Results 11 to 20 of about 7,475 (192)
RIEMANN-STIELTJES INTEGRABILITY OF FINITE DISCONTINUOUS FUNCTIONS ON TIME SCALES [PDF]
, 2023 We establish the equivalence of the Riemann-Stieltjes $\Delta$-integral as defined in \cite{Delfim1, Delfim2} in terms of the Darboux sum definition and the Riemann sum definition, and provide the definition of the Riemann-Stieltjes $\nabla$-integral in ...
Bharali, Hemen +2 more
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A New Class of ψ-Caputo Fractional Differential Equations and Inclusion
Journal of Mathematics, 2021 In the present research work, we investigate the existence of a solution for new boundary value problems involving fractional differential equations with ψ-Caputo fractional derivative supplemented with nonlocal multipoint, Riemann–Stieltjes integral and
Wafa Shammakh +2 more
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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
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The Perturbed Median Principle for Integral Inequalities with Applications [PDF]
, 2009 In this paper a perturbed version of the Median Principle introduced by the author in 'The median principle for inequalities and applications' is developed.
Dragomir, Sever S
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Riemann-Stieltjes Integral [PDF]
, 2016 In this article, the definitions and basic properties of Riemann-Stieltjes integral are formalized in Mizar [1]. In the first section, we showed the preliminary definition. We proved also some properties of finite sequences of real numbers. In Sec. 2, we
Nakasho, Kazuhisa +2 more
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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
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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
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
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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
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Advances in Difference Equations, 2020 In this work, the aim is to discuss a new class of singular nonlinear higher-order fractional boundary value problems involving multiple Riemann–Liouville fractional derivatives.
Lishan Liu, Dandan Min, Yonghong Wu
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