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A Generalized Local Fractional Laplace Transform via a Unified Derivative Operator |
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PP: 789-806 |
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doi:10.18576/amis/200317
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Author(s) |
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Miguel Vivas-Cortez,
Janneth Velasco-Velasco,
Simo ́n Ceden ̃o-Mendoza,
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Abstract |
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| Recently, generalized local fractional derivatives have attracted increasing attention due to their ability to model nonlocal and scale-dependent phenomena while preserving locality. In this paper, we introduce a generalized local fractional Laplace transform constructed through a unified derivative operator. This new transform extends the classical Laplace transform to local fractional orders while retaining its fundamental operational properties. The proposed framework provides a consistent analytical tool for the treatment of differential equations involving generalized local fractional derivatives and establishes a natural bridge between classical and local fractional analysis. |
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