Results 41 to 50 of about 19,938 (283)
LR-Preinvex Interval-Valued Functions and Riemann–Liouville Fractional Integral Inequalities
Fractal and Fractional, 2021 Convexity is crucial in obtaining many forms of inequalities. As a result, there is a significant link between convexity and integral inequality.
Muhammad Bilal Khan +5 more
semanticscholar +1 more source
Levi-Civita cylinders with fractional angular deficit [PDF]
, 2011 The angular deficit factor in the Levi-Civita vacuum metric has been parametrized using a Riemann-Liouville fractional integral. This introduces a new parameter into the general relativistic cylinder description, the fractional index {\alpha}.
Bicak J. +10 more
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The Hermite–Hadamard–Jensen–Mercer Type Inequalities for Riemann–Liouville Fractional Integral
, 2021 In this paper, we give Hermite–Hadamard type inequalities of the Jensen–Mercer type for Riemann–Liouville fractional integrals. We prove integral identities, and with the help of these identities and some other eminent inequalities, such as Jensen ...
Huan Wang +4 more
semanticscholar +1 more source
Unified treatment of fractional integral inequalities via linear functionals [PDF]
, 2016 In the paper we prove several inequalities involving two isotonic linear functionals. We consider inequalities for functions with variable bounds, for Lipschitz and H\" older type functions etc.
Bombardelli, Mea +2 more
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Integral-Type Fractional Equations with a Proportional Riemann–Liouville Derivative [PDF]
Journal of Mathematics, 2021 In this paper, we present the necessary conditions where integral-type fractional equations with a proportional Riemann–Liouville derivative have a unique solution. Also, we give an example to illustrate our work.
openaire +2 more sources
A new approach on fractional calculus and probability density function
AIMS Mathematics, 2020 In statistical analysis, oftentimes a probability density function is used to describe the relationship between certain unknown parameters and measurements taken to learn about them.
Shu-Bo Chen +4 more
doaj +1 more source
Fractal and Fractional, 2022 At present many researchers devote themselves to studying the relationship between continuous fractal functions and their fractional integral. But little attention is paid to the relationship between Mellin transform and fractional integral.
Zhibiao Zhou, Wei Xiao, Yongshun Liang
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Weighted Hermite–Hadamard integral inequalities for general convex functions
Mathematical Biosciences and Engineering, 2023 In this article, starting with an equation for weighted integrals, we obtained several extensions of the well-known Hermite–Hadamard inequality. We used generalized weighted integral operators, which contain the Riemann–Liouville and the $ k $-Riemann ...
Péter Kórus +2 more
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Solution of Singular Integral Equations via Riemann–Liouville Fractional Integrals [PDF]
Mathematical Problems in Engineering, 2020 In this attempt, we introduce a new technique to solve main generalized Abel’s integral equations and generalized weakly singular Volterra integral equations analytically. This technique is based on the Adomian decomposition method, Laplace transform method, andΨ-Riemann–Liouville fractional integrals.
Manar A. Alqudah +4 more
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AIMS Mathematics, 2023 In this paper, we establish an integral identity involving differentiable functions and generalized fractional integrals. Then, using the newly established identity, we prove some new general versions of Bullen and trapezoidal type inequalities for ...
Hüseyin Budak +5 more
doaj +1 more source