Perturbation Results and Monotone Iterative Technique for Fractional Evolution Equations
We mainly study the fractional evolution equation in an ordered Banach space 𝑋𝐶𝐷𝑎0+𝑢(𝑡)+𝐴𝑢(𝑡)=𝑓(𝑡,𝑢(𝑡),𝐺𝑢(𝑡)) , 1<𝛼<2, 𝑢(0)=𝑥∈𝑋, 𝑢(0)=𝜃. Using the monotone iterative technique based on lower and upper solutions, the existence and uniqueness results are obtained. The necessary perturbation res...
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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2011/968735 |
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| author | Jia Mu |
| author_facet | Jia Mu |
| author_sort | Jia Mu |
| collection | DOAJ |
| description | We mainly study the fractional evolution equation in an ordered Banach
space 𝑋𝐶𝐷𝑎0+𝑢(𝑡)+𝐴𝑢(𝑡)=𝑓(𝑡,𝑢(𝑡),𝐺𝑢(𝑡))
, 1<𝛼<2, 𝑢(0)=𝑥∈𝑋, 𝑢(0)=𝜃. Using the monotone iterative technique based on lower and upper solutions, the existence
and uniqueness results are obtained. The necessary perturbation results for accomplishing
this approach are also developed. |
| format | Article |
| id | doaj-art-10469233892a42c788cda3c68e00db51 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-10469233892a42c788cda3c68e00db512025-02-03T00:59:09ZengWileyAbstract and Applied Analysis1085-33751687-04092011-01-01201110.1155/2011/968735968735Perturbation Results and Monotone Iterative Technique for Fractional Evolution EquationsJia Mu0Department of Mathematics, Northwest Normal University, Lanzhou, Gansu 730000, ChinaWe mainly study the fractional evolution equation in an ordered Banach space 𝑋𝐶𝐷𝑎0+𝑢(𝑡)+𝐴𝑢(𝑡)=𝑓(𝑡,𝑢(𝑡),𝐺𝑢(𝑡)) , 1<𝛼<2, 𝑢(0)=𝑥∈𝑋, 𝑢(0)=𝜃. Using the monotone iterative technique based on lower and upper solutions, the existence and uniqueness results are obtained. The necessary perturbation results for accomplishing this approach are also developed.http://dx.doi.org/10.1155/2011/968735 |
| spellingShingle | Jia Mu Perturbation Results and Monotone Iterative Technique for Fractional Evolution Equations Abstract and Applied Analysis |
| title | Perturbation Results and Monotone Iterative Technique for Fractional Evolution Equations |
| title_full | Perturbation Results and Monotone Iterative Technique for Fractional Evolution Equations |
| title_fullStr | Perturbation Results and Monotone Iterative Technique for Fractional Evolution Equations |
| title_full_unstemmed | Perturbation Results and Monotone Iterative Technique for Fractional Evolution Equations |
| title_short | Perturbation Results and Monotone Iterative Technique for Fractional Evolution Equations |
| title_sort | perturbation results and monotone iterative technique for fractional evolution equations |
| url | http://dx.doi.org/10.1155/2011/968735 |
| work_keys_str_mv | AT jiamu perturbationresultsandmonotoneiterativetechniqueforfractionalevolutionequations |