Numerical Analysis of the Fractional-Order Telegraph Equations
This paper studied the fractional-order telegraph equations via the natural transform decomposition method with nonsingular kernel derivatives. The fractional result considered in the Caputo-Fabrizio derivative is Caputo sense. Currently, the communication system plays a vital role in a global socie...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
|
| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2021/2295804 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832546035687227392 |
|---|---|
| author | Omar Fouad Azhar Muhammad Naeem Fatemah Mofarreh Jeevan Kafle |
| author_facet | Omar Fouad Azhar Muhammad Naeem Fatemah Mofarreh Jeevan Kafle |
| author_sort | Omar Fouad Azhar |
| collection | DOAJ |
| description | This paper studied the fractional-order telegraph equations via the natural transform decomposition method with nonsingular kernel derivatives. The fractional result considered in the Caputo-Fabrizio derivative is Caputo sense. Currently, the communication system plays a vital role in a global society. High-frequency telecommunications continuously receive significant attention in the industry due to a slew of radiofrequency and microwave communication networks. These technologies use transmission media to move information-carrying signals from one location to another. We used natural transformation on fractional telegraph equations followed by inverse natural transformation to achieve the solution of the equation. To validate the technique, we have considered a few problems and compared them with the exact solutions. |
| format | Article |
| id | doaj-art-033371c01804415fa43342bd0d9f101d |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-033371c01804415fa43342bd0d9f101d2025-02-03T07:24:03ZengWileyJournal of Function Spaces2314-88962314-88882021-01-01202110.1155/2021/22958042295804Numerical Analysis of the Fractional-Order Telegraph EquationsOmar Fouad Azhar0Muhammad Naeem1Fatemah Mofarreh2Jeevan Kafle3Deanship of Joint First Year, Umm Al-Qura University, Makkah, Saudi ArabiaDeanship of Joint First Year, Umm Al-Qura University, Makkah, Saudi ArabiaDepartment of Mathematical Sciences, College of Sciences, Princess Nourah Bint Abdulrahman University, Riyadh 11546, Saudi ArabiaCentral Department of Mathematics, Tribhuvan University, Kirtipur, Kathmandu, NepalThis paper studied the fractional-order telegraph equations via the natural transform decomposition method with nonsingular kernel derivatives. The fractional result considered in the Caputo-Fabrizio derivative is Caputo sense. Currently, the communication system plays a vital role in a global society. High-frequency telecommunications continuously receive significant attention in the industry due to a slew of radiofrequency and microwave communication networks. These technologies use transmission media to move information-carrying signals from one location to another. We used natural transformation on fractional telegraph equations followed by inverse natural transformation to achieve the solution of the equation. To validate the technique, we have considered a few problems and compared them with the exact solutions.http://dx.doi.org/10.1155/2021/2295804 |
| spellingShingle | Omar Fouad Azhar Muhammad Naeem Fatemah Mofarreh Jeevan Kafle Numerical Analysis of the Fractional-Order Telegraph Equations Journal of Function Spaces |
| title | Numerical Analysis of the Fractional-Order Telegraph Equations |
| title_full | Numerical Analysis of the Fractional-Order Telegraph Equations |
| title_fullStr | Numerical Analysis of the Fractional-Order Telegraph Equations |
| title_full_unstemmed | Numerical Analysis of the Fractional-Order Telegraph Equations |
| title_short | Numerical Analysis of the Fractional-Order Telegraph Equations |
| title_sort | numerical analysis of the fractional order telegraph equations |
| url | http://dx.doi.org/10.1155/2021/2295804 |
| work_keys_str_mv | AT omarfouadazhar numericalanalysisofthefractionalordertelegraphequations AT muhammadnaeem numericalanalysisofthefractionalordertelegraphequations AT fatemahmofarreh numericalanalysisofthefractionalordertelegraphequations AT jeevankafle numericalanalysisofthefractionalordertelegraphequations |