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Mittag-Leffler, G. (1903) Sur la Nouvelle Fonction Eα(x). Comptes Rendus de l’Academie des Sciences Paris, 137, 554-558.

has been cited by the following article:

• TITLE: Natural Transform for Solving Fractional High Order Differential Equations

  AUTHORS: Hanan S. Gafel

  KEYWORDS: Natural Transform, Caputo Fractional Derivative, Fractional High Order Differential Equations, Analytical Solutions

  JOURNAL NAME: Advances in Pure Mathematics, Vol.16 No.4, April 30, 2026

  ABSTRACT: The natural transform (nt), a novel global method for solving fractional high-order differential equations (FDEs), is presented in this work. This technique functions as an all-encompassing integral transform that includes both Sumudu and Laplace transforms. Having inclusive fractional solutions for high-order fractional differential equations is the main goal of this work. The Caputo framework is used to express the fractional derivatives. To demonstrate the effectiveness, simplicity, and ease of use of the suggested approach and its applicability to the solution of differential equations in a variety of scientific domains, three problems are resolved.