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Open AccessArticle
Theoretical Results on Positive Solutions in Delta Riemann–Liouville Setting
by
Pshtiwan Othman Mohammed
Pshtiwan Othman Mohammed
,
Ravi P. Agarwal
Ravi P. Agarwal
Prof. Dr. Ravi P. Agarwal is a Professor in the Department of Mathematics at the Texas A&M He his at [...]
Prof. Dr. Ravi P. Agarwal is a Professor in the Department of Mathematics at the Texas A&M University, Kingsville. He completed his Ph.D. at the Indian Institute of Technology, Madras, India, in 1973. His research interests include nonlinear analysis, differential and difference equations, fixed-point theory, and general inequalities. From 1980 to 1981, he was awarded the most respected Alexander Von Humboldt Foundation Fellowship to work with Prof. Dr. G. Hammerlin at der Ludwig—Maximilians Universitat, Munchen, Germany, and from 1981 to 1982, he worked as a Visiting Professor with Prof. Roberto Conti, Instituto Matematico, Firenze, Italy. He has served over 40 Journals in the capacity of an Editor or Associate Editor and published 24 books as an Editor. Dr. Ravi P Agarwal has also organized International Conferences.
Majeed A. Yousif
Majeed A. Yousif
Eman Al-Sarairah
Eman Al-Sarairah
Alina Alb Lupas
Alina Alb Lupas
Mohamed Abdelwahed
Mohamed Abdelwahed
1
Department of Mathematics, College of Education, University of Sulaimani, Sulaimani 46001, Iraq
2
Research and Development Center, University of Sulaimani, Sulaimani 46001, Iraq
3
Department of Mathematics and Systems Engineering, Florida Institute of Technology, Melbourne, FL 32901, USA
4
Department of Mathematics, College of Education, University of Zakho, Zakho 42002, Iraq
5
Department of Mathematics, Khalifa University of Science and Technology, Abu Dhabi P.O. Box 127788, United Arab Emirates
6
Department of Mathematics, Al-Hussein Bin Talal University, P.O. Box 20, Ma’an 71111, Jordan
7
Department of Mathematics and Computer Science, University of Oradea, 410087 Oradea, Romania
8
Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia
*
Authors to whom correspondence should be addressed.
Mathematics 2024, 12(18), 2864; https://doi.org/10.3390/math12182864 (registering DOI)
Submission received: 5 August 2024
/
Revised: 12 September 2024
/
Accepted: 12 September 2024
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Published: 14 September 2024
Abstract
This article primarily focuses on examining the existence and uniqueness analysis of boundary fractional difference equations in a class of Riemann–Liouville operators. To this end, we firstly recall the general solution of the homogeneous fractional operator problem. Then, the Green function to the corresponding fractional boundary value problems will be reconstructed, and homogeneous boundary conditions are used to find the unknown constants. Next, the existence of solutions will be studied depending on the fixed-point theorems on the constructed Green’s function. The uniqueness of the problem is also derived via Lipschitz constant conditions.
Share and Cite
MDPI and ACS Style
Mohammed, P.O.; Agarwal, R.P.; Yousif, M.A.; Al-Sarairah, E.; Lupas, A.A.; Abdelwahed, M.
Theoretical Results on Positive Solutions in Delta Riemann–Liouville Setting. Mathematics 2024, 12, 2864.
https://doi.org/10.3390/math12182864
AMA Style
Mohammed PO, Agarwal RP, Yousif MA, Al-Sarairah E, Lupas AA, Abdelwahed M.
Theoretical Results on Positive Solutions in Delta Riemann–Liouville Setting. Mathematics. 2024; 12(18):2864.
https://doi.org/10.3390/math12182864
Chicago/Turabian Style
Mohammed, Pshtiwan Othman, Ravi P. Agarwal, Majeed A. Yousif, Eman Al-Sarairah, Alina Alb Lupas, and Mohamed Abdelwahed.
2024. "Theoretical Results on Positive Solutions in Delta Riemann–Liouville Setting" Mathematics 12, no. 18: 2864.
https://doi.org/10.3390/math12182864
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