Article citationsMore>>

Omran, M. and Kiliçman, A. (2016) Natural Transform of Fractional Order and Some Properties. Cogent Mathematics, 3, Article ID: 1251874.
https://doi.org/10.1080/23311835.2016.1251874

has been cited by the following article:

• TITLE: General Analytical Solutions to Fractional Differential Equations

  AUTHORS: Hanan S. Gafel

  KEYWORDS: Caputo Sense, N-Transform, Fractional Differential Equations, A Fixed Point Theorem, General Analytical Solutions

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.14 No.1, January 28, 2026

  ABSTRACT: This research introduces a new global technique for addressing fractional differential equations (FDEs), referred to as the N-Transform (NT). This method serves as a comprehensive integral transform, encompassing both Laplace and Sumudu transforms. A fixed point theorem is used to prove the existence and uniqueness of solutions. Finding general solutions to specific fractional differential equations and proving their uniqueness through the application of a fixed point theorem are the main goals of this study. The fractional derivatives are expressed in the Caputo framework. The findings indicate that this method is highly effective, straightforward, and applicable to differential equations across various fields of science.