Stability of solutions for generalized fractional differential problems by applying significant inequality estimates
release_2cbefokgmnhw5cgkulhuft4yiq
by
Mohammed D. Kassim, Thabet Abdeljawad, Saeed M. Ali, Mohammed S. Abdo
2021 Volume 2021
Abstract
<jats:title>Abstract</jats:title>In this research paper, we intend to study the stability of solutions of some nonlinear initial value fractional differential problems. These equations are studied within the generalized fractional derivative of various orders. In order to study the solutions' decay to zero as a power function, we establish sufficient conditions on the nonlinear terms. To this end, some versions of inequalities are combined and generalized via the so-called Bihari inequality. Moreover, we employ some properties of the generalized fractional derivative and appropriate regularization techniques. Finally, the paper involves examples to affirm the validity of the results.
In application/xml+jats
format
Archived Files and Locations
application/pdf 1.5 MB
file_jwdm42uvobdnzct4vtvrx2743e
|
advancesindifferenceequations.springeropen.com (publisher) web.archive.org (webarchive) |
Open Access Publication
In DOAJ
In ISSN ROAD
In Keepers Registry
ISSN-L:
1687-1839
access all versions, variants, and formats of this works (eg, pre-prints)
Crossref Metadata (via API)
Worldcat
SHERPA/RoMEO (journal policies)
wikidata.org
CORE.ac.uk
Semantic Scholar
Google Scholar