An Extension of the Picard Theorem to Fractional Differential Equations with a Caputo-Fabrizio Derivative

H. R. Marasi*, A. Soltani Joujehi, H. Aydi

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

In this paper, we consider fractional differential equations with the new fractional derivative involving a nonsingular kernel, namely, the Caputo-Fabrizio fractional derivative. Using a successive approximation method, we prove an extension of the Picard-Lindelöf existence and uniqueness theorem for fractional differential equations with this derivative, which gives a set of conditions, under which a fractional initial value problem has a unique solution.

Original languageEnglish
Article number6624861
JournalJournal of Function Spaces
Volume2021
DOIs
Publication statusPublished - 2021
Externally publishedYes

Fingerprint

Dive into the research topics of 'An Extension of the Picard Theorem to Fractional Differential Equations with a Caputo-Fabrizio Derivative'. Together they form a unique fingerprint.

Cite this