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Proceedings of International Conference on Applied Analysis and Mathematical Modeling 2013

This thematic Series originates from the International Conference on Applied Analysis and Mathematical Modeling which will be held on 2-5 June 2013 in Istanbul. It is focused on new ideas in the area on boundary value problems and related topics. The studies of boundary value problems for ordinary and partial differential equations are driven not only by a theoretical interest but also by the fact that several phenomena in engineering, various fields of physics and modeling and numerical simulations assisted by computer algebra systems.

Edited by: Mustafa Bayram and Adem Kilicman

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  1. Content type: Research

    In the present work, we consider one of the possible generalizations of linear and nonlinear Volterra integral equations of the second kind in the case when the independent variable belongs to an arbitrary non...

    Authors: Andrey Zahariev, Atanaska Georgieva and Lozanka Trenkova

    Citation: Journal of Inequalities and Applications 2014 2014:260

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  2. Content type: Research

    It was Chlodowsky who considered non-trivial Bernstein operators, which help to approximate bounded continuous functions on the unbounded domain. In this paper, we introduce the Chlodowsky variant of q-Bernstein-...

    Authors: Tuba Vedi and Mehmet Ali Özarslan

    Citation: Journal of Inequalities and Applications 2014 2014:189

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  3. Content type: Research

    In this paper, we establish several new inequalities for twice differentiable mappings that are connected with the celebrated Hermite-Hadamard integral inequality.

    Authors: Muhamet Emin Özdemir, Çetin Yildiz and Mustafa Gürbüz

    Citation: Journal of Inequalities and Applications 2014 2014:180

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  4. Content type: Research

    In the article, the authors introduce a new notion, ‘α-preinvex function’, establish an integral identity for the newly introduced function, and find some Hermite-Hadamard type integral inequalities for a functio...

    Authors: Yan Wang, Miao-Miao Zheng and Feng Qi

    Citation: Journal of Inequalities and Applications 2014 2014:97

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  5. Content type: Research

    In this paper, we present the extended Mittag-Leffler functions by using the extended Beta functions (Chaudhry et al. in Appl. Math. Comput. 159:589-602, 2004) and obtain some integral representations of them. Th...

    Authors: Mehmet Ali Özarslan and Banu Yılmaz

    Citation: Journal of Inequalities and Applications 2014 2014:85

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  6. Content type: Research

    In this paper, we establish the existence and multiplicity of symmetric positive solutions for a class of p-Laplacian fourth-order differential equations with integral boundary conditions. Our proofs use the Lera...

    Authors: Tugba Senlik and Nuket Aykut Hamal

    Citation: Boundary Value Problems 2014 2014:44

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