel (NWS) equations of...

    Authors: Sunil Kumar, Amit Kumar, Shaher Momani, Mujahed Aldhaifallah and Kottakkaran Sooppy Nisar

    Citation: Advances in Difference Equations 2019 2019:413

    Content type: Research

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  5. In this paper, we propose three fractional chaotic maps based on the well known 3D Stefanski, Rössler, and Wang maps. The dynamics of the proposed fractional maps are investigated experimentally by means of ph...

    Authors: Amina-Aicha Khennaoui, Adel Ouannas, Samir Bendoukha, Giuseppe Grassi, Xiong Wang, Viet-Thanh Pham and Fawaz E. Alsaadi

    Citation: Advances in Difference Equations 2019 2019:412

    Content type: Research

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  6. Consider the simultaneous identification of the initial field and spatial heat source for heat conduction process from extra measurements with the two additional measurement data at different times. The unique...

    Authors: Bingxian Wang, Bin Yang and Mei Xu

    Citation: Advances in Difference Equations 2019 2019:411

    Content type: Research

    Published on:

  7. In this research work, a mathematical model related to HIV-I cure infection therapy consisting of three populations is investigated from the fractional calculus viewpoint. Fractional version of the model under...

    Authors: Aliyu Isa Aliyu, Ali Saleh Alshomrani, Yongjin Li, Mustafa Inc and Dumitru Baleanu

    Citation: Advances in Difference Equations 2019 2019:408

    Content type: Research

    Published on:

  8. The key objective of this paper is to study the imprecise biological complexities in the interaction of two species pertaining to harvesting threshold. It is explained by taking the prey–predator model with im...

    Authors: Najeeb Alam Khan, Oyoon Abdul Razzaq, Sankar Parsad Mondal and Qammar Rubbab

    Citation: Advances in Difference Equations 2019 2019:405

    Content type: Research

    Published on:

  9. In this paper, we develop a fundamental dynamic inequality, a generalization of comparison theorem and reproduce the proofs of some nonlinear integral Pachpatte’s inequalities by using their continuous analogu...

    Authors: Sarah Sarfaraz, Naveed Ahmad and Ghaus ur Rahman

    Citation: Advances in Difference Equations 2019 2019:402

    Content type: Research

    Published on:

  10. In this work we present a reduction result for discrete-time systems with two time scales. In order to be valid, previous results in the field require some strong hypotheses that are difficult to check in prac...

    Authors: Luis Sanz, Rafael Bravo de la Parra, Marcos Marvá and Eva Sánchez

    Citation: Advances in Difference Equations 2019 2019:401

    Content type: Research

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  11. Diffusion-driven instability is a basic nonlinear mechanism for pattern formation. Therefore, the way of population diffusion may play a determinative role in the spatiotemporal dynamics of biological systems....

    Authors: Tousheng Huang, Huayong Zhang, Zhengran Hu, Ge Pan, Shengnan Ma, Xiumin Zhang and Zichun Gao

    Citation: Advances in Difference Equations 2019 2019:399

    Content type: Research

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  12. A non-autonomous almost periodic prey–predator system with impulsive effects and multiple delays is proposed in this paper, Holling’s type-IV systems and ratio-dependent functional responses are also involved ...

    Authors: Baodan Tian, Pengkai Zhang, Jiamei Li, Yong Zhang and Liu Yang

    Citation: Advances in Difference Equations 2019 2019:395

    Content type: Research

    Published on:

  13. In this paper, we will state and prove some weighted dynamic inequalities of Opial-type involving integrals of powers of a function and of its derivative on time scales which not only extend some results in th...

    Authors: A. A. El-Deeb, Fatma M. Kh, Gamal A. F. Ismail and Zareen A. Khan

    Citation: Advances in Difference Equations 2019 2019:393

    Content type: Research

    Published on:

  14. This paper is committed to investigating outer-synchronization of fractional-order neural networks with deviating argument via centralized and decentralized data-sampling approaches. Considering the low cost a...

    Authors: Weike Cheng, Ailong Wu, Jin-E Zhang and Biwen Li

    Citation: Advances in Difference Equations 2019 2019:390

    Content type: Research

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  15. Using the monotone iterative technique, we investigate the existence of iterative positive solutions to a coupled system of fractional differential equations supplemented with multistrip and multipoint mixed b...

    Authors: Xiaodi Zhao, Yuehan Liu and Huihui Pang

    Citation: Advances in Difference Equations 2019 2019:389

    Content type: Research

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  16. In this paper, our purpose is to present a wavelet Galerkin method for solving the time-fractional KdV-Burgers-Kuramoto (KBK) equation, which describes nonlinear physical phenomena and involves instability, di...

    Authors: Aydin Secer and Neslihan Ozdemir

    Citation: Advances in Difference Equations 2019 2019:386

    Content type: Research

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  17. We establish the existence of positive solutions to a class of a singular nonlinear Hadamard-type fractional differential equations with infinite-point boundary conditions (BCs) or integral BCs. Our analysis i...

    Authors: A. M. A. El-Sayed and F. M. Gaafar

    Citation: Advances in Difference Equations 2019 2019:382

    Content type: Research

    Published on:

  18. The interaction between prey and predator is one of the most fundamental processes in ecology. Discrete-time models are frequently used for describing the dynamics of predator and prey interaction with non-ove...

    Authors: Muhammad Sajjad Shabbir, Qamar Din, Muhammad Safeer, Muhammad Asif Khan and Khalil Ahmad

    Citation: Advances in Difference Equations 2019 2019:381

    Content type: Research

    Published on:

  19. This research demonstrates the log-convexity and log-concavity of the modified Bessel function of the first kind and the related functions. The method of coefficient is used to verify such properties. One of o...

    Authors: Thanit Nanthanasub, Boriboon Novaprateep and Narongpol Wichailukkana

    Citation: Advances in Difference Equations 2019 2019:379

    Content type: Research

    Published on:

  20. In this study, we have proposed an efficient numerical algorithm based on third degree modified extended B-spline (EBS) functions for solving time-fractional diffusion wave equation with reaction and damping t...

    Authors: Nauman Khalid, Muhammad Abbas, Muhammad Kashif Iqbal and Dumitru Baleanu

    Citation: Advances in Difference Equations 2019 2019:378

    Content type: Research

    Published on:

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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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