Results 31 to 40 of about 463 (144)
Journal of Mathematics, 2020 In this present article, we establish certain new Pólya–Szegö-type tempered fractional integral inequalities by considering the generalized tempered fractional integral concerning another function Ψ in the kernel. We then prove certain new Chebyshev-type
Gauhar Rahman +3 more
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Some Gruss-type Inequalities Using Generalized Katugampola Fractional Integral
AIMS Mathematics, 2019 The main objective of this paper is to obtain generalization of some Gruss-type inequalities in case of functional bounds by using a generalized Katugampola fractional integral.
Tariq A. Aljaaidi, Deepak B. Pachpatte
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Fractal and Fractional, 2022 In this paper, we investigate the existence and Hyers–Ulam stability of a coupled differential equations of fractional-order with multi-point (discrete) and integral boundary conditions that are related to Katugampola integrals.
Muthaiah Subramanian, Shorog Aljoudi
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Expansion formulas in terms of integer-order derivatives for the Hadamard fractional integral and derivative [PDF]
, 2011 We obtain series expansion formulas for the Hadamard fractional integral and fractional derivative of a smooth function. When considering finite sums only, an upper bound for the error is given.
Almeida, R. +2 more
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HERMITE-HADAMARD TYPE INEQUALITIES FOR P-CONVEX FUNCTIONS VIA KATUGAMPOLA FRACTIONAL INTEGRALS [PDF]
Facta Universitatis, Series: Mathematics and Informatics, 2019 In this paper, firstly the authors establish Hermite-Hadamard inequality for p-convex functions via Katugampola fractional integrals. Then a new identity involving Katugampola fractional integrals is proved. By using this identity, some new Hermite-Hadamard type inequalities for classes of p-convex functions are obtained.
Toplu, Tekin +3 more
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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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Analysis of implicit type of a generalized fractional differential equations with nonlinear integral boundary conditions [PDF]
, 2020 The given paper describes the implicit fractional differential equation with nonlinear integral boundary conditions in the frame of Caputo-Katugampola fractional derivative.
Redhwan, Saleh, Shaikh, Sadikali
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Integral Inequalities Using Generalized Convexity Property Pertaining to Fractional Integrals and Their Applications [PDF]
Sahand Communications in Mathematical AnalysisIn this study, we established the Hermite-Hadamard type, Simpson type, Ostrowski type and midpoint type integral inequalities for the s-convex functions in the second sense via Katugampola fractional integrals.
Muhammad Talha +2 more
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Advances in Difference Equations, 2021 In this paper we establish some new results on trapezium type inequalities of coordinated distance-disturbed ( ℓ 1 , h 1 ) $(\ell _{1},h_{1})$ – ( ℓ 2 , h 2 ) $(\ell _{2},h_{2})$ -convex functions of higher orders ( σ 1 , σ 2 ) $(\sigma _{1},\sigma _{2})$
Artion Kashuri +4 more
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Ostrowski-Type Fractional Integral Inequalities: A Survey
Foundations, 2023 This paper presents an extensive review of some recent results on fractional Ostrowski-type inequalities associated with a variety of convexities and different kinds of fractional integrals.
Muhammad Tariq +2 more
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