Results 1 to 10 of about 291,483 (125)
On Katugampola Fractional Multiplicative Hermite-Hadamard-Type Inequalities
MathematicsThis paper presents a novel framework for Katugampola fractional multiplicative integrals, advancing recent breakthroughs in fractional calculus through a synergistic integration of multiplicative analysis. Motivated by the growing interest in fractional
Badreddine Meftah +2 more
exaly +4 more sources
On the generalization of Hermite-Hadamard type inequalities for E`-convex function via fractional integrals [PDF]
HeliyonThe main motivation in this article is to prove new integral identities and related results. In this paper, we deal with E`-convex function, Hermite-Hadamard type inequalities, and Katugampola fractional integrals.
Muhammad Sadaqat Talha +5 more
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Journal of Function SpacesIn this article, new estimations of the integral form of the midpoint formula are derived for p-convex functions via Katugampola fractional integrals.
Muhammad Latif +4 more
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New adaptive memory stochastic fractional operators and their applications in computational intelligence [PDF]
Scientific ReportsThis paper introduces a new family of adaptive memory fractional integral and derivative operators designed for second-order stochastic processes in the mean-square (m.s.) sense.
Tahir Ullah Khan +2 more
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Journal of Applied MathematicsIn this paper, we give an identity for the function which is twice differentiable. Through the applications of this identity and Atangana–Baleanu–Katugampola (ABK) fractional integrals, several fractional Milne-type inequalities are derived for functions
Muhammad Bilal Ahmed +3 more
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Study of Results of Katugampola Fractional Derivative and Chebyshev Inequailities [PDF]
International Journal of Applied and Computational Mathematics, 2022 Ali Akgül, Muhammad Imran Asjad
exaly +2 more sources
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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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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On the weighted fractional integral inequalities for Chebyshev functionals
Advances in Difference Equations, 2021 The goal of this present paper is to study some new inequalities for a class of differentiable functions connected with Chebyshev’s functionals by utilizing a fractional generalized weighted fractional integral involving another function G $\mathcal{G ...
Gauhar Rahman +4 more
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Karpatsʹkì Matematičnì Publìkacìï, 2022 A new generalization of the Katugampola generalized fractional integrals in terms of the Mittag-Leffler functions is proposed. Consequently, new generalizations of the Hermite-Hadamard inequalities by this newly proposed fractional integral operator, for
M. Omaba
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