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  1. A fractional-order eco-epidemiological model with disease in the prey population is formulated and analyzed. Mathematical analysis and numerical simulations are performed to clarify the characteristics of the ...

    Authors: Mahmoud Moustafa, Mohd Hafiz Mohd, Ahmad Izani Ismail and Farah Aini Abdullah

    Citation: Advances in Difference Equations 2020 2020:48

    Content type: Research

    Published on:

  2. In this paper, we are concerned with a class of quaternion-valued cellular neural networks with time-varying transmission delays and leakage delays. By applying a continuation theorem of coincidence degree the...

    Authors: Yongkun Li and Jianglian Xiang

    Citation: Advances in Difference Equations 2020 2020:47

    Content type: Research

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  3. In this paper, we broaden the utilization of a beautiful computational scheme, residual power series method (RPSM), to attain the fractional power series solutions of nonhomogeneous and homogeneous nonlinear t...

    Authors: Ved Prakash Dubey, Rajnesh Kumar, Devendra Kumar, Ilyas Khan and Jagdev Singh

    Citation: Advances in Difference Equations 2020 2020:46

    Content type: Research

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  4. We investigate the dynamical behavior of a modified Leslie–Gower prey–predator model with harvesting in prey population. In order to explore rich dynamics of the model, Euler approximation is implemented to ob...

    Authors: Muhammad Bilal Ajaz, Umer Saeed, Qamar Din, Irfan Ali and Muhammad Israr Siddiqui

    Citation: Advances in Difference Equations 2020 2020:45

    Content type: Research

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  5. This paper investigates a periodic Nicholson’s blowflies equation with multiple time-varying delays. By using differential inequality techniques and the fluctuation lemma, we establish a criterion to ensure th...

    Authors: Qian Cao, Guoqiu Wang and Chaofan Qian

    Citation: Advances in Difference Equations 2020 2020:43

    Content type: Research

    Published on:

  6. It is important that we increase our ability for studying of complicate fractional integro-differential equation. In this paper, we investigates the existence of solutions for a pointwise defined multi-singula...

    Authors: Mandana Talaee, Mehdi Shabibi, Alireza Gilani and Shahram Rezapour

    Citation: Advances in Difference Equations 2020 2020:41

    Content type: Research

    Published on:

  7. In the article, we present the explicit bounds for three generalized delay dynamic Gronwall–Bellman type integral inequalities on time scales, which are the unification of continuous and discrete results. As a...

    Authors: Sobia Rafeeq, Humaira Kalsoom, Sabir Hussain, Saima Rashid and Yu-Ming Chu

    Citation: Advances in Difference Equations 2020 2020:40

    Content type: Research

    Published on:

  8. Fractional kinetic equations (FKEs) including a wide variety of special functions have been widely and successfully applied in describing and solving many important problems of physics and astrophysics. In thi...

    Authors: Kottakkaran Sooppy Nisar, Amjad Shaikh, Gauhar Rahman and Dinesh Kumar

    Citation: Advances in Difference Equations 2020 2020:39

    Content type: Research

    Published on:

  9. This work deals with the bounds of a unified integral operator with which several fractional and conformable integral operators are directly associated. By using quasiconvex and monotone functions we establish...

    Authors: Dongming Zhao, Ghulam Farid, Muhammad Zeb, Sohail Ahmad and Kahkashan Mahreen

    Citation: Advances in Difference Equations 2020 2020:38

    Content type: Research

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  10. We consider distributed-order partial differential equations with time fractional derivative proposed by Caputo and Fabrizio in a one-dimensional space. Two finite difference schemes are established via Grünwa...

    Authors: Haili Qiao, Zhengguang Liu and Aijie Cheng

    Citation: Advances in Difference Equations 2020 2020:36

    Content type: Research

    Published on:

  11. The spread of an epidemic diseases is stochastic in nature. It is more realistic to include this stochasticity when modelling the dynamics of a communicable disease. In this paper, a stochastic model for foot ...

    Authors: Kamaleldin Abodayeh, Muhammad Shoaib Arif, Ali Raza, Muhammad Rafiq, Mairaj Bibi and Amna Nazeer

    Citation: Advances in Difference Equations 2020 2020:34

    Content type: Research

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  12. In this paper, we study some new Volterra–Fredholm type dynamical integral inequalities in two independent variables on time scale pairs, which provide explicit bounds on unknown functions. These inequalities ...

    Authors: Haidong Liu and Chuancun Yin

    Citation: Advances in Difference Equations 2020 2020:31

    Content type: Research

    Published on:

  13. This article mainly explores and applies a modified form of the analytical method, namely the homotopy analysis transform method (HATM) for solving time-fractional Cauchy reaction–diffusion equations (TFCRDEs)...

    Authors: Sunil Kumar, Amit Kumar, Syed Abbas, Maysaa Al Qurashi and Dumitru Baleanu

    Citation: Advances in Difference Equations 2020 2020:28

    Content type: Research

    Published on:

  14. The key objective of this paper is to study and discuss the application of fractional calculus on an arbitrary-order inventory control problem. Using the concepts of fractional calculus followed by fractional ...

    Authors: Mostafijur Rahaman, Sankar Prasad Mondal, Ali Akbar Shaikh, Ali Ahmadian, Norazak Senu and Soheil Salahshour

    Citation: Advances in Difference Equations 2020 2020:16

    Content type: Research

    Published on:

  15. This paper presents two high-order exponential time differencing precise integration methods (PIMs) in combination with a spatially global sixth-order compact finite difference scheme (CFDS) for solving parabo...

    Authors: Changkai Chen, Xiaohua Zhang, Zhang Liu and Yage Zhang

    Citation: Advances in Difference Equations 2020 2020:15

    Content type: Research

    Published on:

  16. In the present article, by using the fixed point technique and the Arzelà–Ascoli theorem on cones, we wish to investigate the existence of solutions for a non-linear problems regular and singular fractional q-dif...

    Authors: Sihua Liang and Mohammad Esmael Samei

    Citation: Advances in Difference Equations 2020 2020:14

    Content type: Research

    Published on:

  17. We investigate the solutions of functional-integral equation of fractional order in the setting of a measure of noncompactness on real-valued bounded and continuous Banach space. We introduce a new μ-set contract...

    Authors: Reza Arab, Hemant Kumar Nashine, N. H. Can and Tran Thanh Binh

    Citation: Advances in Difference Equations 2020 2020:12

    Content type: Research

    Published on:

  18. In this paper, a delayed virus model with two different transmission methods and treatments is investigated. This model is a time-delayed version of the model in (Zhang et al. in Comput. Math. Methods Med. 201...

    Authors: Tongqian Zhang, Junling Wang, Yuqing Li, Zhichao Jiang and Xiaofeng Han

    Citation: Advances in Difference Equations 2020 2020:1

    Content type: Research

    Published on:

  19. In this paper, a hybrid predator–prey model with two general functional responses under seasonal succession is proposed. The model is composed of two subsystems: in the first one, the prey follows the Gompertz...

    Authors: Lei Hang, Long Zhang, Xiaowen Wang, Hongli Li and Zhidong Teng

    Citation: Advances in Difference Equations 2020 2020:10

    Content type: Research

    Published on:

  20. In this paper, we define the weighted Atangana–Baleanu fractional operators of Caputo sense. We obtain the solution of a related linear fractional differential equation in a closed form, and use the result to ...

    Authors: Mohammed Al-Refai

    Citation: Advances in Difference Equations 2020 2020:3

    Content type: Research

    Published on:

  21. In this work, we investigate the stability of an SIR epidemic model with a generalized nonlinear incidence rate and distributed delay. The model also includes vaccination term and general treatment function, w...

    Authors: A. Elazzouzi, A. Lamrani Alaoui, M. Tilioua and A. Tridane

    Citation: Advances in Difference Equations 2019 2019:532

    Content type: Research

    Published on:

  22. Ecological stoichiometry is the study of the balance of multiple elements in ecological interactions and processes (Sterner and Elser in Ecological Stoichiometry: The Biology of Elements from Molecules to the ...

    Authors: Ming Chen, Lale Asik and Angela Peace

    Citation: Advances in Difference Equations 2019 2019:531

    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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