Vivek, D (2025) AnExploration of the Qualitative Analysis of the Generalized Pantograph Equation with the q-Hilfer Fractional Derivative. AnExploration of the Qualitative Analysis of the Generalized Pantograph Equation with the q-Hilfer Fractional Derivative, 9 (5). pp. 1-17.

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Abstract

This manuscript tries to show that there is only one solution to the problem
of the q-Hilfer fractional generalized pantograph differential equations with a nonlocal
condition, and it does so by employing a particular technique known as Schaefer’s fixed
point theorem and the Banach contraction principle. Then, we verify that the Ulam-type
stability is valid. To illustrate the results, an example is provided.

Item Type: Article
Uncontrolled Keywords: q-Hilfer fractional derivative; pantograph equation; existence; uniqueness; Ulam stable; nonlocal condition
Divisions: PSG College of Arts and Science > Department of Mathematics
Depositing User: Dr. B Sivakumar
Date Deposited: 27 Oct 2025 07:23
Last Modified: 27 Oct 2025 07:23
URI: https://ir.psgcas.ac.in/id/eprint/2467

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