- 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 : 21 | Download : 10
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