Results 1 to 10 of about 203 (101)

Mellin convolutions of products and ratios [PDF]

open access: yesFrontiers in Applied Mathematics and Statistics
Usually, convolution refers to Laplace convolution in the literature, but Mellin convolutions can yield very ueful results. This aspect is illustrated in the coming sections. This study deals with Mellin convolutions of products and ratios.
Arak M. Mathai, Hans J. Haubold
doaj   +4 more sources

The numerical solution of high dimensional variable-order time fractional diffusion equation via the singular boundary method [PDF]

open access: yesJournal of Advanced Research, 2021
Introduction: This study describes a novel meshless technique for solving one of common problem within cell biology, computer graphics, image processing and fluid flow.
Vahid Reza Hosseini   +2 more
doaj   +2 more sources

Generalized Fractional Integral Operators Involving the H―-Function and Their Applications to Special Functions

open access: yesAbstract and Applied Analysis
MSC2020 Classification: 26A33, 33B15, 33C05, 33C20, 44A10, 44A20.
S. Chandak   +2 more
doaj   +2 more sources

On fractional kinetic equations k-Struve functions based solutions

open access: yesAlexandria Engineering Journal, 2018
In the present research article, we investigate the solutions for fractional kinetic equations, involving k-Struve functions, some of the salient properties of which we present. The method used is Laplace transform based.
Kottakkaran Sooppy Nisar   +2 more
doaj   +2 more sources

A Study of a Generalized Logarithmic–Hyperbolic Class of Integrals

open access: yesMathematical Structures and Computational Modeling
We introduce a generalized class of definite integrals                                    I[f] = ∫(-∞ to ∞) f( ln(1 + x²) ) cosh(x) dx where f is real- or complex-valued and satisfies mild growth conditions ensuring convergence.
Halim zeghdoudi
semanticscholar   +2 more sources

New characterizations of completely monotone functions and Bernstein functions, a converse to Hausdorff’s moment characterization theorem

open access: yesArab Journal of Mathematical Sciences, 2019
We give several new characterizations of completely monotone functions and Bernstein functions via two approaches: the first one is driven algebraically via elementary preserving mappings and the second one is developed in terms of the behavior of their ...
Rafik Aguech, Wissem Jedidi
doaj   +2 more sources

Thermoelastic Analysis of Circular and Rectangular Objects with Moving Heat Source: A Review of Recent Literature

open access: yesINTERANTIONAL JOURNAL OF SCIENTIFIC RESEARCH IN ENGINEERING AND MANAGEMENT, 2023
The article investigates the present review of thermoelastic theories of circular and rectangular objects with moving heat sources published on paper after 1950.
K. Hadke, M. Warbhe
semanticscholar   +1 more source

Increasing property and logarithmic convexity of functions involving Dirichlet lambda function

open access: yesDemonstratio Mathematica, 2023
In this article, with the help of an integral representation of the Dirichlet lambda function, by means of a monotonicity rule for the ratio of two integrals with a parameter, and by virtue of complete monotonicity and another property of an elementary ...
Qi Feng, Lim Dongkyu
doaj   +1 more source

Necessary and sufficient conditions for a difference constituted by four derivatives of a function involving trigamma function to be completely monotonic

open access: yesMathematical Inequalities & Applications, 2021
In the paper, by virtue of convolution theorem for the Laplace transforms, Bernstein’s theorem for completely monotonic functions, and other techniques, the author finds necessary and sufficient conditions for a difference constituted by four derivatives
Feng Qi (祁锋)
semanticscholar   +1 more source

Laplace transforms of improper random variables [PDF]

open access: yes, 2021
The probabilistic interpretation of Laplace transforms is used to help to describe the Laplace Transform L(s) of improper random variables. In particular, busy periods in queueing models are examined.
Janhavi Prabhu, M. Hlynka
semanticscholar   +1 more source

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