Involvement of the fixed point technique for solving a fractional differential system
Some physical phenomena were described through fractional differential equations and compared with integer-order differential equations which have better results, which is why researchers of different areas have paid great attention to study this direction. So, in this manuscript, we discuss the exi...
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| Format: | Article |
| Language: | English |
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AIMS Press
2022-01-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2022395?viewType=HTML |
| _version_ | 1819278498474229760 |
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| author | Hasanen A. Hammad Manuel De la Sen |
| author_facet | Hasanen A. Hammad Manuel De la Sen |
| author_sort | Hasanen A. Hammad |
| collection | DOAJ |
| description | Some physical phenomena were described through fractional differential equations and compared with integer-order differential equations which have better results, which is why researchers of different areas have paid great attention to study this direction. So, in this manuscript, we discuss the existence and uniqueness of solutions to a system of fractional deferential equations (FDEs) under Riemann-Liouville (R-L) integral boundary conditions. The solution method is obtained by two basic rules, the first rule is the Leray-Schauder alternative and the second is the Banach contraction principle. Finally, the theoretical results are supported by an illustrative example. |
| first_indexed | 2024-12-24T00:12:58Z |
| format | Article |
| id | doaj.art-bd469f26109c435f8acb9eaeb854cd6d |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-12-24T00:12:58Z |
| publishDate | 2022-01-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-bd469f26109c435f8acb9eaeb854cd6d2022-12-21T17:24:51ZengAIMS PressAIMS Mathematics2473-69882022-01-01747093710510.3934/math.2022395Involvement of the fixed point technique for solving a fractional differential systemHasanen A. Hammad0Manuel De la Sen 11. Department of Mathematics, Faculty of Science, Sohag University, Sohag 82524, Egypt2. Institute of Research and Development of Processes, University of the Basque Country, 48940 Leioa (Bizkaia), SpainSome physical phenomena were described through fractional differential equations and compared with integer-order differential equations which have better results, which is why researchers of different areas have paid great attention to study this direction. So, in this manuscript, we discuss the existence and uniqueness of solutions to a system of fractional deferential equations (FDEs) under Riemann-Liouville (R-L) integral boundary conditions. The solution method is obtained by two basic rules, the first rule is the Leray-Schauder alternative and the second is the Banach contraction principle. Finally, the theoretical results are supported by an illustrative example.https://www.aimspress.com/article/doi/10.3934/math.2022395?viewType=HTMLcaputo fractional derivativesr-l integralsfixed point methodologyleray-schauder alternative |
| spellingShingle | Hasanen A. Hammad Manuel De la Sen Involvement of the fixed point technique for solving a fractional differential system AIMS Mathematics caputo fractional derivatives r-l integrals fixed point methodology leray-schauder alternative |
| title | Involvement of the fixed point technique for solving a fractional differential system |
| title_full | Involvement of the fixed point technique for solving a fractional differential system |
| title_fullStr | Involvement of the fixed point technique for solving a fractional differential system |
| title_full_unstemmed | Involvement of the fixed point technique for solving a fractional differential system |
| title_short | Involvement of the fixed point technique for solving a fractional differential system |
| title_sort | involvement of the fixed point technique for solving a fractional differential system |
| topic | caputo fractional derivatives r-l integrals fixed point methodology leray-schauder alternative |
| url | https://www.aimspress.com/article/doi/10.3934/math.2022395?viewType=HTML |
| work_keys_str_mv | AT hasanenahammad involvementofthefixedpointtechniqueforsolvingafractionaldifferentialsystem AT manueldelasen involvementofthefixedpointtechniqueforsolvingafractionaldifferentialsystem |