On a Differential Equation Involving Hilfer-Hadamard Fractional Derivative
This paper studies a fractional differential inequality involving a new fractional derivative (Hilfer-Hadamard type) with a polynomial source term. We obtain an exponent for which there does not exist any global solution for the problem. We also provide an example to show the existence of solutions...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/391062 |
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| _version_ | 1832559062909190144 |
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| author | M. D. Qassim K. M. Furati N.-E. Tatar |
| author_facet | M. D. Qassim K. M. Furati N.-E. Tatar |
| author_sort | M. D. Qassim |
| collection | DOAJ |
| description | This paper studies a fractional differential inequality involving a new fractional derivative (Hilfer-Hadamard type) with a polynomial source term. We obtain an exponent for which there does not exist any global solution for the problem. We also provide an example to show the existence of solutions in a wider space for some exponents. |
| format | Article |
| id | doaj-art-289baefb4f3a4187a4df9c1fd35a66b7 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-289baefb4f3a4187a4df9c1fd35a66b72025-02-03T01:30:59ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/391062391062On a Differential Equation Involving Hilfer-Hadamard Fractional DerivativeM. D. Qassim0K. M. Furati1N.-E. Tatar2Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi ArabiaDepartment of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi ArabiaDepartment of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi ArabiaThis paper studies a fractional differential inequality involving a new fractional derivative (Hilfer-Hadamard type) with a polynomial source term. We obtain an exponent for which there does not exist any global solution for the problem. We also provide an example to show the existence of solutions in a wider space for some exponents.http://dx.doi.org/10.1155/2012/391062 |
| spellingShingle | M. D. Qassim K. M. Furati N.-E. Tatar On a Differential Equation Involving Hilfer-Hadamard Fractional Derivative Abstract and Applied Analysis |
| title | On a Differential Equation Involving Hilfer-Hadamard Fractional Derivative |
| title_full | On a Differential Equation Involving Hilfer-Hadamard Fractional Derivative |
| title_fullStr | On a Differential Equation Involving Hilfer-Hadamard Fractional Derivative |
| title_full_unstemmed | On a Differential Equation Involving Hilfer-Hadamard Fractional Derivative |
| title_short | On a Differential Equation Involving Hilfer-Hadamard Fractional Derivative |
| title_sort | on a differential equation involving hilfer hadamard fractional derivative |
| url | http://dx.doi.org/10.1155/2012/391062 |
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