Noncompactness Technique to Hilfer-Katugampola Non-Instantaneous Impulses Model with Varying Lower Limit

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DOI: https://doi.org/10.28924/2291-8639-24-2026-127
Published: Apr 30, 2026
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Hunida Malaikah, Noncompactness Technique to Hilfer-Katugampola Non-Instantaneous Impulses Model with Varying Lower Limit, Int. J. Anal. Appl., 24 (2026), 127.

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Hunida Malaikah

Abstract

The primary objective of this paper is to present some results about the existence of solutions for a class of initial value problem using Hilfer-Katugampola derivative with varying lower limit for fractional non-instantaneous impulse models. It is possible to establish the coincidence degree theory and obtain solvability by carefully constructing significant operators that include impulsive terms that are not instantaneous. We use inequalities and nonlinear analytic techniques to investigate the stability of solutions. In the simplest case, we automatically found the solvability and stability of the Hilfer-Katugampola equations for impulses that are non-instantaneously present. Measurement techniques are utilized to determine noncompactness using Sadovskii’s fixed point theorem. Instead of using anything else, we use Krasnoselskii’s fixed point theorem to construct a concise approach. An example of clarifying the results is provided by it.

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