Analysis of Multiterm Initial Value Problems with Caputo-Fabrizio Derivative

Mohammed Al-Refai, Muhammed Syam

Research output: Contribution to journalArticlepeer-review


In this paper, we discuss the solvability of a class of multiterm initial value problems involving the Caputo-Fabrizio fractional derivative via the Laplace transform. We derive necessary and sufficient conditions to guarantee the existence of solutions to the problem. We also obtain the solutions in closed forms. We present two examples to illustrate the validity of the obtained results.

Original languageEnglish
Article number8231828
JournalJournal of Mathematics
Publication statusPublished - 2021

ASJC Scopus subject areas

  • General Mathematics


Dive into the research topics of 'Analysis of Multiterm Initial Value Problems with Caputo-Fabrizio Derivative'. Together they form a unique fingerprint.

Cite this