Results 21 to 30 of about 19,938 (283)
International Journal of Computational Intelligence Systems, 2021 It is well known that the concept of convexity establishes strong relationship with integral inequality for single-valued and interval-valued function.
Sana Gul +4 more
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Sandwich-type results regarding Riemann-Liouville fractional integral of q-hypergeometric function
Demonstratio Mathematica, 2023 The study presented in this article involves q-calculus connected to fractional calculus applied in the univalent functions theory. Riemann-Liouville fractional integral of q-hypergeometric function is defined here, and investigations are conducted using
A. Alb Lupaș, G. Oros
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AIMS Mathematics, 2021 In the present note, we develop Hermite-Hadamard type inequality and He's inequality for exponential type convex fuzzy interval-valued functions via fuzzy Riemann-Liouville fractional integral and fuzzy He's fractional integral.
Yanping Yang +3 more
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Mathematics, 2022 The concepts of convex and non-convex functions play a key role in the study of optimization. So, with the help of these ideas, some inequalities can also be established. Moreover, the principles of convexity and symmetry are inextricably linked.
Muhammad Bilal Khan +4 more
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On a Generic Fractional Derivative Associated with the Riemann–Liouville Fractional Integral
AxiomsIn this paper, a generic fractional derivative is defined as a set of the linear operators left-inverse to the Riemann–Liouville fractional integral. Then, the theory of the left-invertible operators developed by Przeworska-Rolewicz is applied to deduce its properties.
Yuri Luchko
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A Comprehensive Review on the Fejér-Type Inequality Pertaining to Fractional Integral Operators
Axioms, 2023 A review of the results on the fractional Fejér-type inequalities, associated with different families of convexities and different kinds of fractional integrals, is presented.
Muhammad Tariq +2 more
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AIMS Mathematics, 2021 In this paper Hadamard type inequalities for strongly (α,m)-convex functions via generalized Riemann-Liouville fractional integrals are studied. These inequalities provide generalizations as well as refinements of several well known inequalities.
Ghulam Farid +3 more
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The Riemann-Liouville fractional integral in Bochner-Lebesgue spaces I
Communications on Pure and Applied Analysis, 2022 <p style='text-indent:20px;'>In this paper we study the Riemann-Liouville fractional integral of order <inline-formula><tex-math id="M1">\begin{document}$ \alpha>0 $\end{document}</tex-math></inline-formula> as a linear operator from <inline-formula><tex-math id="M2">\begin{document}$ L^p(I,X) $\end ...
Paulo M. Carvalho-Neto +1 more
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AIMS Mathematics, 2022 The development of certain aspects of geometric function theory after incorporating fractional calculus and $ q $-calculus aspects is obvious and indisputable. The study presented in this paper follows this line of research.
A. Lupaș, G. Oros
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Hermite-Jensen-Mercer type inequalities via Ψ-Riemann-Liouville k-fractional integrals
AIMS Mathematics, 2020 Integral inequalities involving various fractional integral operators are used to solve many fractional differential equations. In this paper, authors prove some Hermite-Jensen-Mercer type inequalities using Ψ-Riemann-Liouville k-Fractional integrals via
Saad Ihsan Butt +4 more
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