Establishing the existence of Hilfer fractional pantograph equations with impulses

Home Page
About
Submit A Journal
Submit A Conference
Submit Paper/Book
- Submit a Preprint
- Submit a Book
Contact

Fundamental Journal of Mathematics and Applications
Volume:1 Issue:1
Establishing the existence of Hilfer fractional pantograph equations with impulses

Establishing the existence of Hilfer fractional pantograph equations with impulses

Authors : Sugumaran HARİKRİSHNAN, Rabha IBRAHİM, Kuppusamy KANAGARAJAN

Pages : 36-42

Doi:10.33401/fujma.406651

View : 22 | Download : 11

Publication Date : 2018-06-30

Article Type : Research Paper

Abstract :In [1], the authors established the existence of a class of fractional differential equations of a complex order. In this note, we derive some sufficient conditions for the existence of solutions to a class of Hilfer fractional pantograph equations with impulsive effect. Further, using the techniques of nonlinear functional analysis, we establish appropriate conditions and results to discuss various kinds of Ulam-Hyers stability.
Keywords : Pantograph equation, Impulsive condition, Fixed point stability

ORIGINAL ARTICLE URL

VIEW PAPER (PDF)

* There may have been changes in the journal, article,conference, book, preprint etc. informations. Therefore, it would be appropriate to follow the information on the official page of the source. The information here is shared for informational purposes. IAD is not responsible for incorrect or missing information.