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The new integral transform and its applications

Eman A. Mansour, Sadiq A. Mehdi, Emad A. Kuffi

2021International journal of nonlinear analysis and applications15 citationsDOI

Abstract

We offer a new complex integral transform, the complex SEE transform, in this paper. The properties of this transform are investigated. This complex integral transform is also used to reduce the core problem to a simple algebraic equation. The answer to this primary problem can then be obtained by solving this algebraic equation and using the inverse of this complex integral transform. Finally, the complex integral transform is used to solve higher order ordinary differential equations. Also, we introduce, some  important engineering and physics applications.

Topics & Concepts

Integral transformIntegral equationMathematicsHartley transformMellin transformApplied mathematicsTwo-sided Laplace transformFractional Fourier transformMathematical analysisFourier transformFourier analysisHeat Transfer and Numerical MethodsIterative Methods for Nonlinear EquationsAlgebraic and Geometric Analysis
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