Existence of solutions of multi-order fractional differential equations
Recently, the field of fractional calculus has garnered significant attention due to its wide range of applications across various disciplines in science and engineering. Numerous results have been derived using tools from numerical functional analysis and fixed point theory to address a variety of problems in this area. This study employs the Banach Fixed Point Theorem (BFPT) to establish the existence and uniqueness of solutions for Riemann–Liouville fractional differential equations (RLFDEs) involving multiple orders. Sufficient conditions for the existence of solutions to the problem under consideration have been provided. Furthermore, an illustrative example is presented to validate the theoretical findings.
Authors
- Hamid Boulares (ORCID: https://orcid.org/0000-0001-9994-0534)
- Thabet Abdeljawad (ORCID: https://orcid.org/0000-0002-8889-3768)
- Kamal Shah (ORCID: https://orcid.org/0000-0002-8851-4844)
- Bahaaeldin Abdalla (ORCID: https://orcid.org/0000-0001-8867-0612)
- Abdelouaheb Ardjouni (ORCID: https://orcid.org/0000-0003-0216-1265)
- Fahd Jarad (ORCID: https://orcid.org/0000-0002-3303-0623)
- Faycal Bouchelaghem
Institutions
- Çankaya University (TR)
- Badji Mokhtar-Annaba University (DZ)
- Mohamed-Cherif Messaadia University (DZ)
- Prince Sultan University (SA)
- Gulf University for Science & Technology (KW)
- Sefako Makgatho Health Sciences University (ZA)
- University of Guelma (DZ)
- Saveetha University (IN)
Publication Details
- Journal
- Partial Differential Equations in Applied Mathematics
- Published
- 2025-02-07
- DOI
- https://doi.org/10.1016/j.padiff.2025.101104
- Citations
- 2
- Primary Topic
- Nonlinear Differential Equations Analysis
- Type
- article
- Field-Weighted Citation Impact
- 7.45