Existence of the Mild Solutions for Impulsive Fractional Equations with Infinite Delay
This paper is concerned with the existence and uniqueness of a mild solution of a semilinear fractional-order functional evolution differential equation with the infinite delay and impulsive effects. The existence and uniqueness of a mild solution is established using a solution operator and the cla...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2011-01-01
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| Series: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2011/793023 |
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| _version_ | 1832554104117788672 |
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| author | Jaydev Dabas Archana Chauhan Mukesh Kumar |
| author_facet | Jaydev Dabas Archana Chauhan Mukesh Kumar |
| author_sort | Jaydev Dabas |
| collection | DOAJ |
| description | This paper is concerned with the existence and uniqueness of a mild solution of a semilinear fractional-order functional evolution differential equation with the infinite delay and impulsive effects. The existence and uniqueness of a mild solution is established using a solution operator and the classical fixed-point theorems. |
| format | Article |
| id | doaj-art-a0199fff248d4f5d8d055528cb4466c8 |
| institution | Kabale University |
| issn | 1687-9643 1687-9651 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Differential Equations |
| spelling | doaj-art-a0199fff248d4f5d8d055528cb4466c82025-02-03T05:52:21ZengWileyInternational Journal of Differential Equations1687-96431687-96512011-01-01201110.1155/2011/793023793023Existence of the Mild Solutions for Impulsive Fractional Equations with Infinite DelayJaydev Dabas0Archana Chauhan1Mukesh Kumar2Department of Paper Technology, IIT Roorkee, Saharanpur Campus, Saharanpur 247001, IndiaDepartment of Mathematics, Motilal Nehru National Institute of Technology, Allahabad 211 004, IndiaDepartment of Mathematics, Motilal Nehru National Institute of Technology, Allahabad 211 004, IndiaThis paper is concerned with the existence and uniqueness of a mild solution of a semilinear fractional-order functional evolution differential equation with the infinite delay and impulsive effects. The existence and uniqueness of a mild solution is established using a solution operator and the classical fixed-point theorems.http://dx.doi.org/10.1155/2011/793023 |
| spellingShingle | Jaydev Dabas Archana Chauhan Mukesh Kumar Existence of the Mild Solutions for Impulsive Fractional Equations with Infinite Delay International Journal of Differential Equations |
| title | Existence of the Mild Solutions for Impulsive Fractional Equations with Infinite Delay |
| title_full | Existence of the Mild Solutions for Impulsive Fractional Equations with Infinite Delay |
| title_fullStr | Existence of the Mild Solutions for Impulsive Fractional Equations with Infinite Delay |
| title_full_unstemmed | Existence of the Mild Solutions for Impulsive Fractional Equations with Infinite Delay |
| title_short | Existence of the Mild Solutions for Impulsive Fractional Equations with Infinite Delay |
| title_sort | existence of the mild solutions for impulsive fractional equations with infinite delay |
| url | http://dx.doi.org/10.1155/2011/793023 |
| work_keys_str_mv | AT jaydevdabas existenceofthemildsolutionsforimpulsivefractionalequationswithinfinitedelay AT archanachauhan existenceofthemildsolutionsforimpulsivefractionalequationswithinfinitedelay AT mukeshkumar existenceofthemildsolutionsforimpulsivefractionalequationswithinfinitedelay |