Results 11 to 20 of about 13,688 (264)
Generalizations of some Integral Inequalities for Fractional Integrals [PDF]
Annales Mathematicae Silesianae, 2018 Abstract In this paper we give generalizations of the Hadamard-type inequalities for fractional integrals. As special cases we derive several Hadamard type inequalities.
Farid Ghulam, ur Rehman Atiq
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Fractional integral inequalities involving Marichev–Saigo–Maeda fractional integral operator
Journal of Inequalities and Applications, 2020 The aim of this present investigation is establishing Minkowski fractional integral inequalities and certain other fractional integral inequalities by employing the Marichev–Saigo–Maeda (MSM) fractional integral operator.
Asifa Tassaddiq +5 more
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Generalized proportional fractional integral functional bounds in Minkowski’s inequalities
Advances in Difference Equations, 2021 In this research paper, we improve some fractional integral inequalities of Minkowski-type. Precisely, we use a proportional fractional integral operator with respect to another strictly increasing continuous function ψ.
Tariq A. Aljaaidi +4 more
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Haar wavelet fractional derivative [PDF]
Proceedings of the Estonian Academy of Sciences, 2022 In this paper, the fundamental properties of fractional calculus are discussed with the aim of extending the definition of fractional operators by using wavelets.
Carlo Cattani
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Journal of Algorithms & Computational Technology, 2023 For scientists conducting research, fractional integral differential equation analysis is crucial. Therefore, in this study, we investigate analysis utilizing a novel method called the fractional decomposition method, which is applicable to fractional ...
Mahmoud S Rawashdeh +2 more
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Certain Inequalities Pertaining to Some New Generalized Fractional Integral Operators
Fractal and Fractional, 2021 In this paper, we introduce the generalized left-side and right-side fractional integral operators with a certain modified ML kernel. We investigate the Chebyshev inequality via this general family of fractional integral operators.
Hari Mohan Srivastava +3 more
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On positive solutions of a system of equations generated by Hadamard fractional operators
Advances in Difference Equations, 2020 This paper is devoted to studying some systems of quadratic differential and integral equations with Hadamard-type fractional order integral operators.
Amira M. Abdalla +2 more
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General Non-Local Continuum Mechanics: Derivation of Balance Equations
Mathematics, 2022 In this paper, mechanics of continuum with general form of nonlocality in space and time is considered. Some basic concepts of nonlocal continuum mechanics are discussed. General fractional calculus (GFC) and general fractional vector calculus (GFVC) are
Vasily E. Tarasov
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New generalized Pólya–Szegö and Čebyšev type inequalities with general kernel and measure
Advances in Difference Equations, 2020 It is always attractive and motivating to acquire the generalizations of known results. In this article, we introduce a new class C ( h ) $\mathfrak{C(h)}$ of functions which can be represented in a form of integral transforms involving general kernel ...
S. Iqbal +5 more
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General Fractional Calculus Operators of Distributed Order
Axioms, 2023 In this paper, two types of general fractional derivatives of distributed order and a corresponding fractional integral of distributed type are defined, and their basic properties are investigated.
Mohammed Al-Refai, Yuri Luchko
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