Results 11 to 20 of about 11,655 (217)
Henstock-Kurzweil integral on ${\rm BV}$ sets [PDF]
Mathematica Bohemica, 2016 The generalized Riemann integral of Pfeffer (1991) is defined on all bounded ${\rm BV$ subsets of $\mathbb R^n$, but it is additive only with respect to pairs of disjoint sets whose closures intersect in a set of $\sigma$-finite Hausdorff measure of ...
Jan Malý, Washek F. Pfeffer
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Infrastructures, 2023 Reinforced concrete (RC) frames are an integral part of modern construction as they resist both gravity and lateral loads in beams and columns. However, the construction methodologies of RC frames are vulnerable to non-engineering defects, particularly ...
Ali Javed +5 more
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General Master Theorems of Integrals with Applications
Mathematics, 2022 Many formulas of improper integrals are shown every day and need to be solved in different areas of science and engineering. Some of them can be solved, and others require approximate solutions or computer software.
Mohammad Abu-Ghuwaleh +2 more
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Trends in Computational and Applied Mathematics, 2023 The calculation of the Coulomb Potential corresponding to the product of two Exponential Type Functions, inherently has numerical challenges that must be resolved.
C. J. Alturria Lanzardo +4 more
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Alternative Proof of Frullani's Theorem and Applications in Evaluating Frullani Integrals
PUP Journal of Science and TechnologyThis article provides an alternative proof for the Frullani integral formula using an approach different from the existing one. This alternative proof gave us a novel method for evaluating certain improper integrals of Frullani type.
Paul Vincent Botin +2 more
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Boundary Value Problems, 2023 This paper investigates the existence of positive solutions for a class of fractional boundary value problems involving an improper integral and the infinite-point on the half-line by making use of properties of the Green function and Avery–Peterson ...
Ning Wang, Zongfu Zhou
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Mathematics, 2019 The aim of this work is to study generalizations of the notion of the mean. Kolmogorov proposed a generalization based on an improper integral with a decay rate for the tail probabilities.
John E. Gray, Andrew Vogt
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On the Existence and Stability of Bounded Solutions for Abstract Dynamic Equations on Time Scales
International Journal of Differential Equations, 2023 In this article we study the existence and stability of bounded solutions for semilinear abstract dynamic equations on time scales in Banach spaces. In order to do so, we use the definition of the Riemann delta-integral to prove a result about closed ...
Cosme Duque +3 more
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Evaluating Some Improper Sine and Cosine Integrals
AxiomsWe consider four infinite collections of improper integrals involving the sine and cosine functions and provide explicit values for the integrals in each of the collections.
Russell A. Gordon
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On Fuzzy Improper Integral and Its Application for Fuzzy Partial Differential Equations
International Journal of Differential Equations, 2016 We establish some important results about improper fuzzy Riemann integrals; we prove some properties of fuzzy Laplace transforms, which we apply for solving some fuzzy linear partial differential equations of first order, under generalized Hukuhara ...
ElHassan ElJaoui, Said Melliani
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