Results 11 to 20 of about 40 (38)

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

Abstract and Applied Analysis
MSC2020 Classification: 26A33, 33B15, 33C05, 33C20, 44A10, 44A20.
S. Chandak, B. K. Tripathi, Biniyam Shimelis   +2 more
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Certain integral transforms concerning the product of family of polynomials and generalized incomplete functions

Moroccan Journal of Pure and Applied Analysis, 2020
In this article, we have derived some integral transforms of the polynomial weighted incomplete H-functions and incomplete ̄H-functions. The obtained image formulas are of general nature and may, as special cases, give rise to integral transforms ...
Meena Sapna, Bhatter Sanjay, Jangid Kamlesh, Purohit Sunil Dutt   +3 more
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Shehu Integral Transform and Hyers-Ulam Stability of nth order Linear Differential Equations

Scientific African, 2022
In this paper, we establish the Shehu transform expression for homogeneous and non-homogeneous linear differential equations. With the help of this new integral transform, we solve higher order linear differential equations in the Shehu sense.
Vediyappan Govindan, Samad Noeiaghdam, Unai Fernandez-Gamiz, Sagar Ningonda Sankeshwari, R. Arulprakasam, Bing Zhao Li   +5 more
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Results on analytic functions defined by Laplace-Stieltjes transforms with perfect ϕ-type

Open Mathematics, 2020
In this paper, we introduce the concept of the perfect ϕ\phi -type to describe the growth of the maximal molecule of Laplace-Stieltjes transform by using the more general function than the usual.
Liu Simin, Xu Hongyan, Cui Yongqin, Gong Pan   +3 more
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Laplace - Fibonacci transform by the solution of second order generalized difference equation

Nonautonomous Dynamical Systems, 2017
The main objective of this paper is finding new types of discrete transforms with tuning factor t. This is not only analogy to the continuous Laplace transform but gives discrete Laplace-Fibonacci transform (LFt). This type of Laplace-Fibonacci transform
Pinelas Sandra, Xavier G. B. A., Kumar S. U. Vasantha, Meganathan M.   +3 more
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On fractional kinetic equations k-Struve functions based solutions

Alexandria 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, Saiful Rahman Mondal, Fethi Bin Muhammad Belgacem   +2 more
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New characterizations of completely monotone functions and Bernstein functions, a converse to Hausdorff’s moment characterization theorem

Arab 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
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Solutions of certain initial-boundary value problems via a new extended Laplace transform

Nonlinear Engineering
In this article, we present a novel extended exponential kernel Laplace-type integral transform. The Laplace, natural, and Sumudu transforms are all included in the suggested transform.
Almalki Yahya, Akel Mohamed, Abdalla Mohamed   +2 more
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Decreasing and complete monotonicity of functions defined by derivatives of completely monotonic function involving trigamma function

Demonstratio Mathematica
In this study, using convolution theorem of the Laplace transforms, a monotonicity rule for the ratio of two Laplace transforms, Bernstein’s theorem for completely monotonic functions, and other analytic techniques, the authors verify decreasing property
Yin Hong-Ping, Han Ling-Xiong, Qi Feng
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Mellin convolutions of products and ratios

Frontiers 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
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