Establishing the existence of Hilfer fractional pantograph equations with impulses

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

References

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