作者: 鍍金 時間: 2025-3-21 22:49 作者: Esalate 時間: 2025-3-22 04:19
Discrete Delta Fractional Calculus and Laplace Transforms,Laplace transform to solve initial value problems for difference equations and to solve summation equations. We then develop the discrete delta fractional calculus. Finally, we apply the Laplace transform method to solve fractional initial value problems and fractional summation equations.作者: 綁架 時間: 2025-3-22 06:35
vers all aspects of discrete functional calculus.Contains go.This text provides the first comprehensive treatment of the discrete fractional calculus. Experienced researchers will find the text useful as a reference for discrete fractional calculus and topics of current interest. Students who are in作者: 痛苦一下 時間: 2025-3-22 11:57
Pouring Wine through New Funnelsrm is obtained. Finally, a variation of constants formula for an initial value problem for a .-th, 0?.?1, order nabla fractional difference equation is given along with some applications. Much of the work in this chapter comes from the results in Hein et?al. [119], Holm [123–125], Brackins [64],作者: Germinate 時間: 2025-3-22 14:31
Nabla Fractional Calculus,rm is obtained. Finally, a variation of constants formula for an initial value problem for a .-th, 0?.?1, order nabla fractional difference equation is given along with some applications. Much of the work in this chapter comes from the results in Hein et?al. [119], Holm [123–125], Brackins [64],作者: Germinate 時間: 2025-3-22 20:59
Textbook 2015topics of the discrete calculus while being introduced to exciting recent developments, bringing them to the frontiers of the subject. ?.Most chapters may be covered or omitted, depending upon the background of the student. For example, the text may be used as a primary reference in an introductory 作者: 遺留之物 時間: 2025-3-22 22:26
inging them to the frontiers of the subject. ?.Most chapters may be covered or omitted, depending upon the background of the student. For example, the text may be used as a primary reference in an introductory 978-3-319-79809-7978-3-319-25562-0作者: 負(fù)擔(dān) 時間: 2025-3-23 03:01 作者: galley 時間: 2025-3-23 09:04
Nabla Fractional Calculus,ting of domains when one goes from the domain of the function to the domain of its delta fractional difference. This problem is not as great with the fractional nabla difference as noted by Atici and Eloe. In this chapter we study the discrete fractional nabla calculus. We?then define the correspond作者: Heresy 時間: 2025-3-23 11:47 作者: LAPSE 時間: 2025-3-23 16:57
https://doi.org/10.1007/978-3-319-25562-0Nabla fractional calculus; discrete fractional calculus; fractional boundary value problems; integer-or作者: FLIT 時間: 2025-3-23 18:41
978-3-319-79809-7Springer International Publishing Switzerland 2015作者: maculated 時間: 2025-3-23 22:47 作者: obeisance 時間: 2025-3-24 02:24 作者: Popcorn 時間: 2025-3-24 09:37 作者: 博識 時間: 2025-3-24 11:06
Implementing Microsoft DynamicsMore specifically, we begin in Sect.?. by defining the quantum difference operator and derive several of its properties. Then in Sect.?. we define an exponential function for the quantum calculus and derive several of its properties.作者: Foreknowledge 時間: 2025-3-24 16:30
https://doi.org/10.1007/978-3-540-71593-1This chapter focuses on what we call the . whose elements we will define in terms of a point . and two linear functions. There has been recent interest in mixed time scales by Auch [37, 38], Auch et?al. [39], Estes [34, 78], Erbe et?al. [76], and Mert [145].作者: Blood-Clot 時間: 2025-3-24 19:42
Simplifying and Creating SynergiesIn this chapter we derive the Green’s function for the fractional boundary value problem (FBVP) . where .?∈?(1,?2] and ..作者: Myelin 時間: 2025-3-25 01:33
Basic Difference Calculus,In this section we introduce the basic delta calculus that will be useful for our later results. Frequently, the functions we consider will be defined on a set of the form . where . or a set of the form . where . and . ? . is a positive integer.作者: engender 時間: 2025-3-25 05:45 作者: alcohol-abuse 時間: 2025-3-25 08:08 作者: Precursor 時間: 2025-3-25 15:25 作者: 假裝是我 時間: 2025-3-25 16:01
Pouring Wine through New Funnels book by Bohner and Peterson [62]. We will not assume the reader has any knowledge of the material in that book. The delta Laplace transform is equivalent under a transformation to the .-transform, but we prefer the definition of the Laplace transform given here, which has the property that many of 作者: 責(zé)問 時間: 2025-3-25 20:03
Pouring Wine through New Funnelsting of domains when one goes from the domain of the function to the domain of its delta fractional difference. This problem is not as great with the fractional nabla difference as noted by Atici and Eloe. In this chapter we study the discrete fractional nabla calculus. We?then define the correspond作者: gorgeous 時間: 2025-3-26 02:00 作者: harangue 時間: 2025-3-26 07:00 作者: 大方不好 時間: 2025-3-26 09:46
Nonlocal BVPs and the Discrete Fractional Calculus,cuss how the nonlocal structure of the discrete fractional difference and sum operators affect their interpretation and analysis. In particular, we recall from earlier chapters that the fractional difference and sum contain . nonlocalities.作者: PHON 時間: 2025-3-26 16:30 作者: 服從 時間: 2025-3-26 20:41
Photodissociation of Metal-Containing Gas Phase Ions,tant difficulty in studying gas phase ions is the relative scarcity of powerful tools for characterizing the molecules, since most of the array of methods which make conventional neutral-molecule chemistry a tractable field of study, such as NMR, ESR, chromatography, optical activity, and IR/Raman, 作者: 沖擊力 時間: 2025-3-26 21:15 作者: MEN 時間: 2025-3-27 01:18 作者: 闡明 時間: 2025-3-27 06:32
Conference proceedings 2024 Languages, SPELLL 2023, held in Perundurai, Erode, India, during December 6–8, 2023...The 27 full papers and 6 short papers presented in this book were carefully reviewed and selected from 94 submissions. The papers are divided into the following topical sections: language resources; language techn作者: infarct 時間: 2025-3-27 11:46 作者: octogenarian 時間: 2025-3-27 15:11
Hans Michael Baumgartnerch into selenium-resistant algal strains and their possible use for remediation of selenium contaminated environments. Secondly, we will examine case examples of selenium-enriched algae as a source of organic selenium with health benefits for different domestic animals.作者: 傲慢物 時間: 2025-3-27 19:54
An Evaluation of Integrated Coastal Management in the United Kingdomands and the Isle of Man, this paper only focuses on the aforementioned countries. These are contiguous geographical areas sharing similar coastal issues and institutional systems unlike the dependents, which possess more divorced legal systems and are not full members of the European Union.作者: 史前 時間: 2025-3-28 00:27 作者: 在駕駛 時間: 2025-3-28 04:48
Wilhelm Kalveramuf der wirtschaftlichen Verh?ltnisse, da? Gewerbeflei?, Kapital und Handel einen weit m?chtigeren Einflu? auf Wirtschaftssubjekte und Gelehrte ausgeübt h?tten als blo?e Lehrmeinungen; habe man doch sogar behauptet, da? die wirtschaftlichen Belange den entscheidenden Faktor in der Geschichte der Mens作者: 橡子 時間: 2025-3-28 08:15
e tailoring of abrupt doping profiles. (ii) Fine characterization down to the atomic scale using recently devel- oped, powerful techniques such as scanning tunn978-3-642-72969-0978-3-642-72967-6Series ISSN 0930-8989 Series E-ISSN 1867-4941 作者: 不易燃 時間: 2025-3-28 11:32 作者: babble 時間: 2025-3-28 14:46 作者: Fraudulent 時間: 2025-3-28 22:44
Book 2011ren nimmt die Bedeutung dieses Berichtsinstruments zu. Thomas Stein untersucht anhand von empirischen Studien, ob sich durch die Gesetzes?nderungen zur Erstellung von Lageberichten sowie die Vorschriften zu deren Durchsetzung eine verbesserte Berichtspraxis feststellen l?sst. Es erfolgt die Erarbeit