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  1. The present study introduces a new version of homotopy perturbation method for the solution of system of fractional-order differential equations. In this approach, the solution is considered as a Taylor series...

    Authors: Najeeb Alam Khan, Muhammad Jamil, Asmat Ara and Nasir-Uddin Khan

    Citation: Advances in Difference Equations 2011 2011:303472

    Content type: Research Article

    Published on:

  2. The expression and properties of Green's function for a class of nonlinear fractional differential equations with integral boundary conditions are studied and employed to obtain some results on the existence o...

    Authors: Meiqiang Feng, Xiaofang Liu and Hanying Feng

    Citation: Advances in Difference Equations 2011 2011:546038

    Content type: Research Article

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  3. We investigate the global existence and uniqueness of solutions for some classes of partial hyperbolic differential equations involving the Caputo fractional derivative with finite and infinite delays. The exi...

    Authors: Saïd Abbas, Mouffak Benchohra and JuanJ Nieto

    Citation: Advances in Difference Equations 2011 2011:379876

    Content type: Research Article

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  4. By using the fixed-point index theory and Leggett-Williams fixed-point theorem, we study the existence of multiple solutions to the three-point boundary value problem http://static-content.springer.com/image/art%3A10.1155%2F2011%2F894135/MediaObjects/13662_2010_Article_77_IEq1_HTML.gif ...

    Authors: Jin Liang and Zhi-Wei Lv

    Citation: Advances in Difference Equations 2011 2011:894135

    Content type: Research Article

    Published on:

  5. This paper discusses the existence of solutions to antiperiodic boundary value problem for nonlinear impulsive fractional differential equations. By using Banach fixed point theorem, Schaefer fixed point theor...

    Authors: Anping Chen and Yi Chen

    Citation: Advances in Difference Equations 2011 2011:915689

    Content type: Research Article

    Published on:

  6. This paper is concerned with the initial value problem to a nonlinear fractional difference equation with the Caputo like difference operator. By means of some fixed point theorems, global and local existence ...

    Authors: Fulai Chen, Xiannan Luo and Yong Zhou

    Citation: Advances in Difference Equations 2010 2011:713201

    Content type: Research Article

    Published on:

  7. The mean square BIBO stability is investigated for stochastic control systems with mixed delays and nonlinear perturbations. The system with mixed delays is transformed, then a class of suitable Lyapunov funct...

    Authors: Xia Zhou and Shouming Zhong

    Citation: Advances in Difference Equations 2010 2010:494607

    Content type: Research Article

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  8. The paper is devoted to the study of an approximation process of time optimal control for fractional evolution systems in Banach spaces. We firstly convert time optimal control problem into Meyer problem. By v...

    Authors: JinRong Wang and Yong Zhou

    Citation: Advances in Difference Equations 2010 2011:385324

    Content type: Research Article

    Published on:

  9. This paper discusses a generalized time-varying SEIR propagation disease model subject to delays which potentially involves mixed regular and impulsive vaccination rules. The model takes also into account the ...

    Authors: M. De la Sen, Ravi P. Agarwal, A. Ibeas and S. Alonso-Quesada

    Citation: Advances in Difference Equations 2010 2010:281612

    Content type: Research Article

    Published on:

  10. The authors employs a hybrid fixed point theorem involving the multiplication of two operators for proving an existence result of locally attractive solutions of a nonlinear quadratic Volterra integral equatio...

    Authors: MohamedI Abbas

    Citation: Advances in Difference Equations 2010 2010:127093

    Content type: Research Article

    Published on:

  11. An easy proof of the John-Nirenberg inequality is provided by merely using the Calderón-Zygmund decomposition. Moreover, an interpolation inequality is presented with the help of the John-Nirenberg inequality.

    Authors: Jiu-Gang Dong and Ti-Jun Xiao

    Citation: Advances in Difference Equations 2010 2011:913403

    Content type: Research Article

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  12. A discrete equivalent and not analogue of the well-known logistic differential equation is proposed. This discrete equivalent logistic equation is of the Volterra convolution type, is obtained by use of a func...

    Authors: EugeniaN Petropoulou

    Citation: Advances in Difference Equations 2010 2010:457073

    Content type: Research Article

    Published on:

  13. Of concern is the existence of solutions to nonlocal impulsive Cauchy problems for evolution equations. Combining the techniques of operator semigroups, approximate solutions, noncompact measures and the fixed...

    Authors: Jin Liang and Zhenbin Fan

    Citation: Advances in Difference Equations 2010 2011:784161

    Content type: Research Article

    Published on:

  14. The initial-boundary value problem for a class of linear and nonlinear equations in Hilbert space is considers. We prove the existence and uniqueness of solution of this problem. The results of this investigat...

    Authors: Akbar B. Aliev and Ulviya M. Mamedova

    Citation: Advances in Difference Equations 2010 2010:101959

    Content type: Research Article

    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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