An Exploration of the Qualitative Analysis of the Generalized Pantograph Equation with the q-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 principle. Then, we verify that the Ulam-type stability is valid. To illustrate the results, an example is provided.
Authors
- Turki D. Alharbi (ORCID: https://orcid.org/0000-0002-5322-4978)
- R. Vivek
- E. M. Elsayed (ORCID: https://orcid.org/0000-0003-0894-8472)
- K. Kanagarajan (ORCID: https://orcid.org/0000-0001-5556-2658)
- D. Vivek (ORCID: https://orcid.org/0000-0003-0951-8060)
Institutions
- King Abdulaziz University (SA)
- Umm al-Qura University (SA)
- PSG INSTITUTE OF TECHNOLOGY AND APPLIED RESEARCH (IN)
- Ramakrishna Mission Vidyalaya (IN)
Publication Details
- Journal
- Fractal and Fractional
- Published
- 2025-05-06
- DOI
- https://doi.org/10.3390/fractalfract9050302
- Citations
- 1
- Primary Topic
- Fractional Differential Equations Solutions
- Type
- article
- Field-Weighted Citation Impact
- 1.37
Funders
- Umm Al-Qura University