Results 11 to 20 of about 604 (151)
Study of Results of Katugampola Fractional Derivative and Chebyshev Inequailities [PDF]
International Journal of Applied and Computational Mathematics, 2022 Nazeer N, Asjad MI, Azam MK, Akgül A.
exaly +2 more sources
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, Ilker Mumcu
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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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HERMITE–HADAMARD TYPE INEQUALITIES FOR KATUGAMPOLA FRACTIONAL INTEGRALS
Journal of Applied Analysis & Computation, 2023 Summary: In the paper, basing on the Katugampola fractional integrals \({}^\rho\mathcal{K}^\alpha_{a+}f\) and \({}^\rho\mathcal{K}^\alpha_{b-}f\) with \(f\in\mathfrak{X}_c^p(a, b) \), the authors establish the Hermite-Hadamard type inequalities for convex functions, give their left estimates, and apply these newly-established inequalities to special ...
Wang, Shu-Hong, Hai, Xu-Ran
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On weighted fractional inequalities using generalized Katugampola fractional integral operator [PDF]
Fractional Differential Calculus, 2020 Summary: In this paper, we obtain some new weighted fractional inequalities which are presented by \textit{M. Houas} in the paper [Sci., Ser. A, Math. Sci. (N.S.) 27, 87--97 (2016; Zbl 1429.26028)], using generalized Katugampola fractional integral operator.
Panchal, Satish K. +2 more
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On the nonlocal Katugampola fractional integral conditions for fractional Langevin equation [PDF]
Advances in Difference Equations, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Thaiprayoon, Chatthai +2 more
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Katugampola Fractional Differential Equation with Erdelyi-Kober Integral Boundary Conditions
Advances in the Theory of Nonlinear Analysis and its Application, 2021 In this paper, we study the existence and uniqueness of solutions for nonlinear fractional Katugampola differential equation with Erdely-Kober fractional integral conditions, new existence and uniqueness results are established using Banach's contraction principle, nonlinear contractions, Krasnoselskii's and Leray-Schauder's fixed theorems.
Naas ADJİMİ, Maamar BENBACHIR
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Fractal and Fractional, 2019 The main objective of this paper is to obtain the Hermite−Hadamard-type inequalities for exponentially s-convex functions via the Katugampola fractional integral.
Saima Rashid +3 more
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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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