Linear isomorphic spaces of fractional-order difference operators
In the present paper, we intend to make an approach to introduce and study the applications of fractional-order difference operators by generating Orlicz almost null and almost convergent sequence spaces. We also show that aforesaid spaces are linearly isomorphic and BK-spaces. Further, we investiga...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2021-02-01
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| Series: | Alexandria Engineering Journal |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S1110016820305470 |
| _version_ | 1819075522860154880 |
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| author | S.A. Mohiuddine Kuldip Raj M. Mursaleen Abdullah Alotaibi |
| author_facet | S.A. Mohiuddine Kuldip Raj M. Mursaleen Abdullah Alotaibi |
| author_sort | S.A. Mohiuddine |
| collection | DOAJ |
| description | In the present paper, we intend to make an approach to introduce and study the applications of fractional-order difference operators by generating Orlicz almost null and almost convergent sequence spaces. We also show that aforesaid spaces are linearly isomorphic and BK-spaces. Further, we investigate inclusion relations between newly formed sequence spaces and compute the β-, γ-duals. Moreover, we characterize several classes of infinite matrices and give some interesting examples. Finally, we study aforesaid sequence spaces over n-normed space and demonstrate their several algebraic and topological properties. |
| first_indexed | 2024-12-21T18:26:45Z |
| format | Article |
| id | doaj.art-f626bcac1e4148f091458c0157bcea5d |
| institution | Directory Open Access Journal |
| issn | 1110-0168 |
| language | English |
| last_indexed | 2024-12-21T18:26:45Z |
| publishDate | 2021-02-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Alexandria Engineering Journal |
| spelling | doaj.art-f626bcac1e4148f091458c0157bcea5d2022-12-21T18:54:23ZengElsevierAlexandria Engineering Journal1110-01682021-02-0160111551164Linear isomorphic spaces of fractional-order difference operatorsS.A. Mohiuddine0Kuldip Raj1M. Mursaleen2Abdullah Alotaibi3Department of General Required Courses, Mathematics, Faculty of Applied Studies, King Abdulaziz University, Jeddah 21589, Saudi Arabia; Operator Theory and Applications Research Group, Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi ArabiaSchool of Mathematics, Shri Mata Vaishno Devi University, Katra, Jammu and Kashmir 182320, IndiaDepartment of Medical Research, China Medical University Hospital, China Medical University (Taiwan), Taichung, Taiwan; Department of Mathematics, Aligarh Muslim University, Aligarh 202 002, India; Corresponding author at: Department of Mathematics, Aligarh Muslim University, Aligarh 202 002, India.Operator Theory and Applications Research Group, Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi ArabiaIn the present paper, we intend to make an approach to introduce and study the applications of fractional-order difference operators by generating Orlicz almost null and almost convergent sequence spaces. We also show that aforesaid spaces are linearly isomorphic and BK-spaces. Further, we investigate inclusion relations between newly formed sequence spaces and compute the β-, γ-duals. Moreover, we characterize several classes of infinite matrices and give some interesting examples. Finally, we study aforesaid sequence spaces over n-normed space and demonstrate their several algebraic and topological properties.http://www.sciencedirect.com/science/article/pii/S111001682030547047A1546A3546A4540A05 |
| spellingShingle | S.A. Mohiuddine Kuldip Raj M. Mursaleen Abdullah Alotaibi Linear isomorphic spaces of fractional-order difference operators Alexandria Engineering Journal 47A15 46A35 46A45 40A05 |
| title | Linear isomorphic spaces of fractional-order difference operators |
| title_full | Linear isomorphic spaces of fractional-order difference operators |
| title_fullStr | Linear isomorphic spaces of fractional-order difference operators |
| title_full_unstemmed | Linear isomorphic spaces of fractional-order difference operators |
| title_short | Linear isomorphic spaces of fractional-order difference operators |
| title_sort | linear isomorphic spaces of fractional order difference operators |
| topic | 47A15 46A35 46A45 40A05 |
| url | http://www.sciencedirect.com/science/article/pii/S1110016820305470 |
| work_keys_str_mv | AT samohiuddine linearisomorphicspacesoffractionalorderdifferenceoperators AT kuldipraj linearisomorphicspacesoffractionalorderdifferenceoperators AT mmursaleen linearisomorphicspacesoffractionalorderdifferenceoperators AT abdullahalotaibi linearisomorphicspacesoffractionalorderdifferenceoperators |