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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Ostrowski type inequalities via the Katugampola fractional integrals
AIMS Mathematics, 2020 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gurbuz, Mustafa +2 more
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Box dimension of mixed Katugampola fractional integral of two-dimensional continuous functions
Fractional Calculus and Applied Analysis, 2022 The goal of this article is to study the box dimension of the mixed Katugampola fractional integral of two-dimensional continuous functions on [0; 1]X[0; 1]. We prove that the box dimension of the mixed Katugampola fractional integral having fractional order ( = ( _1; _2); _1 > 0; _2 > 0) of two-dimensional continuous functions on [0; 1]X[
Chandra, Subhash, Abbas, Syed
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Study of Results of Katugampola Fractional Derivative and Chebyshev Inequailities. [PDF]
Int J Appl Comput Math, 2022 Nazeer N, Asjad MI, Azam MK, Akgül A.
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Katugampola Fractional Integral and Fractal Dimension of Bivariate Functions [PDF]
Results in Mathematics, 2021 19 pages, 2 figures. This work is a part of the Ph.D. thesis of the first author submitted to IIT Delhi. The thesis is defended successfully in October 2020.
S. Verma, P. Viswanathan
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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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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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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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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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