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6 articles for “N2-function”
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On the Fractional Calculus Operators and DefiniteResults Including N2-Function
Abstract: In this present paper, fractional Riemann-Liouville calculus operators of a new special function called N2-function is introduced given by author has been obtained. This function is a modified form of Mittag-Leffler function [1]. The author drives the results between N2-function and fractional operators. Cite this Article:Mohd. Farman Ali, Manoj Sharma, Renu Jain. On the Fractional Calculus Operators and Definite Results Including N2-Function. Research & Reviews: Discrete Mathematical Structures. 2015; 2(2): …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 2, Issue 2, 2015 · pp. 5–9 Read article
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FD and DDA of N2 Function
Abstract: The object of the present paper is to establish the results of Double Dirichlet average (DDA) of N2 Function, using Riemann-Liouville Fractional derivative (FD). This function is a modified form of Mittag-Leffler function [15]. The author drives the results between N2-function and fractional operators. The N2 Function can be measured as a Dirichlet average and connected with fractional calculus. In this paper the solution comes in compact form of double …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 5, Issue 2, 2018 · pp. 34–39 Read article
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Fractional q-Derivative and Generalized N2 Function
Abstract: AbstractThis paper is devoted to fractional q-derivative of special functions. To begin with the theorem on term by term q-fractional differentiation has been derived. The result is an extension of an earlier result due to Yadav and Purohit and Sharma, Jain and Ali. As a special case, of fractional q-differentiation of N2 Function has been obtained.Keywords: Fractional integral and derivative operators, Fractional q-derivative, N2 Function and Special functionsMathematics Subject Classification: …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 6, Issue 1, 2019 · pp. 38–40 Read article
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Fractional q-Derivative and N2 Function
Abstract: AbstractThe study of fractional q-calculus in this paper serves as a bridge between the fractional q-calculus in the literature and the fractional q-calculus of Special Functions. This paper is devoted to fractional q-derivative of special functions. Special functions are particular mathematical functions which have more or less established names and notations due to their importance in mathematical analysis, physics, or other applications in engineering .To begin with the theorem on …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 6, Issue 1, 2019 · pp. 41–43 Read article
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A Cyclic Injection of High Temperature N2-foam in Fuyv Reservoir
Abstract: Steam stimulation has already been proved as an important thermal recovery technology. In Daqing, the development and management of high-heterogeneous heavy oil reservoirs plays an important role in stabilizing the oil output. To combine the good features of steam injection and cyclic injection, a cyclic steam flooding has been conducted in the Fuyv reservoir, Daqing. This paper is to present a detailed process of the cyclic-steam injection. The target Fuyv …
Published in Journal of Petroleum Engineering & Technology · Vol. 3, Issue 2, 2013 · pp. 1–12 Read article
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Historical Review of Ionosphere in Perspective of Sources of Ionization and Radio Waves Propagation
Abstract: Before the discovery of ionosphere, the electronic communication was not possible at a distance greater than 100 km due to the curvature of Earth; but after its discovery, the ionospheric wave propagation made possible the electronic communication at even more than 3000 km via reflection of radio waves through ionosphere. The ionosphere is electrically neutral, ranging from 50 to 1000 km in altitude and outer limit can exceed to 3000 …
Published in Research & Reviews : Journal of Space Science & Technology · Vol. 7, Issue 2, 2018 · pp. 28–39 Read article