MEASURE OF NONCOMPACTNESS AND PARTIAL DIFFERENTIAL EQUATIONS INVOLVING RIEMANN-LIOUVILLE FRACTIONAL DERIVATIVE

TitleMEASURE OF NONCOMPACTNESS AND PARTIAL DIFFERENTIAL EQUATIONS INVOLVING RIEMANN-LIOUVILLE FRACTIONAL DERIVATIVE
Publication TypeJournal Article
Year of Publication2010
AuthorsBENCHOHRA MOUFFAK, SEBA DJAMILA
JournalDynamic Systems and Applications
Volume19
Start Page527
Pagination10
Date Published2010
ISSN1056-2176
AMS Subject Classification26A33, 26A42, 34G20, 34G25
Abstract

In this paper, we prove the existence of mild solutions for an initial value problem for a semilinear differential equation involving the Riemann-Liouville fractional derivative. The technique relies on the concept of measures of noncompactness and Mönch’s fixed point theorem.
PDFhttps://acadsol.eu/dsa/articles/19/36-DSA-247.pdf
Refereed DesignationRefereed