Results 41 to 50 of about 6,967 (160)

Riemann-Liouville fractional cosine functions

Electronic Journal of Differential Equations, 2016
In this article, we present the notion of Riemann-Liouville fractional cosine function. we prove that a Riemann-Liouville alpha-order fractional cosine function is equivalent to the Riemann-Liouville alpha-order fractional resolvent introduced in [15]
Zhan-Dong Mei, Ji-Gen Peng
doaj  

$\alpha$-Differentiable functions in complex plane

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2020
In this paper, the conformable fractional derivative of order $\alpha$ is defined in complex plane. Regarding to multi-valued function $z^{1-\alpha}$, we obtain fractional Cauchy–Riemann equations which in case of $\alpha=1$ give classical Cauchy ...
Ronak Pashaei, Amir Pishkoo, Mohammad Sadegh Asgari, Davood Ebrahimi Bagha   +3 more
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Inequalities Pertaining Fractional Approach through Exponentially Convex Functions

Fractal and Fractional, 2019
In this article, certain Hermite-Hadamard-type inequalities are proven for an exponentially-convex function via Riemann-Liouville fractional integrals that generalize Hermite-Hadamard-type inequalities.
Saima Rashid, Muhammad Aslam Noor, Khalida Inayat Noor   +2 more
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A Note on the Riemann $ξ$-Function

, 2019
new section ...
openaire   +2 more sources

A kind of identities related to Riemann zeta-function

Open Mathematics
The main purpose of this paper is to study a kind of identities related to Riemann zeta-function. We first construct a new sequence involving trigonometric function.
Chen Zhuoyu, Deng Changlin
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The Extension of the Riemann’s Zeta Function

International Journal of Basic Sciences and Applied Computing
In mathematics, the search for exact formulas giving all the prime numbers, certain families of prime numbers or the n-th prime number has generally proved to be vain, which has led to contenting oneself with approximate formulas [8]. The purpose of this article is to give a new proof of the Riemann hypothesis [4]-which is closely related to the ...
openaire   +2 more sources

Nonclassical shock waves of conservation laws: Flux function having two inflection points

Electronic Journal of Differential Equations, 2006
We consider the Riemann problem for non-genuinely nonlinear conservation laws where the flux function admits two inflection points. This is a simplification of van der Waals fluid pressure, which can be seen as a function of the specific volume for a ...
Ho Dac Nghia, Mai Duc Thanh
doaj  

Discrete universality theorem for Matsumoto zeta-functions and nontrivial zeros of the Riemann zeta-function

Mathematical Modelling and Analysis
In 2017, Garunkštis, Laurinčikas and Macaitienė proved the discrete universality theorem for the Riemann zeta-function shifted by imaginary parts of nontrivial zeros of the Riemann zeta-function.
Keita Nakai
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Solving the solution of Goursat problem using the Riemann method for a system of fourth order hyperbolic differential equations

Вестник Самарского университета: Естественнонаучная серия
Boundary value problems for certain systems of hyperbolic-type differential equations can be effectively solved using the Riemann method. In this paper, we consider an approach for constructing the Riemann matrix for a system of fourth order hyperbolic ...
Ju. O. Yakovleva
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Stieltjes–Bethe equations in higher genus and branched coverings with even ramifications

Nuclear Physics B, 2018
We describe projective structures on a Riemann surface corresponding to monodromy groups which have trivial SL(2) monodromies around singularities and trivial PSL(2) monodromies along homologically non-trivial loops on a Riemann surface.
Dmitry Korotkin
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