Existence of solutions for a fractional Riemann–Stieltjes integral boundary value problem
Nonlinear AnalysisIn this paper, we study a Riemann–Liouville-type fractional Riemann–Stieltjes integral boundary value problem under some conditions regarding the spectral radius of the relevant linear operator.
Yanfang Li, Donal O’Regan, Jiafa Xu
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A Sharp Bound of the Čebyšev Functional for the Riemann-Stieltjes Integral and Applications
Journal of Inequalities and Applications, 2008 A new sharp bound of the Čebyšev functional for the Riemann-Stieltjes integral is obtained. Applications for quadrature rules including the trapezoid and midpoint rules are given.
S. S. Dragomir
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Non-Instantaneous Impulsive Boundary Value Problems Containing Caputo Fractional Derivative of a Function with Respect to Another Function and Riemann–Stieltjes Fractional Integral Boundary Conditions [PDF]
Axioms, 2021 In the present article we study existence and uniqueness results for a new class of boundary value problems consisting by non-instantaneous impulses and Caputo fractional derivative of a function with respect to another function, supplemented with ...
Suphawat Asawasamrit +3 more
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ON THE POSITIVITY OF RIEMANN–STIELTJES INTEGRALS [PDF]
Bulletin of the Australian Mathematical Society, 2012 AbstractWe study the question whether a Riemann–Stieltjes integral of a positive continuous function with respect to a nonnegative function of bounded variation is positive.
Lukkarinen Jani, S. Pakkanen Mikko
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Linear Sturm-Liouville problems with Riemann-Stieltjes integral boundary conditions [PDF]
Opuscula Mathematica, 2018 We study second-order linear Sturm-Liouville problems involving general homogeneous linear Riemann-Stieltjes integral boundary conditions. Conditions are obtained for the existence of a sequence of positive eigenvalues with consecutive zero counts of the
Qingkai Kong, Thomas E. St. George
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MathematicsIn this paper, we focus on the existence of positive solutions for a class of p-Laplacian tempered fractional diffusion equations involving a lower tempered integral operator and a Riemann–Stieltjes integral boundary condition. By introducing certain new
Lishuang Li +3 more
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A new theorem on the existence of the Riemann-Stieltjes integral and an improved version of the Lo\'eve-Young inequality [PDF]
, 2015 Using the notion of the truncated variation we obtain a new theorem on the existence and estimation of the Riemann-Stieltjes integral. As a special case of this theorem we obtain an improved version of the Lo\'{e}ve-Young inequality for the Riemann ...
Łochowski, Rafał M.
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AIMS Mathematics, 2020 In this article, we study a class of p-Laplacian fractional differential boundary value problem involving Riemann-Stieltjes integral. By two fixed point theorems of a sum operator in partial ordering Banach spaces, we get the existence and uniqueness of ...
Chengbo Zhai, Yuanyuan Ma, Hongyu Li
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Two-Point Quadrature Rules for Riemann–Stieltjes Integrals with Lp–error estimates [PDF]
Moroccan Journal of Pure and Applied Analysis, 2018 In this work, we construct a new general two-point quadrature rules for the Riemann–Stieltjes integral ∫abf(t) du (t)$\int_a^b {f(t)} \,du\,(t)$, where the integrand f is assumed to be satisfied with the Hölder condition on [a, b] and the integrator u is
Alomari M.W.
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Analytical investigation of fractional differential inclusion with a nonlocal infinite-point or Riemann–Stieltjes integral boundary conditions [PDF]
Journal of Mahani Mathematical Research, 2023 Here, we investigate the existence of solutions for the initial value problem of fractional-order differential inclusion containing a nonlocal infinite-point or Riemann–Stieltjes integral boundary conditions.
I.H. Kaddoura, Sh.M. Al-Issa, H. Hamzae
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