Results 21 to 30 of about 306,804 (149)
Bounds for the Remainder in Simpson’s Inequality via
Journal of Mathematics, 2020 The goal of this paper is to derive some new variants of Simpson’s inequality using the class of n-polynomial convex functions of higher order. To obtain the main results of the paper, we first derive a new generalized fractional integral identity ...
Yu‐Ming Chu +3 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
McSylvester Ejighikeme Omaba
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Some fractional integral inequalities for the Katugampola integral operator
AIMS Mathematics, 2019 In this paper, several new integral inequalities are established by using Katugampola integral operator.
Ravi Shanker Dubey, Pranay Goswami
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Mathematics, 2022 In the last few years, a new class of fractional-order (FO) systems, known as Katugampola FO systems, has been introduced. This class is noteworthy to investigate, as it presents a generalization of the well-known Caputo fractional-order systems. In this
Omar Kahouli +4 more
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AIMS Mathematics, 2021 We use the definition of a fractional integral operators, recently introduced by Katugampola, to establish a parameterized identity associated with differentiable mappings.
Yuping Yu, Hui Lei, Gou Hu, Tingsong Du
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AIMS Mathematics, 2022 In this paper, we present new Lyapunov-type inequalities for Hilfer-Katugampola fractional differential equations. We first give some unique properties of the Hilfer-Katugampola fractional derivative, and then by using these new properties we convert the
Wei Zhang , Jifeng Zhang, Jinbo Ni
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Mathematical Methods in the Applied Sciences, Volume 46, Issue 12, Page 13110-13123, August 2023., 2023 In this a Lyapunov‐type inequality is obtained for the fractional differential equation with Caputo derivative CDaγx(t)+q(t)x(t)=0,a
Satyam Narayan Srivastava +3 more
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Fractional-order boundary value problems with Katugampola fractional integral conditions [PDF]
Advances in Difference Equations, 2018 In this paper, we study existence (uniqueness) of solutions for nonlinear fractional differential equations with Katugampola fractional integral conditions.
Nazım I. Mahmudov, Sedef Emin
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Journal of Function Spaces, Volume 2023, Issue 1, 2023., 2023 This paper derives some equalities via twice differentiable functions and conformable fractional integrals. With the help of the obtained identities, we present new trapezoid‐type and midpoint‐type inequalities via convex functions in the context of the conformable fractional integrals. New inequalities are obtained by taking advantage of the convexity
Hasan Kara +6 more
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Ostrowski type inequalities via the Katugampola fractional integrals
AIMS Mathematics, 2019 The main aim of this study is to reveal new generalized-Ostrowski-type inequalities using Katugampola fractional integral operator which generalizes Riemann-Liouville and Hadamard fractional integral operators into a single form.
Mustafa Gürbüz +2 more
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