Establishing the existence of Hilfer fractional pantograph equations with impulses

Year 2018, Volume: 1 Issue: 1, 36 - 42, 30.06.2018

Sugumaran Harikrishnan , Rabha Ibrahim , Kuppusamy Kanagarajan

https://doi.org/10.33401/fujma.406651

Cited By: 4

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

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