An Exploration of the Qualitative Analysis of the Generalized Pantograph Equation with the <i>q</i>-Hilfer Fractional Derivative

An Exploration of the Qualitative Analysis of the Generalized Pantograph Equation with the <i>q</i>-Hilfer Fractional Derivative

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 princ...

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Bibliographic Details
Main Authors: R. Vivek, K. Kanagarajan, D. Vivek, T. D. Alharbi, E. M. Elsayed
Format: Article
Language:English
Published: MDPI AG 2025-05-01
Series:Fractal and Fractional
Subjects:
q-Hilfer fractional derivative
pantograph equation
existence
uniqueness
Ulam stable
nonlocal condition
Online Access:https://www.mdpi.com/2504-3110/9/5/302
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