An Approximate-Analytical Solution to Analyze Fractional View of Telegraph Equations
In the present research article, a modified analytical method is applied to solve time-fractional telegraph equations. The Caputo-operator is used to express the derivative of fractional-order. The present method is the combination of two well-known methods namely Mohan transformation method and Ado...
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| Format: | Article |
| Language: | English |
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IEEE
2020-01-01
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| Series: | IEEE Access |
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| Online Access: | https://ieeexplore.ieee.org/document/8985183/ |
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| author | Izaz Ali Hassan Khan Umar Farooq Dumitru Baleanu Poom Kumam Muhammad Arif |
| author_facet | Izaz Ali Hassan Khan Umar Farooq Dumitru Baleanu Poom Kumam Muhammad Arif |
| author_sort | Izaz Ali |
| collection | DOAJ |
| description | In the present research article, a modified analytical method is applied to solve time-fractional telegraph equations. The Caputo-operator is used to express the derivative of fractional-order. The present method is the combination of two well-known methods namely Mohan transformation method and Adomian decomposition method. The validity of the proposed technique is confirmed through illustrative examples. It is observed that the obtained solutions have strong contact with the exact solution of the examples. Moreover, it is investigated that the present method has the desired degree of accuracy and provided the graphs closed form solutions of all targeted examples. The graphs have verified the convergence analysis of fractional-order solutions to integer-order solution. In conclusion, the suggested method is simple, straightforward and an effective technique to solve fractional-order partial differential equations. |
| format | Article |
| id | doaj-art-c4b85131be174f6b8917675a7aff1e37 |
| institution | Kabale University |
| issn | 2169-3536 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj-art-c4b85131be174f6b8917675a7aff1e372025-08-22T23:10:45ZengIEEEIEEE Access2169-35362020-01-018256382564910.1109/ACCESS.2020.29702428985183An Approximate-Analytical Solution to Analyze Fractional View of Telegraph EquationsIzaz Ali0https://orcid.org/0000-0002-4879-3957Hassan Khan1https://orcid.org/0000-0001-6417-1181Umar Farooq2https://orcid.org/0000-0002-2768-0240Dumitru Baleanu3https://orcid.org/0000-0002-0286-7244Poom Kumam4https://orcid.org/0000-0002-5463-4581Muhammad Arif5https://orcid.org/0000-0003-1484-7643Department of Mathematics, Abdul Wali Khan University Mardan (AWKUM), Mardan, PakistanDepartment of Mathematics, Abdul Wali Khan University Mardan (AWKUM), Mardan, PakistanDepartment of Mathematics, Abdul Wali Khan University Mardan (AWKUM), Mardan, PakistanDepartment of Mathematics, Faculty of Arts and Sciences, Çankaya University, Ankara, TurkeyCenter of Excellence in Theoretical and Computational Science (TaCS-CoE), King Mongkut’s University of Technology Thonburi (KMUTT), Bangkok, ThailandDepartment of Mathematics, Abdul Wali Khan University Mardan (AWKUM), Mardan, PakistanIn the present research article, a modified analytical method is applied to solve time-fractional telegraph equations. The Caputo-operator is used to express the derivative of fractional-order. The present method is the combination of two well-known methods namely Mohan transformation method and Adomian decomposition method. The validity of the proposed technique is confirmed through illustrative examples. It is observed that the obtained solutions have strong contact with the exact solution of the examples. Moreover, it is investigated that the present method has the desired degree of accuracy and provided the graphs closed form solutions of all targeted examples. The graphs have verified the convergence analysis of fractional-order solutions to integer-order solution. In conclusion, the suggested method is simple, straightforward and an effective technique to solve fractional-order partial differential equations.https://ieeexplore.ieee.org/document/8985183/Mohand transformationtelegraph equationsAdomian decomposition methodCaputo operator |
| spellingShingle | Izaz Ali Hassan Khan Umar Farooq Dumitru Baleanu Poom Kumam Muhammad Arif An Approximate-Analytical Solution to Analyze Fractional View of Telegraph Equations IEEE Access Mohand transformation telegraph equations Adomian decomposition method Caputo operator |
| title | An Approximate-Analytical Solution to Analyze Fractional View of Telegraph Equations |
| title_full | An Approximate-Analytical Solution to Analyze Fractional View of Telegraph Equations |
| title_fullStr | An Approximate-Analytical Solution to Analyze Fractional View of Telegraph Equations |
| title_full_unstemmed | An Approximate-Analytical Solution to Analyze Fractional View of Telegraph Equations |
| title_short | An Approximate-Analytical Solution to Analyze Fractional View of Telegraph Equations |
| title_sort | approximate analytical solution to analyze fractional view of telegraph equations |
| topic | Mohand transformation telegraph equations Adomian decomposition method Caputo operator |
| url | https://ieeexplore.ieee.org/document/8985183/ |
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