Reduction of order formula and fundamental set of solutions for linear fractional differential equations

Mohammed Al-Refai

Research output: Contribution to journalArticlepeer-review

9 Citations (Scopus)

Abstract

In this paper, we consider a class of linear fractional differential equations involving the Caputo–Fabrizio fractional derivative of order 1<α<2. We derive, in closed form, a reduction of order formula to obtain a second linearly independent solution. We then establish a fundamental set of solutions result to the equation. One example is presented to illustrate the validity of the obtained results.

Original languageEnglish
Pages (from-to)8-13
Number of pages6
JournalApplied Mathematics Letters
Volume82
DOIs
Publication statusPublished - Aug 2018

Keywords

  • Caputo–Fabrizio fractional derivative
  • Fractional differential equations
  • Fundamental solutions set

ASJC Scopus subject areas

  • Applied Mathematics

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