Results 11 to 20 of about 306,804 (149)
Integral inequalities for some convex functions via generalized fractional integrals [PDF]
Journal of Inequalities and Applications, 2018 In this paper, we obtain the Hermite–Hadamard type inequalities for s-convex functions and m-convex functions via a generalized fractional integral, known as Katugampola fractional integral, which is the generalization of Riemann–Liouville fractional ...
Naila Mehreen, Matloob Anwar
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Journal of Function Spaces, 2022 In this manuscript, we are getting some novel inequalities for convex functions by a new generalized fractional integral operator setting. Our results are established by merging the k,s-Riemann-Liouville fractional integral operator with the generalized ...
Majid K. Neamah +4 more
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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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Fractional-Order Epidemic Model for Measles Infection. [PDF]
Scientifica (Cairo)In this study, a nonlinear dynamic SEVIQR measles epidemic model is constructed and analyzed using the novel Caputo fractional‐order derivative operator. The model’s existence and uniqueness are established. In addition, the model equilibria are determined, and the novel Jacobian determinant method recently constructed in the literature of ...
Akuka PNA, Seidu B, Okyere E, Abagna S.
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AIMS Mathematics, 2020 We use the definition of a fractional integral operators, proposed by Katugampola, to establish a fractional Hermite-Hadamard’s inequality for p-convex mappings and an identity with two parameters.
Gou Hu, Hui Lei, Tingsong Du
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Hermite-Hadamard Type Inequalities for Quasi-Convex Functions via Katugampola Fractional Integrals
International Journal of Analysis and Applications, 2018 The paper deals with quasi-convex functions, Katugampola fractional integrals and Hermite-Hadamard type integral inequalities. The main idea of this paper is to present new Hermite-Hadamard type inequalities for quasi-convex functions using Katugampola ...
Erhan Set, İlker Mumcu
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An investigation of a new Lyapunov-type inequality for Katugampola–Hilfer fractional BVP with nonlocal and integral boundary conditions [PDF]
Journal of Inequalities and Applications, 2023 In this manuscript, we focus our attention on investigating new Lyapunov-type inequalities (LTIs) for two classes of boundary value problems (BVPs) in the framework of Katugampola–Hilfer fractional derivatives, supplemented by nonlocal, integral, and ...
Sabri T. M. Thabet, Imed Kédim
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Some Grüss-type inequalities using generalized Katugampola fractional integral
AIMS Mathematics, 2020 The main objective of this paper is to obtain a generalization of some Grüss-type inequalities in case of functional bounds by using a generalized Katugampola fractional integral.
Tariq A. Aljaaidi +1 more
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New Integral Inequalities via the Katugampola Fractional Integrals for Functions Whose Second Derivatives Are Strongly η-Convex [PDF]
Mathematics, 2019 In this paper, we introduced some new integral inequalities of the Hermite⁻Hadamard type for functions whose second derivatives in absolute values at certain powers are strongly η -convex functions via the Katugampola fractional integrals.
Seth Kermausuor +2 more
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Results on Katugampola Fractional Derivatives and Integrals
International Journal of Analysis and Applications, 2023 In this paper, we introduce and develop a new definitions for Katugampola derivative and Katugampola integral. In particular, we defined a (left) fractional derivative starting from a of a function f of order α∈(m-1, m] and a (right) fractional ...
Iqbal H. Jebril +4 more
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