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Fractional Models and their Applications

  1. In this paper, we have investigated that initial time difference boundedness criteria and Lagrange stability for fractional order differential equation in Caputo's sense are unified with Lyapunov-like function...

    Authors: Coşkun Yakar, Muhammed Çiçek and Mustafa Bayram Gücen

    Citation: Advances in Difference Equations 2011 2011:54

    Content type: Research

    Published on:

  2. This article addresses the problem of robust pseudo state feedback stabilisation of commensurate fractional order polytopic systems (FOS). In the proposed approach, Linear Matrix Inequalities (LMI) formalism i...

    Authors: Christophe Farges, Jocelyn Sabatier and Mathieu Moze

    Citation: Advances in Difference Equations 2011 2011:35

    Content type: Research

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  3. In this article, we present an active control methodology for controlling the chaotic behavior of a fractional order version of Rössler system. The main feature of the designed controller is its simplicity for...

    Authors: Abolhassan Razminia, Vahid Johari Majd and Dumitru Baleanu

    Citation: Advances in Difference Equations 2011 2011:15

    Content type: Research

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  4. In this article, we consider the existence of at least one positive solution to the three-point boundary value problem for nonlinear fractional-order differential equation with an advanced argument

    Authors: Guotao Wang, SK Ntouyas and Lihong Zhang

    Citation: Advances in Difference Equations 2011 2011:2

    Content type: Research

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  5. We provide sufficient conditions for the existence of mild solutions for a class of abstract fractional integrodifferential equations with state-dependent delay. A concrete application in the theory of heat co...

    Authors: José Paulo Carvalho dos Santos, Claudio Cuevas and Bruno de Andrade

    Citation: Advances in Difference Equations 2011 2011:642013

    Content type: Research Article

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  6. This paper proposes the calculation of fractional algorithms based on time-delay systems. The study starts by analyzing the memory properties of fractional operators and their relation with time delay. Based o...

    Authors: J.A. Tenreiro Machado

    Citation: Advances in Difference Equations 2011 2011:934094

    Content type: Research Article

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  7. We implement relatively new analytical technique, the Homotopy perturbation method, for solving nonlinear fractional partial differential equations arising in predator-prey biological population dynamics syste...

    Authors: Yanqin Liu and Baogui Xin

    Citation: Advances in Difference Equations 2011 2011:190475

    Content type: Research Article

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  8. 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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  9. 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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  10. 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

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  11. 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

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  12. 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

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  13. The classical Nambu mechanics is generalized to involve fractional derivatives using two different methods. The first method is based on the definition of fractional exterior derivative and the second one is b...

    Authors: Ali Khalili Golmankhaneh, AlirezaKhalili Golmankhaneh, Dumitru Baleanu and MihaelaCristina Baleanu

    Citation: Advances in Difference Equations 2010 2011:526472

    Content type: Research Article

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