Hindawi Publishing Corporation Advances in Diﬀerence Equations Volume 2011, Article ID 584874, 13 pdf

... Advances in Diﬀerence Equations 13 13 R. Gorenﬂo and F. Mainardi, “Fractional calculus: integral and diﬀerential equations of fractionalorder,” in Fractals and Fractional Calculus in Continuum ... diﬀerential equations driven by L´evy noise,” Journal of AppliedMathematics and Stochastic Analysis, vol. 16, no. 2, pp. 97–119, 2003. Hindawi Publishing Corporation Advances in Diﬀerence Equations Volume ... 1.1 remains an untreated topic in the literature.Anticipating a wide interest in the subject, this paper contributes in ﬁlling this important gap. In particular, to illustrate our main results,...

Hindawi Publishing Corporation Advances in Diﬀerence Equations Volume 2011, Article ID 190475, 11 pot

... t and the parameter α, β increase,the error between the two methods is growing. Hindawi Publishing Corporation Advances in Diﬀerence Equations Volume 2011, Article ID 190475, 11 pagesdoi:10.1155/2011/190475Research ... Biology, vol. 17, no. 1, pp. 11–32, 1983.2AdvancesinDiﬀerence Equations system in the form of a coupled reaction-diﬀusion equations. Petrovskii et al. 22 obtainedan exact solution of the spatiotemporal ... u0v3,... Advances in Diﬀerence Equations 7Case 2. In this case, the initial conditions of systems 1.1 are given byux, y, 0 exy,vx, y, 0 exy. 4.5By using 3.1 and...

Hindawi Publishing Corporation Advances in Diﬀerence Equations Volume 2011, Article ID 234215, 12 docx

... considering the diﬀerence Nevanlinna theory. Here, we state the following version.2AdvancesinDiﬀerence Equations be zero. Recently, for an analog of Hayman conjecture for diﬀerence, Laine and Yang ... 2, 3inRemark 1.1 to show thatfznfz  c − αz may have ﬁnitely many zeros. But we have not succeed in reducing thecondition n ≥ 6ton ≥ 4inTheorem 1.2. In the following, we will consider ... Funktional’nyu i A naliz i ikh Prilozheniya, no. 14, pp. 83–87, 1971. Advances in Diﬀerence Equations 7Applying the ﬁrst main theorem and Lemma 2.2, we observe thatTr, fzn Tr,...

Hindawi Publishing Corporation Advances in Diﬀerence Equations Volume 2010, Article ID 127093, 11 pdf

... Hindawi Publishing Corporation Advances in Diﬀerence Equations Volume 2010, Article ID 127093, 11 pagesdoi:10.1155/2010/127093Research Article On the Existence of ... s1−αds2AdvancesinDiﬀerence Equations It is worthwhile mentioning that up to now integral equations of fractional order haveonly been studied in the space of real functions deﬁned on a bounded interval. ... s1−αds, 1.1for all t ∈and α ∈ 0, 1, in the space of real functions deﬁned, continuous, and boundedon an unbounded interva l.8AdvancesinDiﬀerence Equations Similarly, if t1,t2∈with...

Hindawi Publishing Corporation Advances in Diﬀerence Equations Volume 2010, Article ID 798067, 37 pdf

... strongly to g in E, Advances in Diﬀerence Equations 27Deﬁney2tt0St − sf2sds, t ∈ J.5 .13 Using 5.8 and 5.12, a simple integration by parts yields the following estimates, ... L1-Carath´eodory multivalued map, and let Γ be a linear continuous mapping from L1a, b,E into18 Advances in Diﬀerence Equations Since K is compact, we may pass to a subsequence, if necessary, ... sBEpsds.4 .13 The right-hand side tends to zero as τ2− τ1→ 0sinceSt is uniformly continuous. Advances in Diﬀerence Equations 316. The Relaxed ProblemMore precisely, we compare, in this...

Hindawi Publishing Corporation Advances in Diﬀerence Equations Volume 2011, Article ID 107384, 11 doc

... Hindawi Publishing Corporation Advances in Diﬀerence Equations Volume 2011, Article ID 107384, 11 pagesdoi:10.1155/2011/107384Research Article New Existence Results for Nonlinear FractionalDifferential ... new in the sense that the nonlocal parameter in three-point integral boundaryconditions appears in the integral part of the conditions in contrast to the available literatureon three-point ... nonlinear fractional diﬀerential equations of orderq ∈ 1, 2 with three-point integral boundary conditions. Some new existence and uniquenessresults are obtained by using standard ﬁxed point...

Hindawi Publishing Corporation Advances in Diﬀerence Equations Volume 2011, Article ID 385324, 16 docx

... system 3.14 corresponding to control w u, τ ∈ W.Ofcourse,wehavex1z1. Hindawi Publishing Corporation Advances in Diﬀerence Equations Volume 2011, Article ID 385324, 16 pagesdoi:10.1155/2011/385324Research ... ∞3.19uniformly in t on some closed interval of 0,T in the strong operator topology sense.For system 3.14, we turn to consider the following Meyer problem.14 Advances in Diﬀerence Equations Remark ... method.1. IntroductionIt has been shown that the accurate modelling in dynamics of many e ngineering, physics,and economy systems can be obtained by using fractional diﬀerential equations. ...

Hindawi Publishing Corporation Advances in Diﬀerence Equations Volume 2011, Article ID 394584, 9 pptx

... 1467–1486, 2008. Hindawi Publishing Corporation Advances in Diﬀerence Equations Volume 2011, Article ID 394584, 9 pagesdoi:10.1155/2011/394584Research Article Some Results on n-Times Integr ated ... Netherlands, 1996. 13 T J Xiao and J. Liang, “W idder-Arendt theorem and integrated semigroups in locally convex space,”Science in China. Series A, vol. 39, no. 11, pp. 1121– 1130 , 1996.14 ... allcontinuously diﬀerentiable X-valued functions on 0, ∞. C0, ∞,X is the space of allcontinuous X-valued functions on 0, ∞.2AdvancesinDiﬀerence Equations All operators are linear....

Hindawi Publishing Corporation Advances in Diﬀerence Equations Volume 2011, Article ID 713201, 12 potx

... x01Γαξn,3 .13 whereξnt∗−αs1−αt∗− s − 1α−1fs  α − 1,xns  α − 1.3.14 Hindawi Publishing Corporation Advances in Diﬀerence Equations Volume 2011, Article ID 7132 01, ... 1,xs  α − 14.42AdvancesinDiﬀerence Equations operator. To the best of our knowledge, this is a pioneering work on discussing initial valueproblems IVP for short in discrete fractional ... corresponding diﬀerence one which makes that the research aboutfractional diﬀerence equations becomes important. Following the deﬁnition of Caputo like diﬀerence operator deﬁned in 4, here we investigate...

Hindawi Publishing Corporation Advances in Diﬀerence Equations Volume 2010, Article ID 185701, 14 doc

... computing, we geta114105gsds−1825,a2431252/51/5G25,sds−1.4.4 Hindawi Publishing Corporation Advances in Diﬀerence Equations Volume 2010, Article ID ... to their wide range of applications in applied mathematics, physics, andengineering, especially in the bridge issue. To our knowledge, most papers in literature Advances in Diﬀerence Equations ... Applicatae Sinica, vol. 19, no. 1, pp. 117–122, 2003.10 D. Guo, Nonlinear Functional Analysis, Shangdong Science and Technology Press, Jinan, China, 1985. Advances in Diﬀerence Equations 13 4. An...

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