Publication: Theory and applications on a new generalized Laplace-type integral transform
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Abstract
In this paper, several theorems and relations are examined by using a generalized Laplace-type integral transform. A generalization of the harmonic oscillator in a non-resisting and resisting medium problems, initial-boundary problems, and integral equations is solved via this integral transform. Furthermore, the well-known series entitled as Basel problem is obtained in a similar way. Moreover, we compare numerically classical and newly introduced by us integral transform.
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Matematik, Bilgisayar Bilimleri, Temel Bilimler, Mathematics, Computer Science, Natural Sciences, MATEMATİK, UYGULAMALI, Temel Bilimler (SCI), MATHEMATICS, APPLIED, MATHEMATICS, Natural Sciences (SCI), Sayısal analiz, Modelleme ve Simülasyon, Uygulamalı matematik, Analiz, Cebir ve Sayı Teorisi, Matematik (çeşitli), Genel Matematik, Hesaplamalı Teori ve Matematik, Fizik Bilimleri, Numerical Analysis, Modeling and Simulation, Applied Mathematics, Analysis, Algebra and Number Theory, Mathematics (miscellaneous), General Mathematics, Computational Theory and Mathematics, Physical Sciences, convolution, differential equations, integral equations, Laplace transform, partial differential equations, convolution, differential equations, integral equations, Laplace transform, partial differential equations
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ALBAYRAK D., "Theory and applications on a new generalized Laplace-type integral transform", MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2022