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369 articles for “fractionizing”
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Fractional q-calculus of the R-Series
Abstract: AbstractIn this present paper we introduce a new special function, called as R-series given by the author. This function is a special case of H-function given by Inayat Hussain. This paper is devoted to fractional q-derivative of special function. To begin with the theorem on term by term q-fractional differentiation has been derived. Fractional q-differentiation of R-series has been obtained. Keywords and Phrases: Fractional integral and derivative operators, Fractional q-derivative, …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 4, Issue 1, 2017 · pp. 5–7 Read article
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Triple Dirichlet Average of New M-Function and Fractional Derivative
Abstract: Abstract:The aim of present paper to establish some results of Triple Dirichlet average of M-Function, using fractional derivative. Fractional calculus is powerful branch of mathematics that has also sporadically been applied to structural dynamics problems. Indeed, it appears to us to be a solution in search of a good problem. In that sense, it has some of the character of the laser shortly after its development. Fractional calculus is also …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 4, Issue 2, 2017 · pp. 37–41 Read article
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On Generalized fractional Integral Operators
Abstract: AbstractIn this paper, different integral operators for functions of two variables namely fractional integral operator and generalized fractional integral operator have been defined. Also defined the different spaces for functions of two variables and studied defined the operators on these spaces. Finally, proved the generalized fractional integral operators for function of two variables that are bounded from a generalized Morrey space of functions of two variables to another.Keywords: fractional integral …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 6, Issue 1, 2019 · pp. 10–14 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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Liquid Chromatography Mass Spectrometer (LC/MS) Profile Revealed Flavonoids with Antioxidant Potential in Butanol Fraction of Gymnema Sylvestre Leaf Extract
Abstract: Gymnema sylvestre (Asclepiadaceae) is widely used in the treatment of several diseases associated with oxidative stress. This study aimed to identify Flavonoids with antioxidant potentials in Butanol fraction of Gymnema sylvestre leaf extract. In vitro antioxidant activity was studied using DPPH and Ferric Reducing Antioxidant Power (FRAP). The results revealed higher radical scavenging activity of 86.53±0.86 in DPPH compared to the control Ascorbic acid with 84.71±0.61 and also similarly in …
Published in Research & Reviews: A Journal of Pharmacognosy · Vol. 9, Issue 1, 2022 · pp. 26–39 Read article
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Neural Network Based Fractional Order PID Controller for Harmonic Mitigation of Induction Motor Drive System
Abstract: Torque produced in IM (induction Motor) is collected fundamental torque, however, due to core saturation, air gap irregularity, and winding distribution; stator and rotor slotting harmonics torque are produced. This reduces the quality of the power system, life span, and performance of the motor and the controller device. In this paper, a neural network, based fractional order proportional integral derivative (NNFOPID) controller is designed to compensate the harmonics of the …
Published in International Journal of Electrical Power and Machine Systems · Vol. 1, Issue 1, 2023 · pp. 23–41 Read article
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Influence of the Load, Sliding Speed, and Weight Fractions on Wear of a Hybrid Aluminium Metal Matrix Composite
Abstract: The vital focus of the research is intended in examining the aspect that impact the rate of wear for a hybrid aluminium metal matrix composite. The percentages of two reinforcements that are employed, the weight, and the sliding speed are the variables taken. The procedure entails employing the vortex-stir casting process to produce the hybrid composite. Utilizing a pin-on-disc apparatus, the fabricated composite materials are evaluated in compliance with the …
Published in Journal of Polymer & Composites · Vol. 11, Issue 13, 2023 · pp. 188–198 Read article
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Evaluating the Role of Platelet Indices, with a Focus on Immature Platelet Fraction (IPF), in Differentiating Hyper-Destructive and Hypo-Productive Thrombocytopenia: A Study from Ludhiana, Punjab, India
Abstract: Background: Thrombocytopenia, characterized by a reduction in platelet count, is commonly observed in clinical settings. Its etiology can be broadly classified into hyper-destructive thrombocytopenia, where platelets are destroyed at an accelerated rate, and hypo-productive thrombocytopenia, where platelet production is impaired. Differentiating between these two causes is essential for effective management. The Immature Platelet Fraction (IPF) has emerged as a promising non-invasive diagnostic tool to distinguish these causes. Objectives: The primary …
Published in Research and Reviews: Journal of Oncology and Hematology · Vol. 14, Issue 2, 2025 Read article
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Effect of Fiber Weight Fraction on the Mechanical Performance of Calotropis Gigantea Fiber-Reinforced Polyester Composites
Abstract: Natural fiber-reinforced composites have attracted more attention as environmentally friendly substitutes to synthetic materials since the move towards a sustainable approach to engineering materials has gained in popularity. This paper focuses on the potential use of Calotropis gigantea (CG) stem fibers as laminate reinforcement with bio-composites made through an unsaturated polyester resin (GP) system. Super strength fibers were pulled out, treated with alkaline to boost interfacial adhesion, and positioned in …
Published in Journal of Polymer & Composites · Vol. 14, Issue 1, 2026 · pp. 339–349 Read article
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Mannan-Rich Fractions in Poultry Nutrition: A Sustainable and Defensive Strategy against Antimicrobial Resistance
Abstract: Antimicrobial resistance (AMR) has evolved to be a significant global threat, menacing worldwide health and food security. Its proliferation in poultry farming has spurred the search for sustainable, non-antibiotic alternatives. One promising alternative is Mannan-Rich Fractions (MRFs), which is derived from Saccharomyces cerevisiae. These bioactive compounds not only support poultry health but also aid in suppressing pathogenic bacteria without contributing to resistance. This review brings together current studies highlighting how …
Published in Recent Trends in Infectious Diseases · Vol. 3, Issue 2, 2026 · pp. 1–16 Read article
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Fractional Homotopy Analysis Transform Method for a Fin Having Temperature Dependent Internal Heat Generation
Abstract: Fractional Homotopy Analysis Transform Method (FHATM) is a new analytical tool for solving homogeneous and non-homogeneous fin equations. FHATM is a novel and innovative modification in Laplace Transform Algorithm (LTA) thus making analysis easier. Non-linear problems are solved by proposed technique without using Adomian and He’s polynomial which is a clear benefit of this new algorithm over decomposition and homotopy perturbation transform methods. This is an elementary technique which gives …
Published in Journal of Experimental & Applied Mechanics · Vol. 10, Issue 1, 2019 · pp. 23–34 Read article
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Delta Sigma Fractional N Frequency Synthesis
Abstract: Frequency synthesizers are fast becoming essential for several broadcast bands and circuits as communication technology hasimproved. To meet this need, the fractional N frequency synthesizer was created. This synthesizer has proven its supremacy as a noteworthyinnovation by permitting various improvements over comparable concepts. Only when it is combined with delta-sigma modulation is thispossible. This combi- national circuit enhances frequency resolution and noise performance. PLL-based frequency synthesis is often used toproduce …
Published in Journal of VLSI Design Tools and Technology · Vol. 13, Issue 2, 2023 · pp. 12–20 Read article
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Fractional Calculus of the R-Series
Abstract: The present paper creates a special function called as R-series. This is a special case of H-function given by Inayat Hussain. The Hypergeometric function, Mainardi function and M-series follow R-series and these functions have recently found essential applications in solving problems in physics, biology, bio-science, engineering and applied science etc. Cite this ArticleMohd. Farman Ali, Manoj Sharma. Fractional calculus of the R-Series. Research & Reviews: Discrete Mathematical Structures. 2016; 3(3): …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 3, Issue 3, 2016 · pp. 1–5 Read article
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Fractional Integral and Dirichlet Average of the R-Series
Abstract: AbstractThe aim of the present paper is to investigate the results of Dirichlet average of a new special R-Series, using Riemann-Liouville Fractional derivative. The R-Series can be measured as a Dirichlet average and connected with fractional calculus. Keywords: Dirichlet average, R-series, fractional derivative, Fractional calculus operatorsCite this ArticleMohd. Farman Ali. Fractional Integral and Dirichlet Average of the R-Series. Research & Reviews: Discrete Mathematical Structures. 2017; 4(1): 1–4p.
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 4, Issue 1, 2017 · pp. 1–4 Read article
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Dirichlet Average of Extended Mainardi Function and Fractional Derivative
Abstract: AbstractIn this paper, we establish a relation of Dirichlet average of Extended Mainardi function, using fractional derivative. The fractional calculus deals with integrals and derivatives of arbitrary order. Special roles in the applications of fractional calculus operators are played by the transcendental function of the Mittag-Leffler, generalized M-series function, M-function Generalized Miller-Ross function, Wright’s functions and more generally by the Meijer’s G-functions, Fox’s H-functions and Saxena’s I-function. Mathematics Subject Classification: …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 4, Issue 2, 2017 · pp. 42–45 Read article
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Dirichlet Average of Generalization of K4: Function and Fractional Derivative
Abstract: In this paper Dirichlet average of a new Special function called as generalization of K4 – function, which is recently given by Ahmad Faraj , Tariq Salim , Safaa Sadek, Jamal Ismail has been obtained. This function is an extension of R- function which is introduced by Lorenzo and Hartly (1999). This is the modification of K4 – function given by Kishan Sharma and these functions have recently found essential …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 2, Issue 1, 2015 · pp. 20–23 Read article
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Analysis of the Fraction of Mass Flow Rate on the Performance of Double Flow Solar Air Heater
Abstract: This paper presents a mathematical model of a double flow solar air heater, in which air is flowing simultaneously over and under the absorbing plate. Based on the energy balance equations, the effect of fraction of mass flow rate in the upper or lower flow channel has been investigated analytically. The results show that there is air temperature rise, heat gain and efficiency has the maximum value when the optimal …
Published in Journal of Thermal Engineering and Applications · Vol. 4, Issue 2, 2017 · pp. 18–26 Read article
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Report on the Effects of Mole Fraction, Doping Concentration, Gate Length and Nano-Layer Thickness to Control the Device Engineering in the Nanoelectronic AlGaN/GaN HEMTs at 300 K to Enhance the Reputation of the NIT Arunachal Pradesh
Abstract: In this work, we report total 20748 individual simulation-outputs according to the performed simulation-studies on the Nanoelectronic AlGaN/GaN high electron mobility transistors (HEMTs). This series of simulation work has been performed using the SILVACO-ATLAS software tool. In this work, the drain characteristics is investigated with respect to the Aluminium mole fraction, doping concentration, drain voltage, gate voltage, gate length and thickness of the AlGaN nano-layer. The investigation on the effect …
Published in Nano Trends – A Journal of Nano Technology & Its Applications · Vol. 19, Issue 1, 2017 · pp. 15–47 Read article
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Effects of Drain Voltage, Gate Voltage and Aluminium Mole Fraction on Drain Current in GaN based Single-Heterojunction HEMTs designed with AlGaN Nano-Layers
Abstract: In this work, we have studied the effect of drain voltage on drain current in single-heterojunction AlGaN/GaN high electron mobility transistors (HEMTs). Also, we have studied the effect of gate voltage on drain current in same set of HEMTs. The effect of aluminium mole fraction on drain current is also studied in the HEMTs designed with AlGaN nano-layers. This work may be helpful to realize the characteristics of HEMT based …
Published in Nano Trends – A Journal of Nano Technology & Its Applications · Vol. 22, Issue 1, 2020 · pp. 6–14 Read article
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On the Time Fractional Natural Convection Flow of Incompressible Viscous Fluid Past Vertical Plate
Abstract: Time fractional partial differential equations governing the free convective flow of an incompressible viscous fluid over vertical plate with Newtonian heating and mass diffusion in the presence of first order chemical reaction are derived by using fractional complex transforms. The dimensionless temperature, concentration and velocity field and the rate of heat and mass transfer from the plate to the field are determined using Laplace transform. The similarly solution for ordinary …
Published in Research & Reviews : Journal of Physics · Vol. 8, Issue 2, 2019 · pp. 69–74 Read article