Explicit iteration of an unbounded solution of turbulent flow model involving ψ-Riemann–Liouville fractional derivatives
This paper is concerned for the first time an explicit iteration of an unbounded solution for a turbulent flow model involving ψ-Riemann–Liouville fractional derivatives with the p-Laplacian operator on the infinite interval [a,∞),a≥0. A suitable Banach space for our analysis is defined. The fractio...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2025-02-01
|
| Series: | Alexandria Engineering Journal |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S1110016824014133 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1825206962489393152 |
|---|---|
| author | Sabri T.M. Thabet Imed Kedim Bahaaeldin Abdalla Thabet Abdeljawad |
| author_facet | Sabri T.M. Thabet Imed Kedim Bahaaeldin Abdalla Thabet Abdeljawad |
| author_sort | Sabri T.M. Thabet |
| collection | DOAJ |
| description | This paper is concerned for the first time an explicit iteration of an unbounded solution for a turbulent flow model involving ψ-Riemann–Liouville fractional derivatives with the p-Laplacian operator on the infinite interval [a,∞),a≥0. A suitable Banach space for our analysis is defined. The fractional integral formula that corresponds to the suggested problem is also derived. The existence and uniqueness results of an unbounded solution for a such model are proved by utilizing the classical Banach contraction technique. Several types of the Ulam–Hyers stability are discussed. The properties of the p-Laplacian operator with unbounded domains created enormous challenges and difficulties. At the end, illustrative examples are enhanced to examine the main findings. |
| format | Article |
| id | doaj-art-914b54f6beeb4bf588d739ad32bb2528 |
| institution | Kabale University |
| issn | 1110-0168 |
| language | English |
| publishDate | 2025-02-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Alexandria Engineering Journal |
| spelling | doaj-art-914b54f6beeb4bf588d739ad32bb25282025-02-07T04:46:57ZengElsevierAlexandria Engineering Journal1110-01682025-02-01113611619Explicit iteration of an unbounded solution of turbulent flow model involving ψ-Riemann–Liouville fractional derivativesSabri T.M. Thabet0Imed Kedim1Bahaaeldin Abdalla2Thabet Abdeljawad3Department of Mathematics, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Saveetha University, Chennai 602105, Tamil Nadu, India; Department of Mathematics, Radfan University College, University of Lahej, Lahej, Yemen; Department of Mathematics, College of Science, Korea University, 145 Anam-ro, Seongbuk-gu, Seoul 02814, Republic of KoreaDepartment of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam Bin Abdulaziz University, Al-Kharj 11942, Saudi ArabiaDepartment of Mathematics and Sciences, Prince Sultan University, Riyadh, 11586, Saudi ArabiaDepartment of Mathematics and Sciences, Prince Sultan University, Riyadh, 11586, Saudi Arabia; Department of Medical Research, China Medical University, Taichung 40402, Taiwan; Center for Applied Mathematics and Bioinformatics, Gulf University for Science and Technology, Hawally, 32093, Kuwait; Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Garankuwa, Medusa 0204, South Africa; Corresponding author.This paper is concerned for the first time an explicit iteration of an unbounded solution for a turbulent flow model involving ψ-Riemann–Liouville fractional derivatives with the p-Laplacian operator on the infinite interval [a,∞),a≥0. A suitable Banach space for our analysis is defined. The fractional integral formula that corresponds to the suggested problem is also derived. The existence and uniqueness results of an unbounded solution for a such model are proved by utilizing the classical Banach contraction technique. Several types of the Ulam–Hyers stability are discussed. The properties of the p-Laplacian operator with unbounded domains created enormous challenges and difficulties. At the end, illustrative examples are enhanced to examine the main findings.http://www.sciencedirect.com/science/article/pii/S1110016824014133ψ-Riemann–Liouville fractional derivativesTurbulent flow modelFixed point theoremsUlam–Hyers stability |
| spellingShingle | Sabri T.M. Thabet Imed Kedim Bahaaeldin Abdalla Thabet Abdeljawad Explicit iteration of an unbounded solution of turbulent flow model involving ψ-Riemann–Liouville fractional derivatives Alexandria Engineering Journal ψ-Riemann–Liouville fractional derivatives Turbulent flow model Fixed point theorems Ulam–Hyers stability |
| title | Explicit iteration of an unbounded solution of turbulent flow model involving ψ-Riemann–Liouville fractional derivatives |
| title_full | Explicit iteration of an unbounded solution of turbulent flow model involving ψ-Riemann–Liouville fractional derivatives |
| title_fullStr | Explicit iteration of an unbounded solution of turbulent flow model involving ψ-Riemann–Liouville fractional derivatives |
| title_full_unstemmed | Explicit iteration of an unbounded solution of turbulent flow model involving ψ-Riemann–Liouville fractional derivatives |
| title_short | Explicit iteration of an unbounded solution of turbulent flow model involving ψ-Riemann–Liouville fractional derivatives |
| title_sort | explicit iteration of an unbounded solution of turbulent flow model involving ψ riemann liouville fractional derivatives |
| topic | ψ-Riemann–Liouville fractional derivatives Turbulent flow model Fixed point theorems Ulam–Hyers stability |
| url | http://www.sciencedirect.com/science/article/pii/S1110016824014133 |
| work_keys_str_mv | AT sabritmthabet explicititerationofanunboundedsolutionofturbulentflowmodelinvolvingpsriemannliouvillefractionalderivatives AT imedkedim explicititerationofanunboundedsolutionofturbulentflowmodelinvolvingpsriemannliouvillefractionalderivatives AT bahaaeldinabdalla explicititerationofanunboundedsolutionofturbulentflowmodelinvolvingpsriemannliouvillefractionalderivatives AT thabetabdeljawad explicititerationofanunboundedsolutionofturbulentflowmodelinvolvingpsriemannliouvillefractionalderivatives |