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28 articles for “q-Calculus”
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Research ArticleOpen accessIn the keywordsOn the Variational Symmetries of P.D.E's Incorporating Boundary Value ConstraintsUchechukwu Michael Opara, Festus Irimisose Arunaye et al.A crucial interface between Optimization theory, Trace theory, and Lie Symmetry theory is brought to the fore in this paper, as an enhancement of standard known results established in Partial Differential Equation (P.D.E) analysis. In particular, the incorporation of compatible Boundary Value constraints in the re-assessment of admitted variational symmetries is a key process in the development of the discussions … …Journal of Mathematics and Statistics, Vol. 21, Issue 1 · 22 Jan 2025 · 8,433 accessesView PDFCite
Research ArticleOpen accessIn the keywordsOn Generalized Some (p, q)-Special PolynomialsUgur Duran, Mehmet Acikgoz, Serkan AraciIn this study, we introduce a new class of generalized (p, q)-Bernoulli, (p, q)-Euler and (p, q)-Genocchi polynomials and investigate their some properties. We derive (p, q)-generalizations of some familiar formulae belonging to classical Bernoulli, Euler and Genocchi polynomials. We also obtain a (p, q)-extension of the Srivastava-Pintér addition theorem. …Journal of Mathematics and Statistics, Vol. 14, Issue 1 · 18 May 2018 · 7,437 accessesView PDFCite
Research ArticleOpen accessIn the keywordsApproximate Series Solution of Nonlinear, Fractional Klein-Gordon Equations Using Fractional Reduced Differential Transform MethodEman Abuteen, Asad Freihat, Mohammed Al-Smadi et al.This analysis proposes an analytical-numerical approach for providing solutions of a class of nonlinear fractional Klein-Gordon equation subjected to appropriate initial conditions in Caputo sense by using the Fractional Reduced Differential Transform Method (FRDTM). This technique provides the solutions very accurately and efficiently in convergent series formula with easily computable coefficients. The behavior of the approximate series solution for different … …Journal of Mathematics and Statistics, Vol. 12, Issue 1 · 26 Mar 2016 · 7,901 accessesView PDFCite
Research ArticleOpen accessIn the keywordsMethods of Fast ExponentiationMohammed Al-MaitahProblem statement: Modular exponentiation constitutes the basis of many well-known and widely used public key cryptosystems. Approach: A fast portable modular exponentiation algorithm considerably enhanced the speed and applicability of these systems, also an efficient implementation of this algorithm was the key to high performance of such system. Results: In this study, two main approaches for solving this problem were … …Journal of Computer Science, Vol. 6, Issue 5 · 31 May 2010 · 7,695 accessesView PDFCite
Research ArticleOpen accessIn the abstractElementary Structure of Matter can be Studied with New Quantum ComputersNicolae Petrescu, Florian Ion Tiberiu PetrescuMuch has been talked about quantum computers. Today they are working on difficult simulations, so we can already congratulate the college of researchers at the Oak Ridge National Laboratory as the world's first to successfully simulate an atomic nucleus using a quantum computer. The results that were published in the physical examination letters demonstrate the huge capacity of quantum systems … …American Journal of Engineering and Applied Sciences, Vol. 11, Issue 2 · 25 Jun 2018 · 7,698 accessesView PDFCite
Research ArticleOpen accessIn the abstractTHEY SHOULDN’T POST THAT! STUDENT PERCEPTION OF INAPPROPRIATE POSTS ON FACEBOOK REGARDING ALCOHOL CONSUMPTION AND THE IMPLICATIONS FOR PEER SOCIALIZATIONLoreen WolferMany students believe that drinking alcohol is part of the collegiate experience and showing that one consumes alcohol is an important part of establishing that one fits into this atmosphere. Facebook is one means in which college students present the appearance of social conformity in order to gain peer approval; yet, in accordance with Privacy Calculus Theory, students also need … …Journal of Social Sciences, Vol. 10, Issue 2 · 18 Jul 2014 · 7,831 accessesView PDFCite
Research ArticleOpen accessIn the abstractA Price Hedging Model in Dynamic MarketKuo-Wei Lin, Kuang-Jung Tseng, Szu-Cheng ChengProblem statement: Pricing is a problem when a firm has to set a price for the first time. This happens when the firm develops or acquires a new product, introduces its regular product into a new distribution or geographical area, or enters bids on the new contract work. Many companies try to set the price to maximize current profits. They … …American Journal of Applied Sciences, Vol. 9, Issue 7 · 3 Aug 2012 · 6,938 accessesView PDFCite
Research ArticleOpen accessIn the abstractFinding the Envelope and Efficient Frontier of Financial AssetsFarida Kachapova, Ilias KachapovProblem statement: One of the problems considered in financial mathematics is finding portfolios of given financial assets that minimize risk for targeted returns. The set of such portfolios is called the envelope of the assets. Traditionally this problem is solved as a calculus minimization problem involving partial derivatives and Lagrange multipliers. Approach: In this study we describe an invariant geometric … …Journal of Mathematics and Statistics, Vol. 8, Issue 3 · 16 Jul 2012 · 9,279 accessesView PDFCite
Research ArticleOpen accessIn the abstractSegmentation of Ureteric and Bladder Calculi in Ultrasound ImagesS. SridharProblem statement: The framework for segmenting calculi in ureter and bladder using ultrasound images is proposed in this study. Calculi are due to abnormal collection of certain chemicals like oxalate, phosphate and uric acid. These calculi can be present in kidney, urethra or in urinary bladder. The extraction of calculi in medical images is a difficult task as no standard … …Journal of Computer Science, Vol. 8, Issue 5 · 27 Feb 2012 · 6,917 accessesView PDFCite
Research ArticleOpen accessIn the abstractFractional Quantum Field Theory on Multifractals SetsEl-Nabulsi Ahmad RamiProblem statement: This study is a contribution to the general program of describing complex dynamical systems using the tool of fractional calculus of variations. Approach: Following our previous work, fractional quantum field theory based on the fractional actionlike variational approach supported by Saxena-Kumbhat fractional integrals functionals, fractional derivative of order (α, β) and dynamical fractional exponent on multi-fractal sets is … …American Journal of Engineering and Applied Sciences, Vol. 4, Issue 1 · 15 Mar 2011 · 7,343 accessesView PDFCite