Abstract
This paper is devoted to the study of existence results for a nonlinear Langevin-type fractional (p,q)-difference equation in Banach space. The considered model extends the fractional q-difference Langevin equation by introducing two parameters p and q, which provide additional flexibility in describing discrete fractional processes. By using the Kuratowski measure of noncompactness together with Mönch’s fixed-point theorem, we derive sufficient conditions that guarantee the existence of at least one solution. The main idea consists in converting the boundary value problem into an equivalent fractional (p,q)-integral equation and verifying that the corresponding operator is continuous, bounded, and condensing. An illustrative example is presented to demonstrate the applicability of the obtained results.
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Publication Info
- Year
- 2025
- Type
- article
- Volume
- 13
- Issue
- 24
- Pages
- 3934-3934
- Citations
- 0
- Access
- Closed
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Cite This
Mouataz Billah Mesmouli,
Loredana Florentina Iambor,
Taher S. Hassan
(2025).
Existence Theory for a Class of Nonlinear Langevin Fractional (p,q)-Difference Equations in Banach Space.
Mathematics
, 13
(24)
, 3934-3934.
https://doi.org/10.3390/math13243934
Identifiers
- DOI
- 10.3390/math13243934