Mean-Square Asymptotically Almost Automorphic Solutions to Fractional Stochastic Relaxation Equations
Mild solutions generated by a a, k-regularized family to fractional stochastic relaxation equations are studied. The main objective is to establish the existence and uniqueness of square-mean asymptotically almost automorphic mild solutions to linear and semilinear case of these equations. Under dif...
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2015/143591 |
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| _version_ | 1832566798593032192 |
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| author | Qiong Wu |
| author_facet | Qiong Wu |
| author_sort | Qiong Wu |
| collection | DOAJ |
| description | Mild solutions generated by a a, k-regularized family to fractional stochastic relaxation equations are studied. The main objective is to establish the existence and uniqueness of square-mean asymptotically almost automorphic mild solutions to linear and semilinear case of these equations. Under different hypotheses, some new theorems concerning the main objective are derived. |
| format | Article |
| id | doaj-art-0a6b1ad4d7c2464f96e733fcec3eef78 |
| institution | Kabale University |
| issn | 1687-9643 1687-9651 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Differential Equations |
| spelling | doaj-art-0a6b1ad4d7c2464f96e733fcec3eef782025-02-03T01:03:11ZengWileyInternational Journal of Differential Equations1687-96431687-96512015-01-01201510.1155/2015/143591143591Mean-Square Asymptotically Almost Automorphic Solutions to Fractional Stochastic Relaxation EquationsQiong Wu0Department of Mathematics, Tufts University, 503 Boston Avenue, Medford, MA 02155, USAMild solutions generated by a a, k-regularized family to fractional stochastic relaxation equations are studied. The main objective is to establish the existence and uniqueness of square-mean asymptotically almost automorphic mild solutions to linear and semilinear case of these equations. Under different hypotheses, some new theorems concerning the main objective are derived.http://dx.doi.org/10.1155/2015/143591 |
| spellingShingle | Qiong Wu Mean-Square Asymptotically Almost Automorphic Solutions to Fractional Stochastic Relaxation Equations International Journal of Differential Equations |
| title | Mean-Square Asymptotically Almost Automorphic Solutions to Fractional Stochastic Relaxation Equations |
| title_full | Mean-Square Asymptotically Almost Automorphic Solutions to Fractional Stochastic Relaxation Equations |
| title_fullStr | Mean-Square Asymptotically Almost Automorphic Solutions to Fractional Stochastic Relaxation Equations |
| title_full_unstemmed | Mean-Square Asymptotically Almost Automorphic Solutions to Fractional Stochastic Relaxation Equations |
| title_short | Mean-Square Asymptotically Almost Automorphic Solutions to Fractional Stochastic Relaxation Equations |
| title_sort | mean square asymptotically almost automorphic solutions to fractional stochastic relaxation equations |
| url | http://dx.doi.org/10.1155/2015/143591 |
| work_keys_str_mv | AT qiongwu meansquareasymptoticallyalmostautomorphicsolutionstofractionalstochasticrelaxationequations |