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

Rami AlAhmad, Mohammad Al-Khaleel, Hasan Almefleh

    Research output: Contribution to journalArticlepeer-review

    1 Scopus citations

    Abstract

    In this paper, we solve a class of fractional differential equations of order α∈(0,1) in Caputo–Fabrizio sense. Importantly, we highlight relations between the Caputo–Fabrizio and standard first order derivatives that are very important for the understanding of Caputo–Fabrizio theory and how it can be applied. Moreover, using the exactness of differential equations concept, implicit analytical solutions of such equations are presented which are extensions and generalizations to the results found in the literature. Application to fractional order RC type circuits and other examples are given to illustrate the validity and reliability of our results and theory.

    Original languageBritish English
    Article number115507
    JournalJournal of Computational and Applied Mathematics
    Volume438
    DOIs
    StatePublished - 1 Mar 2024

    Keywords

    • Caputo–Fabrizio theory
    • Exact differential equations
    • Fractional calculus
    • Fractional differential equations
    • Fractional order RC circuits

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