Asymptotic power type behavior of solutions to a nonlinear fractional integro-differential equation

Simple item page
dc.contributor.authorAhmad, Ahmad M.
dc.contributor.authorFurati, Khaled M.
dc.contributor.authorTatar, Nasser Eddine
dc.date.accessioned2022-05-17T13:58:31Z
dc.date.available2022-05-17T13:58:31Z
dc.date.issued2017-05-17
dc.description.abstractThis article concerns a general fractional differential equation of order between 1 and 2. We consider the cases where the nonlinear term contains or does not contain other (lower order) fractional derivatives (of Riemann-Liouville type). Moreover, the nonlinearity involves also a nonlinear non-local in time term. The case where this non-local term has a singular kernel is treated as well. It is proved, in all these situations, that solutions approach power type functions at infinity.
dc.description.departmentMathematics
dc.formatText
dc.format.extent16 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationAhmad, A. M., Furati, K. M., & Tatar, N. E. (2017). Asymptotic power type behavior of solutions to a nonlinear fractional integro-differential equation. <i>Electronic Journal of Differential Equations, 2017</i>(134), pp. 1-16.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/15786
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.holderThis work is licensed under a Creative Commons Attribution 4.0 International License.
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2017, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectAsymptotic behavior
dc.subjectFractional integro-differential equation
dc.subjectRiemann-Liouville fractional derivative
dc.subjectNonlocal source
dc.subjectIntegral inequalities
dc.titleAsymptotic power type behavior of solutions to a nonlinear fractional integro-differential equation
dc.typeArticle

Files

Original bundle

Now showing 1 - 1 of 1
Thumbnail Image
Name:
ahmad.pdf
Size:
251.25 KB
Format:
Adobe Portable Document Format
Description:
Download

License bundle

Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
2.54 KB
Format:
Item-specific license agreed upon to submission
Description:
Download

Collections

Electronic Journal of Differential Equations