Certain Inequalities Pertaining to Some New Generalized Fractional Integral Operators [PDF]
Fractal and Fractional, 2021 In this paper, we introduce the generalized left-side and right-side fractional integral operators with a certain modified ML kernel. We investigate the Chebyshev inequality via this general family of fractional integral operators.
Hari Mohan Srivastava +3 more
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New Inequalities Using Multiple Erdélyi–Kober Fractional Integral Operators [PDF]
Fractal and FractionalThe role of fractional integral inequalities is vital in fractional calculus to develop new models and techniques in the most trending sciences. Taking motivation from this fact, we use multiple Erdélyi–Kober (M-E-K) fractional integral operators to ...
Asifa Tassaddiq +4 more
doaj +2 more sources
Tempered Fractional Integral Inequalities for Convex Functions
Mathematics, 2020 Certain new inequalities for convex functions by utilizing the tempered fractional integral are established in this paper. We also established some new results by employing the connections between the tempered fractional integral with the (R-L ...
Gauhar Rahman +2 more
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New applications of the new general integral transform method with different fractional derivatives
Alexandria Engineering Journal, 2023 Integral transforms are a versatile mathematical technique that can be applied in a wide range of science and engineering fields. We consider the general integral transform with the Caputo derivative and Constant Proportional Caputo derivative in this ...
Ali Akgül +4 more
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The Study of Fractional Quadratic Integral Equations Involves General Fractional Integrals
Fractal and FractionalThis paper investigates the well-posedness of analytical solutions to fractional quadratic differential equations, which involve generalized fractional integrals with respect to other functions.
Mi Zhou +3 more
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Fractional transformations of generalised functions [PDF]
, 2009 A distributional theory of fractional transformations is developed. A constructive approach, based on the eigenfunction expansion method pioneered by A. H.
Lamb, Wilson +2 more
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Fractional generalization of Kac integral [PDF]
Communications in Nonlinear Science and Numerical Simulation, 2008 Generalization of the Kac integral and Kac method for paths measure based on the Levy distribution has been used to derive fractional diffusion equation. Application to nonlinear fractional Ginzburg-Landau equation is discussed.
Tarasov, Vasily E., Zaslavsky, George M.
openaire +2 more sources
Perbandingan Torka Cogging Generator Integral dan Fractional untuk Pembangkit Listrik Tenaga Tenaga Angin [PDF]
, 2023 ABSTRAKPenelitian ini membahas penurunan torka cogging pada generator sinkron magnet permanen untuk untuk aplikasi pada pembangkit listrik tenaga angin.
HUTAPEA, DUMA KRISTINA YANTI +11 more
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Generalizations of some Integral Inequalities for Fractional Integrals [PDF]
Annales Mathematicae Silesianae, 2018 Abstract In this paper we give generalizations of the Hadamard-type inequalities for fractional integrals. As special cases we derive several Hadamard type inequalities.
Farid Ghulam, ur Rehman Atiq
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Fractional calculus of periodic distributions [PDF]
, 2011 Two approaches for defining fractional derivatives of periodic distributions are presented. The first is a distributional version of the Weyl fractional derivative in which a derivative of arbitrary order of a periodic distribution is defined via Fourier
Lamb, Wilson +2 more
core +3 more sources