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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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SOME PROPERTIES OF k-RIEMANN-LIOUVILLE FRACTIONAL INTEGRAL OPERATOR
JOURNAL OF RAMANUJAN SOCIETY OF MATHEMATICS AND MATHEMATICAL SCIENCES, 2023 In this paper we will introduce some properties of k- Riemann Liouville fractional integral operator involving convolution property. The fractional derivative of k- Riemann Liouville fractional integral operator of integral transforms will be obtained. Applications of this operator will be introduced.
Prajapat, Radhe Shyam, Bapna, Indu Bala
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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
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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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Fractional Sturm-Liouville eigenvalue problems, II [PDF]
, 2017 We continue the study of a non self-adjoint fractional three-term Sturm-Liouville boundary value problem (with a potential term) formed by the composition of a left Caputo and left-Riemann-Liouville fractional integral under {\it Dirichlet type} boundary
Dehghan, Mohammad, Mingarelli, Angelo B.
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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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Existence of positive solutions for a system of semipositone fractional boundary value problems [PDF]
, 2016 We investigate the existence of positive solutions for a system of nonlinear Riemann-Liouville fractional differential equations with sign-changing nonlinearities, subject to coupled integral boundary ...
Henderson, Johnny, Luca, Rodica
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Essay on Fractional Riemann-Liouville Integral Operator versus Mikusinski’s [PDF]
Mathematical Problems in Engineering, 2013 This paper presents the representation of the fractional Riemann-Liouville integral by using the Mikusinski operators. The Mikusinski operators discussed in the paper may yet provide a new view to describe and study the fractional Riemann-Liouville integral operator.
Li, Ming, Zhao, Wei
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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
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Journal of Function Spaces, 2019 A new identity involving Riemann-Liouville fractional integral is proposed. The result is then used to obtain some estimates of upper bound for a function associated with Riemann-Liouville fractional integral via h-convex functions.
Shan-He Wu, Muhammad Uzair Awan
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