Existence of mild solutions for impulsive fractional-order semilinear evolution equations with nonlocal conditions
In this work we consider a class of impulsive fractional-order semilinear evolution equations with a nonlocal initial condition. By means of solution operator and application of fixed point theorems we established the existence and uniqueness of a mild solution.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Texas State University
2011-08-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2011/107/abstr.html |
| _version_ | 1811260118196551680 |
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| author | Archana Chauhan Jaydev Dabas |
| author_facet | Archana Chauhan Jaydev Dabas |
| author_sort | Archana Chauhan |
| collection | DOAJ |
| description | In this work we consider a class of impulsive fractional-order semilinear evolution equations with a nonlocal initial condition. By means of solution operator and application of fixed point theorems we established the existence and uniqueness of a mild solution. |
| first_indexed | 2024-04-12T18:41:48Z |
| format | Article |
| id | doaj.art-b255ba2b0c1c4eec836d58bbdbce734e |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-04-12T18:41:48Z |
| publishDate | 2011-08-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-b255ba2b0c1c4eec836d58bbdbce734e2022-12-22T03:20:45ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912011-08-012011107,110Existence of mild solutions for impulsive fractional-order semilinear evolution equations with nonlocal conditionsArchana ChauhanJaydev DabasIn this work we consider a class of impulsive fractional-order semilinear evolution equations with a nonlocal initial condition. By means of solution operator and application of fixed point theorems we established the existence and uniqueness of a mild solution.http://ejde.math.txstate.edu/Volumes/2011/107/abstr.htmlFractional order differential equationnonlocal conditionscontraction mappingmild solutionimpulsive conditions |
| spellingShingle | Archana Chauhan Jaydev Dabas Existence of mild solutions for impulsive fractional-order semilinear evolution equations with nonlocal conditions Electronic Journal of Differential Equations Fractional order differential equation nonlocal conditions contraction mapping mild solution impulsive conditions |
| title | Existence of mild solutions for impulsive fractional-order semilinear evolution equations with nonlocal conditions |
| title_full | Existence of mild solutions for impulsive fractional-order semilinear evolution equations with nonlocal conditions |
| title_fullStr | Existence of mild solutions for impulsive fractional-order semilinear evolution equations with nonlocal conditions |
| title_full_unstemmed | Existence of mild solutions for impulsive fractional-order semilinear evolution equations with nonlocal conditions |
| title_short | Existence of mild solutions for impulsive fractional-order semilinear evolution equations with nonlocal conditions |
| title_sort | existence of mild solutions for impulsive fractional order semilinear evolution equations with nonlocal conditions |
| topic | Fractional order differential equation nonlocal conditions contraction mapping mild solution impulsive conditions |
| url | http://ejde.math.txstate.edu/Volumes/2011/107/abstr.html |
| work_keys_str_mv | AT archanachauhan existenceofmildsolutionsforimpulsivefractionalordersemilinearevolutionequationswithnonlocalconditions AT jaydevdabas existenceofmildsolutionsforimpulsivefractionalordersemilinearevolutionequationswithnonlocalconditions |