Nonlocal Cauchy Problem for Nonautonomous Fractional Evolution Equations
<p/> <p>We investigate the mild solutions of a nonlocal Cauchy problem for nonautonomous fractional evolution equations <inline-formula><graphic file="1687-1847-2011-483816-i1.gif"/></inline-formula>, <inline-formula><graphic file="1687-1847-2011...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2011-01-01
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| Series: | Advances in Difference Equations |
| Online Access: | http://www.advancesindifferenceequations.com/content/2011/483816 |
| _version_ | 1811278501819449344 |
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| author | Xiao Fei |
| author_facet | Xiao Fei |
| author_sort | Xiao Fei |
| collection | DOAJ |
| description | <p/> <p>We investigate the mild solutions of a nonlocal Cauchy problem for nonautonomous fractional evolution equations <inline-formula><graphic file="1687-1847-2011-483816-i1.gif"/></inline-formula>, <inline-formula><graphic file="1687-1847-2011-483816-i2.gif"/></inline-formula>, in Banach spaces, where <inline-formula><graphic file="1687-1847-2011-483816-i3.gif"/></inline-formula>, <inline-formula><graphic file="1687-1847-2011-483816-i4.gif"/></inline-formula>. New results are obtained by using Sadovskii's fixed point theorem and the Banach contraction mapping principle. An example is also given.</p> |
| first_indexed | 2024-04-13T00:37:04Z |
| format | Article |
| id | doaj.art-be920aca9d20442f929bcd636cb64cb2 |
| institution | Directory Open Access Journal |
| issn | 1687-1839 1687-1847 |
| language | English |
| last_indexed | 2024-04-13T00:37:04Z |
| publishDate | 2011-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Advances in Difference Equations |
| spelling | doaj.art-be920aca9d20442f929bcd636cb64cb22022-12-22T03:10:18ZengSpringerOpenAdvances in Difference Equations1687-18391687-18472011-01-0120111483816Nonlocal Cauchy Problem for Nonautonomous Fractional Evolution EquationsXiao Fei<p/> <p>We investigate the mild solutions of a nonlocal Cauchy problem for nonautonomous fractional evolution equations <inline-formula><graphic file="1687-1847-2011-483816-i1.gif"/></inline-formula>, <inline-formula><graphic file="1687-1847-2011-483816-i2.gif"/></inline-formula>, in Banach spaces, where <inline-formula><graphic file="1687-1847-2011-483816-i3.gif"/></inline-formula>, <inline-formula><graphic file="1687-1847-2011-483816-i4.gif"/></inline-formula>. New results are obtained by using Sadovskii's fixed point theorem and the Banach contraction mapping principle. An example is also given.</p>http://www.advancesindifferenceequations.com/content/2011/483816 |
| spellingShingle | Xiao Fei Nonlocal Cauchy Problem for Nonautonomous Fractional Evolution Equations Advances in Difference Equations |
| title | Nonlocal Cauchy Problem for Nonautonomous Fractional Evolution Equations |
| title_full | Nonlocal Cauchy Problem for Nonautonomous Fractional Evolution Equations |
| title_fullStr | Nonlocal Cauchy Problem for Nonautonomous Fractional Evolution Equations |
| title_full_unstemmed | Nonlocal Cauchy Problem for Nonautonomous Fractional Evolution Equations |
| title_short | Nonlocal Cauchy Problem for Nonautonomous Fractional Evolution Equations |
| title_sort | nonlocal cauchy problem for nonautonomous fractional evolution equations |
| url | http://www.advancesindifferenceequations.com/content/2011/483816 |
| work_keys_str_mv | AT xiaofei nonlocalcauchyproblemfornonautonomousfractionalevolutionequations |