UNIQUENESS RESULTS BASED ON DELTA FRACTIONAL OPERATORS FOR CERTAIN BOUNDARY VALUE PROBLEMS
This paper primarily lies in presenting existence and uniqueness analysis of boundary fractional difference equations of a special Riemann–Liouville operators classes. To this end, we first develop Green’s function to the corresponding fractional boundary value problems and provide boundary conditions to find the constants. Then we study the existence of solutions and we examine the bounded of their solutions. Eventually, two numerical examples are given to demonstrate the efficiency and uniqueness behavior of the boundary value problem. Furthermore, such fractional problems can typically be converted to a direct fractional problem with certain boundary or initial conditions in transport in porous media.
Authors
- Majeed A. Yousif (ORCID: https://orcid.org/0000-0002-0206-3828)
- Dumitru Bǎleanu (ORCID: https://orcid.org/0000-0002-0286-7244)
- Thabet Abdeljawad (ORCID: https://orcid.org/0000-0002-8889-3768)
- Ravi P. Agarwal (ORCID: https://orcid.org/0000-0003-0634-2370)
- Pshtiwan Othman Mohammed (ORCID: https://orcid.org/0000-0001-6837-8075)
- Mohamed Abdelwahed (ORCID: https://orcid.org/0000-0002-9896-6692)
Institutions
- Florida Institute of Technology (US)
- Gulf University for Science & Technology (KW)
- China Medical University (TW)
- King Saud University (SA)
- Sefako Makgatho Health Sciences University (ZA)
- University of Zakho (IQ)
- Lebanese American University (LB)
- University of Sulaimani (IQ)
Publication Details
- Journal
- Fractals
- Published
- 2024-10-14
- DOI
- https://doi.org/10.1142/s0218348x25400419
- Citations
- 6
- Primary Topic
- Differential Equations and Boundary Problems
- Type
- article
- Field-Weighted Citation Impact
- 5.85