On solutions of linear and nonlinear fractional differential equations with application to fractional order RC type circuits

AlAhmad, Rami; Al-Khaleel, Mohammad; Almefleh, Hasan

doi:10.1016/j.cam.2023.115507

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Fractional Calculus and Fractional Derivatives1

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2024

2025

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Cited by 4 publications

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“…Fractional calculus has resurfaced and gained momentum due to its potential in engineering systems, multidisciplinary fields, biology, medicine, and applied sciences. Its wide range of applications includes areas like linear anomalous diffusion equation and its characteristics [14], respiratory tissue, RC circuits [4], and drug diffusion [16]. At the same time, fractional calculus has found its way to sensors, analogue filters, and digital filters [18].…”

Section: Fractional Calculus and Fractional Derivativesmentioning

confidence: 99%

The differential transform of the Caputo-Fabrizio fractional derivative

AlAhmad

2023

J. Math. Computer Sci.

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In this paper, we introduce the differential transform of Caputo-Fabeizio fractional derivatives which transforms the fractional derivatives into power series. This is an extension of the differential transform from ordinary derivatives to fractional ones. Interestingly, this transformation will help to solve fractional differential equations using the series method and by applying properties of difference operators.

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