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Modified Homotopy Analysis Method for Nonlinear Fractional Partial Differential Equations
作者：D. Ziane , M. Hamdi Cherif
来源：[J].International Journal of Analysis and Applications, 2017, Vol.14 (1), pp.77-87Etamaths Publishing
摘要：In this paper, a combined form of natural transform with homotopy analysis method is proposed to solve nonlinear fractional partial differential equations. This method is called the fractional homotopy analysis natural transform method (FHANTM). The FHANTM can easily be applied t...
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    Uniform Lacunary Statistical Convergence on Time Scales
    作者：E. Yilmaz , S.A. Mohiuddine , Y. Altin ...
    来源：[J].International Journal of Analysis and Applications, 2017, Vol.14 (1), pp.99-106Etamaths Publishing
    摘要：We introduce (θ,m)-uniform lacunary density of any set and (θ,m)-uniform lacunary statistical convergence on an arbitrary time scale. Moreover, (θ,m)-uniform strongly p-lacunary summability and some inclusion relations about these new concepts are also presented.
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      Algebraic Hyper-Structures Associated to Nash Equilibrium Point and Applications
      作者：A. Delavar Khalafi , B. Davvaz
      来源：[J].International Journal of Analysis and Applications, 2017, Vol.14 (1), pp.20-26Etamaths Publishing
      摘要：In this paper, we generalize some concepts of the game theory such as Nash equilibrium point, saddle point and existence theorems on hyper-structures. Based on new definitions and theorems, we obtain some important results in the game theory. A few suitable examples have been giv...
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        Sufficient Conditions for the Oscillation of Odd-Order Neutral Dynamic Equations
        作者：Basak Karpuz
        来源：[J].International Journal of Analysis and Applications, 2017, Vol.14 (1), pp.69-76Etamaths Publishing
        摘要：In this paper, we study oscillation and asymptotic behaviour of odd-order delay dynamic equations. We first state an oscillation test for odd-order nonneutral equations, then by comparison we provide sufficient conditions for all solutions of neutral equations to be oscillatory o...
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          Generalized Steffensen Inequalities for Local Fractional Integrals
          作者：Mehmet Zeki Sarikaya , Tuba Tunc , Samet Erden
          来源：[J].International Journal of Analysis and Applications, 2017, Vol.14 (1), pp.88-98Etamaths Publishing
          摘要：Firstly we give a important integral inequality which is generalized Steffensen’s inequality. Then, we establish weighted version of generalized Steffensen’s inequality for local fractional integrals. Finally, we obtain several inequalities related these inequalities using t...
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            Existence of Solutions for a Certain Boundary Value Problem Associated to a Fourth Order Differential Inclusion
            作者：Aurelian Cernea
            来源：[J].International Journal of Analysis and Applications, 2017, Vol.14 (1), pp.27-33Etamaths Publishing
            摘要：Existence of solutions for a fourth order differential inclusion with cantilever boundary conditions is investigated. New results are obtained when the right hand side has convex or non convex values.
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              A New Stability of the S-Essential Spectrum of Multivalued Linear Operators
              作者：Aymen Ammar , Slim Fakhfakh , Aref Jeribi
              来源：[J].International Journal of Analysis and Applications, 2017, Vol.14 (1), pp.1-8Etamaths Publishing
              摘要：We unfold in this paper two main results. In the first, we give the necessary assumptions for three linear relations $A$, $B$ and $S$ such that $\sigma_{eap,S}(A+B)= \sigma _{eap,S}(A)$ and $\sigma_{e\delta,S}(A+B)= \sigma_{e\delta,S}(A)$ is true. In the second, considering the f...
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                Geometric Characterizations of the Differential Shift Plus Alexander Integral Operator
                作者：Rabha W. Ibrahim
                来源：[J].International Journal of Analysis and Applications, 2017, Vol.14 (1), pp.34-41Etamaths Publishing
                摘要：In this effort, we deal with a new integral operator in the open unit disk. This operator is formulated by the complex Alexander operator and its derivative. Furthermore, we introduce a new subspace of the Hardy space containing the normalized analytic functions. We shall prove t...
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                  Some Integral Inequalities for Local Fractional Integrals
                  作者：M. Zeki Sarikaya , samet Erden , Hüseyin Budak
                  来源：[J].International Journal of Analysis and Applications, 2017, Vol.14 (1), pp.9-19Etamaths Publishing
                  摘要：In this paper, firstly we extend some generalization of the Hermite-Hadamard inequality and Bullen inequality to generalized convex functions. Then, we give some important integral inequalities related to these inequalities.
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                    On Generalized Inequalities of Hermite-Hadamard Type for Convex Functions
                    作者：Cetin Yildiz , M. Emin Ozdemir
                    来源：[J].International Journal of Analysis and Applications, 2017, Vol.14 (1), pp.52-63Etamaths Publishing
                    摘要：In this paper, new integral inequalities of Hermite-Hadamard type are developed for n−times differentiable convex functions. Also a parallel development is made base on concavity.
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