Results 31 to 40 of about 238,666 (228)
Repeated Integration and Explicit Formula for the $n$-th Integral of $x^m (\ln x)^{m'}$ [PDF]
Open Journal of Mathematical Sciences, Vol. 6 (2022), Issue 1, pp.
51-75, 2021 Repeated integration is a major topic of integral calculus. In this article, we study repeated integration. In particular, we study repeated integrals and recurrent integrals. For each of these integrals, we develop reduction formulae for both the definite as well as indefinite form.
arxiv +1 more source
SIFAT-SIFAT INTEGRAL RIEMANN-STIELTJES
Barekeng Jurnal Ilmu Matematika Dan Terapan, 2007 Francis Yunito Rumlawang +1 more
exaly +3 more sources
On a System of Sequential Caputo Fractional Differential Equations with Nonlocal Boundary Conditions
Fractal and Fractional, 2023 We obtain existence and uniqueness results for the solutions of a system of Caputo fractional differential equations which contain sequential derivatives, integral terms, and two positive parameters, supplemented with general coupled Riemann–Stieltjes ...
Alexandru Tudorache, Rodica Luca
doaj +1 more source
Aspects of the screw function corresponding to the Riemann zeta‐function
Journal of the London Mathematical Society, Volume 108, Issue 4, Page 1448-1487, October 2023., 2023 Abstract We introduce a screw function corresponding to the Riemann zeta‐function and study its properties from various aspects. Typical results are several equivalent conditions for the Riemann hypothesis in terms of the screw function. One of them can be considered an analog of so‐called Weil's positivity or Li's criterion.
Masatoshi Suzuki
wiley +1 more source
Some statistical challenges in automated driving systems
Applied Stochastic Models in Business and Industry, Volume 39, Issue 5, Page 629-652, September/October 2023., 2023 AbstractAutomated driving systems are rapidly developing. However, numerous open problems remain to be resolved to ensure this technology progresses before its widespread adoption. A large subset of these problems are, or can be framed as, statistical decision problems.
William N. Caballero +2 more
wiley +1 more source
A sharp companion of Ostrowski's inequality for the Riemann-Stieltjes integral and applications
Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2016 A sharp companion of Ostrowski's inequality for the Riemann-Stieltjes integral ∫ab f(t)du(t), where f is assumed to be of r-H-Hölder type on [a,b] and u is of bounded variation on [a,b], is proved.
Mohammad W. Alomari
doaj +1 more source
Mathematical Methods in the Applied Sciences, Volume 46, Issue 11, Page 12018-12034, 30 July 2023., 2023 In this paper, we investigate the existence of at least one solution to the following higher order Riemann–Liouville fractional differential equation with Riemann–Stieltjes integral boundary condition at resonance: −(D0+αx)(t)=f(t,x(t),D0+α−1x(t)),n−1<α≤n,t∈[0,1],x(0)=x′(0)=…=x(n−2)(0)=0,x(k)(1)=∫01x(k)(t)dA(t),$$ {\displaystyle \begin{array}{cc}\hfill
Alexander Domoshnitsky +2 more
wiley +1 more source
On a Nonlocal Boundary Value Problem of a State-Dependent Differential Equation
Mathematics, 2021 In this paper, the existence of absolutely continuous solutions and some properties will be studied for a nonlocal boundary value problem of a state-dependent differential equation. The infinite-point boundary condition and the Riemann–Stieltjes integral
Ahmed El-Sayed +2 more
doaj +1 more source
Fractal and Fractional, 2023 The Caputo fractional α-derivative ...
Gopalakrishnan Karnan, C. Yen
semanticscholar +1 more source
Abstract and Applied Analysis, 2013 We study the existence and uniqueness of the positive solution for the fractional differential system involving the Riemann-Stieltjes integral boundary conditions , , , , , and , where , , and and are the standard Riemann-Liouville derivatives, and ...
Rui Li, Haoqian Zhang, Hao Tao
doaj +1 more source