Work

An Exploration of the Qualitative Analysis of the Generalized Pantograph Equation with the q-Hilfer Fractional Derivative

Year: 2025

Type: article

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.

Source: Fractal and Fractional

DOI: 10.3390/fractalfract9050302

Authors: R. Vivek, K. Kanagarajan, D. Vivek, T. D. Alharbi, E. M. Elsayed

Institutions: Ramakrishna Mission Vidyalaya, Sri Ramakrishna College of Arts and Science, PSG College of Arts & Science, Umm al-Qura University, King Abdulaziz University

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,258

Funder: Umm Al-Qura University