Integral inequalities via Raina’s fractional integrals operator with respect to a monotone function
Advances in Difference Equations, 2020 We establish certain new fractional integral inequalities involving the Raina function for monotonicity of functions that are used with some traditional and forthright inequalities.
Shu-Bo Chen +5 more
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Integral Inequalities for s-Convexity via Generalized Fractional Integrals on Fractal Sets
Mathematics, 2020 In this study, we establish new integral inequalities of the Hermite−Hadamard type for s-convexity via the Katugampola fractional integral. This generalizes the Hadamard fractional integrals and Riemann−Liouville into a single form.
Ohud Almutairi, Adem Kılıçman
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Axiomatic Local Metric Derivatives for Low-Level Fractionality with Mittag-Leffler Eigenfunctions [PDF]
, 2017 In this contribution, we build up an axiomatic local metric derivative that exhibits the Mittag-Leffler as an eigenfunction and is valid for low-level fractionality, whenever the order parameter is close to $1$.
Helayël-Neto, J. A., Weberszpil, J.
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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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On Certain Ostrowski Type Integral Inequalities Involving Atangana-Baleanu Katugampola Fractional Integral Operator for Convex Function with Applications [PDF]
Sahand Communications in Mathematical AnalysisIn this paper, new generalized variants of Ostrowski’s type identities involving the Atangana-Baleanu-Katugampola fractional integral operator for differentiable convex and twice differentiable convex functions are presented.
Artion Kashuri +2 more
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مجلة بغداد للعلوم, 2023 The necessary optimality conditions with Lagrange multipliers are studied and derived for a new class that includes the system of Caputo–Katugampola fractional derivatives to the optimal control problems with considering the end time free.
Moataz Abbas Holel , Sameer Qasim Hasan
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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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Desigualdades del tipo Minkowski y Hölder con una nueva integral fraccionariaa generalizada [PDF]
, 2021 The present study is concerning about some inequalities of Minkoveski and Hölder type using a new generalized fractional integral operator of Raina's type. Using the Raina generalized function model, $ \mathcal{F}_{\rho,\lambda}^{\sigma} $, which involve
Hernández Hernández, Jorge Eliecer +1 more
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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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