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  1. Since in some application mathematical problems finding the analytical solution is too complicated, in recent years a lot of attention has been devoted by researchers to find the numerical solution of this equ...

    Authors: Ahmad Jafarian, Safa A Measoomy Nia, Alireza K Golmankhaneh and Dumitru Baleanu

    Citation: Advances in Difference Equations 2013 2013:123

    Content type: Research Article

    Published on:

  2. In this paper, the generalized q-Bessel function, which is a generalization of the known q-Bessel functions of kinds 1, 2, 3, and the new q-analogy of the modified Bessel function presented in (Mansour and Al-Sho...

    Authors: Mansour Mahmoud

    Citation: Advances in Difference Equations 2013 2013:121

    Content type: Research

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  3. In the present study, the first and second order of accuracy stable difference schemes for the numerical solution of the initial boundary value problem for the fractional parabolic equation with the Neumann bo...

    Authors: Allaberen Ashyralyev and Zafer Cakir

    Citation: Advances in Difference Equations 2013 2013:120

    Content type: Research

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  4. In this paper, we investigate some properties of several Sheffer sequences of several polynomials arising from umbral calculus. From our investigation, we can derive many interesting identities of several poly...

    Authors: Dae San Kim, Taekyun Kim, Seog-Hoon Rim and Dmitry V Dolgy

    Citation: Advances in Difference Equations 2013 2013:118

    Content type: Review

    Published on:

  5. The main purpose of this paper is to introduce and investigate a new class of generalized q-Bernoulli and q-Euler polynomials. The q-analogues of well-known formulas are derived. A generalization of the Srivastav...

    Authors: Nazim I Mahmudov and M Eini Keleshteri

    Citation: Advances in Difference Equations 2013 2013:115

    Content type: Research

    Published on:

  6. In the paper, we consider distribution of eigenvalues of a third-order differential operator with nonlocal boundary conditions on a segment. The characteristic operator of the considered spectral problem is an...

    Authors: Nurlan S Imanbaev, Baltabek E Kanguzhin and Burkhan T Kalimbetov

    Citation: Advances in Difference Equations 2013 2013:110

    Content type: Research

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  7. In the work, the Cauchy problem is considered for a singularly perturbed system with zero points of the spectrum. It is proved normal solvability of general iterative problems. Unique solvability and convergen...

    Authors: Burkhan Kalimbetov, Lesbek Tashimov, Nurlan Imanbaev and Dinmukhambet Sapakov

    Citation: Advances in Difference Equations 2013 2013:109

    Content type: Research

    Published on:

  8. The main purpose of this paper is to introduce and investigate a class of generalized Bernoulli polynomials and Euler polynomials based on the q-integers. The q-analogues of well-known formulas are derived. The q

    Authors: Nazim I Mahmudov

    Citation: Advances in Difference Equations 2013 2013:108

    Content type: Research

    Published on:

  9. We establish the existence and uniqueness of solutions for a class of nonlinear Volterra integral and integro-differential equations using fixed-point theorems for a new variant of cyclic ...

    Authors: Hemant Kumar Nashine, RP Pathak, Piyusha S Somvanshi, Slavisa Pantelic and Poom Kumam

    Citation: Advances in Difference Equations 2013 2013:106

    Content type: Research

    Published on:

  10. In (Kim and Kim in J. Inequal. Appl. 2013:111, 2013; Kim and Kim in Integral Transforms Spec. Funct., 2013, doi:10.1080/10652469.2012.754756), we have investigated some properties of higher-order Bernoulli and...

    Authors: Dae San Kim, Taekyun Kim, Dmitry V Dolgy and Seog-Hoon Rim

    Citation: Advances in Difference Equations 2013 2013:103

    Content type: Review

    Published on:

  11. The universal real constant pi, the ratio of the circumference of any circle and its diameter, has no exact numerical representation in a finite number of digits in any number/radix system. It has conjured up ...

    Authors: Ravi P Agarwal, Hans Agarwal and Syamal K Sen

    Citation: Advances in Difference Equations 2013 2013:100

    Content type: Research

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  12. In this paper, we rigorously prove the existence of chaos in a class of delay difference equations, which can be viewed as a discrete analogue of a one-dimensional delay differential equation by using the Eule...

    Authors: Zongcheng Li, Qingli Zhao and Di Liang

    Citation: Advances in Difference Equations 2013 2013:99

    Content type: Research

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  13. In this paper, we investigate the value distribution of difference polynomial and obtain the following result, which improves a recent result of K. Liu and L.Z. Yang: Let f be a transcendental meromorphic functio...

    Authors: Nan Li and Lianzhong Yang

    Citation: Advances in Difference Equations 2013 2013:98

    Content type: Research

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  14. This paper points out the fractional complex transform method for wave equations on Cantor sets within the local differential fractional operators. The proposed method is efficient to handle differential equat...

    Authors: Wei-Hua Su, Xiao-Jun Yang, H Jafari and Dumitru Baleanu

    Citation: Advances in Difference Equations 2013 2013:97

    Content type: Research

    Published on:

  15. In this paper, we study the equilibrium points, local asymptotic stability of equilibrium points, and global behavior of equilibrium points of a discrete Lotka-Volterra model given by

    Authors: Qamar Din

    Citation: Advances in Difference Equations 2013 2013:95

    Content type: Research

    Published on:

  16. In this paper, we make use of the relatively new analytical technique, the homotopy decomposition method (HDM), to solve a system of fractional nonlinear differential equations that arise in the model for HIV ...

    Authors: Abdon Atangana and Ernestine Alabaraoye

    Citation: Advances in Difference Equations 2013 2013:94

    Content type: Research

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  17. The purpose of the present paper is to investigate some subordination- and superordination-preserving properties of certain nonlinear integral operators defined on the space of meromorphically p-valent functions ...

    Authors: Nak Eun Cho and Rekha Srivastava

    Citation: Advances in Difference Equations 2013 2013:93

    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