On Existence of Solutions for Nonlocal Boundary Pantograph Problems Under ( <i>k</i> , <i>ψ</i> )‐Riemann‐Liouville Fractional Operators Via Measure of Noncompactness on Infinite Domain
ABSTRACT This paper investigates some sufficient conditions to prove the existence of solutions and their topological structure for a ‐Riemann‐Liouville fractional pantograph differential equations under nonlocal boundary conditions on infinite domain in Banach space. The auxiliary lemmas are constructed to investigate our main result. A fixed‐point theorem for Meir‐Keeler condensing operators and a suitable measure of noncompactness are the foundations of the main result. Additionally, exemplifications are also developed to show the application of the main results.
Authors
- Weerawat Sudsutad (ORCID: https://orcid.org/0000-0002-6762-813X)
- Jutarat Kongson (ORCID: https://orcid.org/0000-0002-8189-1022)
- Aphirak Aphithana (ORCID: https://orcid.org/0000-0002-3580-0978)
- Chatthai Thaiprayoon (ORCID: https://orcid.org/0000-0001-5142-0396)
Institutions
- Burapha University (TH)
- Rajamangala University of Technology Krungthep (TH)
- Ramkhamhaeng University (TH)
Publication Details
- Journal
- Mathematical Methods in the Applied Sciences
- Published
- 2025-10-27
- DOI
- https://doi.org/10.1002/mma.70268
- Primary Topic
- Nonlinear Differential Equations Analysis
- Type
- article
- Field-Weighted Citation Impact
- 0.00