A study of Deformable and Conformable Laplace Transform and its applications

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Date

2025-06-15

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Mohamed Boudiaf University of M'sila

Abstract

In this dissertation, we studied the deformable and conformable Laplace transform, where we gave exact solutions of fractional differential equations with a fractional derivative called the deformable fractional derivative of order α, where 0 < α ≤ 1. Also we studied the conformable fractional Laplace transform of the fractional Chebyshev and Legendre polynomials.

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Keywords

Laplace transform, Deformable fractional derivative, Chebyshev polynomials, Legendre polynomials

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