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Application of New Double Integral Transform (Laplace- ARA Transform) to Integral-Differential Equations

Article scientifique 2022 Anglais

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Abstract The major objective of this paper is to propose a novel double Laplace – ARA transforms (DL-ARAT). We employ this transform to prove the convolution, existence and other relevant theorems as well as derivatives properties. Subsequently, this method is applied to solve some illustrative integral- differential equations. This approach was shown to be a powerful and efficient means to tack integral- differential equations.

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Sedeeg, A., Zubair, S., Adam, Z., Ahmed, S., Mahgob, M. (2022). Application of New Double Integral Transform (Laplace- ARA Transform) to Integral-Differential Equations. https://doi.org/10.21203/rs.3.rs-2215117/v1

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