Results 11 to 20 of about 222 (119)
Hahn Laplace transform and its applications
Demonstratio Mathematica, 2023 Like qq-calculus, Hahn calculus (or q,ωq,\omega -calculus) is constructed by defining a difference derivative operator and an integral operator. The q,ωq,\omega -analogs of the integral representations of the Laplace transform and related special ...
Hıra Fatma
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On the generalized fractional Laplace transform
Moroccan Journal of Pure and Applied Analysis, 2021 In the present paper a generalization of the Laplace transform is introduced and studied. Its inversion formula is also obtained. As an application, we obtain the generalized fractional Laplace transform of a general class of functions and a product of ...
Kumar Virendra
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Analysis of solutions of the 1D fractional Cattaneo heat transfer equation
Journal of Applied Mathematics and Computational Mechanics, 2021 In this paper, a solution of the single-phase lag heat conduction problem is presented. The research concerns the generalized 1D Cattaneo equation in a whole-space domain, where a second order time derivative is replaced by the fractional Caputo ...
U. Siedlecka, M. Ciesielski
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Demonstratio Mathematica, 2022 COVID-19, a novel coronavirus disease, is still causing concern all over the world. Recently, researchers have been concentrating their efforts on understanding the complex dynamics of this widespread illness.
Maayah Banan +3 more
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Demonstratio Mathematica, 2023 Recently, integral transforms are a powerful tool used in many areas of mathematics, physics, engineering, and other fields and disciplines. This article is devoted to the study of one important integral transform, which is called the modified degenerate
Almalki Yahya +2 more
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Semi-Hyers-Ulam-Rassias stability for an integro-differential equation of order 𝓃
Demonstratio Mathematica, 2023 The Laplace transform method is applied in this article to study the semi-Hyers-Ulam-Rassias stability of a Volterra integro-differential equation of order n, with convolution-type kernel.
Inoan Daniela, Marian Daniela
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New theoretical results and applications on conformable fractional Natural transform
Ain Shams Engineering Journal, 2021 In this paper, we proceed on to develop the classical Natural transform to fractional order in the sense of conformable derivative and set the basic concepts in this new interesting fractional transform version.
Zeyad Al-Zhour +3 more
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Functional equations from generating functions: a novel approach to deriving identities for the Bernstein basis functions [PDF]
, 2011 The main aim of this paper is to provide a novel approach to deriving identities for the Bernstein polynomials using functional equations. We derive various functional equations and differential equations using generating functions.
Y. Şimşek
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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 +5 more
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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 +3 more
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