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16 results for “Fractional Order”
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Research ArticleOpen accessPhrase in the titleDynamics and Stability of q-Fractional Order Pantograph Equations With Nonlocal ConditionVivek Devaraj, Kuppusamy Kanagarajan, Seenith SivasundaramThis paper deals with some existence and Ulam-Hyers-q-Mittag-Leffler stability results for q-fractional order pantograph equation. An application is made of a Darbo's fixed point theorem for the existence of solutions. …Journal of Mathematics and Statistics, Vol. 14, Issue 1 · 10 Feb 2018 · 7,421 accessesView PDFCite
Research ArticleOpen accessPhrase in the titleOptimization of the Correcting Gains of Fractional Order Hold Devices for Inter-sample Output ReconstructionM. D.L. Sen, A. BilbaoThe design of Fractional Order Holds (FROH) of correcting gains β ∈ [-1, 1] (potentially and possibly including zero-order holds, ZOH with β = 0, and firelation holds, FROH relating) is discussed related to achieving output deviations being close with respect to its sampled values. A squared error time- integral between the current output and its sampled values is minimized … …American Journal of Applied Sciences, Vol. 2, Issue 4 · 30 Apr 2005 · 7,024 accessesView PDFCite
Research ArticleOpen accessPhrase in the titleStudy of Fractional Order Integro-Differential Equations by using Chebyshev Neural NetworkSarkhosh S. Chaharborj, Shahriar S. Chaharborj, Yaghoub MahmoudiRecently fractional integro-differential equations have been proposed for the modeling of many complex systems. Simulation of these equations requires the development of suitable numerical methods. This paper is devoted to finding the numerical solution of some classes of fractional integro-differential equations by employing the Chebyshev Neural Network (ChNN). The accuracy of proposed method is shown by comparing the numerical results … …Journal of Mathematics and Statistics, Vol. 13, Issue 1 · 11 Feb 2017 · 7,403 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleOn Almost Periodic Solutions of Abstract Semilinear Fractional Inclusions with Weyl-Liouville Derivatives of Order γ ∈ (0, 1]Marko KostićThe main aim of this paper is to examine the existence and uniqueness of almost periodic solutions for a class of (semilinear) fractional relaxation inclusions with Stepanov almost periodic coefficients. We deal with the Weyl-Liouville fractional derivatives of order γ ∈ (0, 1], paying special attention to the analysis of semilinear differential inclusions of first order. We use the results … …Journal of Mathematics and Statistics, Vol. 13, Issue 3 · 26 Jul 2017 · 6,787 accessesView PDFCite
Research ArticleOpen accessIn the keywordsOn Fractional Hold Devices Versus Positive Realness of Discrete Transfer FunctionsM. de la Sen, A. Bilbao- GuillernaThe appropriate use of fractional order holds (β-FROH) of correcting gains βε[-1,1] as an alternative to the classical zero and first order -holds (ZOH, FOH) is discussed related to the positive realness of the associate discrete transfer functions obtained from a given continuous transfer function. It is proved that the minimum direct input-output gain (i.e. the quotient of the leading … …American Journal of Applied Sciences, Vol. 2, Issue 3 · 31 Mar 2005 · 7,189 accessesView PDFCite
Research ArticleOpen accessIn the keywordsCoupled Pettis-Hadamard Fractional Differential Systems with Retarded and Advanced ArgumentsSaïd Abbas, Mouffak Benchohra, Seenith SivasundaramIn this study, we present some results concerning the existence of weak solutions for some coupled systems of Hadamard fractional differential equations involving the both retarded and advanced arguments. Our results are obtained by using fixed point theory and the technique of measure of weak noncompactness. …Journal of Mathematics and Statistics, Vol. 14, Issue 1 · 10 Feb 2018 · 7,490 accessesView PDFCite
Research ArticleOpen accessIn the abstractExistence Results for a Class of Nonlinear Hadamard Fractional with p-Laplacian Operator Differential EquationsSamah HorrigueIn this study, we are concerned with the existence and uniqueness of solution for some nonlinear Hadamard fractional differential equations. Our results are based on different classical fixed point theorems. Some useful examples are presented in order to illustrate the validity of our main results. …Journal of Mathematics and Statistics, Vol. 17, Issue 1 · 2 Oct 2021 · 6,886 accessesView PDFCite
Research ArticleOpen accessIn the abstractA Review of the Recent Advances Made in the Black-Scholes Models and Respective Solutions MethodsYasir Hamad Al Saedi, Gurudeo Anand TularamThe Black-Scholes model has been a major advance in finance over a period of time; this paper examines this model in some detail, in terms of the latest developments in both analytical and numerical solutions. The paper initially briefly examines historical aspects but quickly moves to a critical analysis of the works in the applications, solutions and implications for the … …Journal of Mathematics and Statistics, Vol. 14, Issue 1 · 8 Jan 2018 · 8,621 accessesView PDFCite
Research ArticleOpen accessIn the abstractImpact of Microfinance on the Efficiency of Maize Producers in NigeriaMuhammad Auwal Ahmed, Zainalabidin Mohamed, Abdullahi Iliyasu, Golnaz RezaiThe study applies descriptive analysis, Slacks-Based Measure (SBM) of efficiency model and fractional regression model to data collected in 2016 using cross-sectional survey of maize producers in Nigeria. The purpose was to determine the impact of microfinance on the technical efficiency of maize producers and evaluates factors that influence inefficiency among credit beneficiaries and non-credit beneficiaries. Results show that the … …American Journal of Applied Sciences, Vol. 14, Issue 5 · 30 May 2017 · 7,666 accessesView PDFCite
Research ArticleOpen accessIn the abstractOptimization of Biodiesel Production from Spent Palm Cooking Oil Using Fractional Factorial Design Combined with the Response Surface MethodologyS.M. Zakir Hossain, Nahid Sultana, Muhammad Faisal Irfan et al.Fractional Factorial Design (FFD) of the experiments combined with the response surface methodology was used to determine the optimum conditions for the production of biodiesel from Used Cooking Oil (UCO) in a batch reactor. Spent palm olein cooking oil was used as a raw material for biodiesel production as it is commonly used in most of the restaurants in Bahrain. … …American Journal of Applied Sciences, Vol. 13, Issue 11 · 22 Nov 2016 · 8,443 accessesView PDFCite