Solution of Sequential Hadamard Fractional Differential Equations by Variation of Parameter Technique
We obtain in this article a solution of sequential differential equation involving the Hadamard fractional derivative and focusing the orders in the intervals (1,2) and (2,3). Firstly, we obtain the solution of the linear equations using variation of parameter technique, and next we investigate the...
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2018/9605353 |
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| _version_ | 1832547572243234816 |
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| author | Mohammed M. Matar |
| author_facet | Mohammed M. Matar |
| author_sort | Mohammed M. Matar |
| collection | DOAJ |
| description | We obtain in this article a solution of sequential differential equation involving the Hadamard fractional derivative and focusing the orders in the intervals (1,2) and (2,3). Firstly, we obtain the solution of the linear equations using variation of parameter technique, and next we investigate the existence theorems of the corresponding nonlinear types using some fixed-point theorems. Finally, some examples are given to explain the theorems. |
| format | Article |
| id | doaj-art-59d0f4dceb394c0d9f9aa7d0e1cb0ad9 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-59d0f4dceb394c0d9f9aa7d0e1cb0ad92025-02-03T06:44:16ZengWileyAbstract and Applied Analysis1085-33751687-04092018-01-01201810.1155/2018/96053539605353Solution of Sequential Hadamard Fractional Differential Equations by Variation of Parameter TechniqueMohammed M. Matar0Mathematics Department, Al-Azhar University-Gaza, Gaza, State of PalestineWe obtain in this article a solution of sequential differential equation involving the Hadamard fractional derivative and focusing the orders in the intervals (1,2) and (2,3). Firstly, we obtain the solution of the linear equations using variation of parameter technique, and next we investigate the existence theorems of the corresponding nonlinear types using some fixed-point theorems. Finally, some examples are given to explain the theorems.http://dx.doi.org/10.1155/2018/9605353 |
| spellingShingle | Mohammed M. Matar Solution of Sequential Hadamard Fractional Differential Equations by Variation of Parameter Technique Abstract and Applied Analysis |
| title | Solution of Sequential Hadamard Fractional Differential Equations by Variation of Parameter Technique |
| title_full | Solution of Sequential Hadamard Fractional Differential Equations by Variation of Parameter Technique |
| title_fullStr | Solution of Sequential Hadamard Fractional Differential Equations by Variation of Parameter Technique |
| title_full_unstemmed | Solution of Sequential Hadamard Fractional Differential Equations by Variation of Parameter Technique |
| title_short | Solution of Sequential Hadamard Fractional Differential Equations by Variation of Parameter Technique |
| title_sort | solution of sequential hadamard fractional differential equations by variation of parameter technique |
| url | http://dx.doi.org/10.1155/2018/9605353 |
| work_keys_str_mv | AT mohammedmmatar solutionofsequentialhadamardfractionaldifferentialequationsbyvariationofparametertechnique |