Box Dimension of Mixed Katugampola Fractional Integral of Two-Dimensional Continuous Functions [PDF]
Fractional Calculus and Applied Analysis, 2021 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[
Subhash Chandra, Syed Abbas
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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, Ilker Mumcu
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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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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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Chebyshev type inequalities involving generalized Katugampola fractional integral operators
Tamkang Journal of Mathematics, 2019 A number of Chebyshev type inequalities involving various fractional integral operators have, recently, been presented.Here, motivated essentially by the earlier works and their applications in diverse research subjects, we aim to establish several Chebyshev type inequalities involving generalized Katugampola fractional integral operator.
Erhan Set, Junesang Choi, İlker Mumcu
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Ostrowski type inequalities via the Katugampola fractional integrals
AIMS Mathematics, 2020 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.
Yakup Taşdan, Erhan Set
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On Inequalities for S-Convex Function Based on Katugampola Fractional Integral
Journal of Physics: Conference Series, 2020 Abstract The subject of integral inequalities has been considered and studied by many mathematical scholars. Based on Katugampola fractional integrals in this article, authors discuss s-function and obtain some inequalities.
Ying Wu
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Simpson type Katugampola fractional integral inequalities via Harmonic convex functions
Malaya Journal of Matematik, 2022 Zeynep Şanlı
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Ostrowski-type fractional integral inequalities for mappings whose derivatives are h-convex via Katugampola fractional integrals [PDF]
Studia Universitatis Babes-Bolyai Matematica, 2018 In this paper we generalize some Riemann-Liouville fractional integral inequalities of Ostrowski type for h-convex functions via Katugampola fractional integrals, generalization of Riemann- Liouville and the Hadamard fractional integrals. Also we deduce some known results by using p-functions, convex functions and s-convex functions.
Ghulam Farid +3 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 Adjimi, Maamar Benbachir
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