Results 21 to 30 of about 6,726 (311)
Some New Generalized Fractional Newton’s Type Inequalities for Convex Functions
Journal of Function Spaces, 2022 In this paper, we establish some new Newton’s type inequalities for differentiable convex functions using the generalized Riemann-Liouville fractional integrals. The main edge of the newly established inequalities is that these can be turned into several
Jarunee Soontharanon +5 more
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Fractional integration toolbox [PDF]
Fractional Calculus and Applied Analysis, 2013 The problems formulated in the fractional calculus framework often require numerical fractional integration/differentiation of large data sets. Several existing fractional control toolboxes are capable of performing fractional calculus operations, however, none of them can efficiently perform numerical integration on multiple large data sequences.
Marinov, Toma +2 more
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New general Grüss-type inequalities over σ-finite measure space with applications
Advances in Difference Equations, 2020 In this paper, we establish some new integral inequalities involving general kernels. We obtain the related broad range of fractional integral inequalities.
Sajid Iqbal +5 more
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Noncommutative fractional integrals [PDF]
Studia Mathematica, 2016 Let $\M$ be a hyperfinite finite von Nemann algebra and $(\M_k)_{k\geq 1}$ be an increasing filtration of finite dimensional von Neumann subalgebras of $\M$. We investigate abstract fractional integrals associated to the filtration $(\M_k)_{k\geq 1}$. For a finite noncommutative martingale $x=(x_k)_{1\leq k\leq n} \subseteq L_1(\M)$ adapted to $(\M_k)_{
Randrianantoanina, Narcisse, Wu, Lian
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Katugampola Fractional Calculus With Generalized k−Wright Function
European Journal of Mathematical Analysis, 2021 In this article, we present some properties of the Katugampola fractional integrals and derivatives. Also, we study the fractional calculus properties involving Katugampola Fractional integrals and derivatives of generalized k−Wright function nΦkm(z).
Ahmad Y. A. Salamooni, D. D. Pawar
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Further Midpoint Inequalities via Generalized Fractional Operators in Riemann–Liouville Sense
Fractal and Fractional, 2022 In this study, new midpoint-type inequalities are given through recently generalized Riemann–Liouville fractional integrals. Foremost, we present an identity for a class of differentiable functions including the proposed fractional integrals.
Abd-Allah Hyder +2 more
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Research on Two Types of Fractional Integrals
, 2022 : In this paper, based on Jumarie type of Riemann-Liouville (R-L) fractional calculus, we solve two types of fractional integrals. Complex power of fractional analytic function, product rule for fractional derivatives and a new multiplication of ...
Chii-Huei Yu
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Using Interval Recurrence Formula to Solve Two Improper Fractional Integrals
, 2023 : In this paper, based on Jumarie type of Riemann-Liouville (R-L) fractional calculus and a new multiplication of fractional analytic functions, we use interval recurrence formula to solve two improper fractional integrals.
Chii-Huei Yu
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Advances in Difference Equations, 2020 In this research article, we establish some Hermite–Hadamard type inequalities for tgs $tgs$-convex functions via Katugampola fractional integrals and ψ-Riemann–Liouville fractional integrals.
Naila Mehreen, Matloob Anwar
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Some Fractional Integral Inequalities by Way of Raina Fractional Integrals
Symmetry, 2023 In this research, some novel Hermite–Hadamard–Fejér-type inequalities using Raina fractional integrals for the class of ϑ-convex functions are obtained. These inequalities are more comprehensive and inclusive than the corresponding ones present in the literature.
Miguel J. Vivas-Cortez +2 more
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