Analysis of respiratory mechanics models with different kernels
In this article, we investigate the mechanics of breathing performed by a ventilator with different kernels by an effective integral transform. We mainly obtain the solutions of the fractional respiratory mechanics model. Our goal is to give the underlying model flexibly by making use of the advanta...
| Main Authors: | , , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2022-07-01
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| Series: | Open Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/phys-2022-0027 |
| _version_ | 1811252793912066048 |
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| author | Akgül Esra Karatas Akgül Ali Jamshed Wasim Rehman Zulfiqar Nisar Kottakkaran Sooppy Alqahtani Mohammed S. Abbas Mohamed |
| author_facet | Akgül Esra Karatas Akgül Ali Jamshed Wasim Rehman Zulfiqar Nisar Kottakkaran Sooppy Alqahtani Mohammed S. Abbas Mohamed |
| author_sort | Akgül Esra Karatas |
| collection | DOAJ |
| description | In this article, we investigate the mechanics of breathing performed by a ventilator with different kernels by an effective integral transform. We mainly obtain the solutions of the fractional respiratory mechanics model. Our goal is to give the underlying model flexibly by making use of the advantages of the non-integer order operators. The big advantage of fractional derivatives is that we can formulate models describing much better the systems with memory effects. Fractional operators with different memories are related to different types of relaxation process of the non-local dynamical systems. Additionally, since we consider the utilisation of different kinds of fractional derivatives, most often having benefit in the implementation, the similarities and differences can be obviously seen between these derivatives. |
| first_indexed | 2024-04-12T16:40:57Z |
| format | Article |
| id | doaj.art-027c5834d92b42d9b8d3a504cd450a49 |
| institution | Directory Open Access Journal |
| issn | 2391-5471 |
| language | English |
| last_indexed | 2024-04-12T16:40:57Z |
| publishDate | 2022-07-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Open Physics |
| spelling | doaj.art-027c5834d92b42d9b8d3a504cd450a492022-12-22T03:24:47ZengDe GruyterOpen Physics2391-54712022-07-0120160961510.1515/phys-2022-0027Analysis of respiratory mechanics models with different kernelsAkgül Esra Karatas0Akgül Ali1Jamshed Wasim2Rehman Zulfiqar3Nisar Kottakkaran Sooppy4Alqahtani Mohammed S.5Abbas Mohamed6Department of Mathematics, Siirt University, Art and Science Faculty, TR-56100 Siirt, TurkeyDepartment of Mathematics, Siirt University, Art and Science Faculty, TR-56100 Siirt, TurkeyDepartment of Mathematics, Capital University of Science and Technology (CUST), Islamabad, 44000, PakistanDepartment of Mathematics, Air University, Islamabad, 44000, PakistanDepartment of Mathematics, College of Arts and Sciences, Prince Sattam Bin Abdulaziz University, Wadi Aldawaser, Wadi11991, Saudi ArabiaRadiological Sciences Department, College of Applied Medical Sciences, King Khalid University, Abha61421, Saudi Arabia Electrical Engineering Department, College of Engineering, King Khalid University, Abha 61421, Saudi ArabiaIn this article, we investigate the mechanics of breathing performed by a ventilator with different kernels by an effective integral transform. We mainly obtain the solutions of the fractional respiratory mechanics model. Our goal is to give the underlying model flexibly by making use of the advantages of the non-integer order operators. The big advantage of fractional derivatives is that we can formulate models describing much better the systems with memory effects. Fractional operators with different memories are related to different types of relaxation process of the non-local dynamical systems. Additionally, since we consider the utilisation of different kinds of fractional derivatives, most often having benefit in the implementation, the similarities and differences can be obviously seen between these derivatives.https://doi.org/10.1515/phys-2022-0027sumudu transformsfractional derivativesrespiratory mechanics models |
| spellingShingle | Akgül Esra Karatas Akgül Ali Jamshed Wasim Rehman Zulfiqar Nisar Kottakkaran Sooppy Alqahtani Mohammed S. Abbas Mohamed Analysis of respiratory mechanics models with different kernels Open Physics sumudu transforms fractional derivatives respiratory mechanics models |
| title | Analysis of respiratory mechanics models with different kernels |
| title_full | Analysis of respiratory mechanics models with different kernels |
| title_fullStr | Analysis of respiratory mechanics models with different kernels |
| title_full_unstemmed | Analysis of respiratory mechanics models with different kernels |
| title_short | Analysis of respiratory mechanics models with different kernels |
| title_sort | analysis of respiratory mechanics models with different kernels |
| topic | sumudu transforms fractional derivatives respiratory mechanics models |
| url | https://doi.org/10.1515/phys-2022-0027 |
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