Analytical Approaches on the Attractivity of Solutions for Multiterm Fractional Functional Evolution Equations
The most important objective of the current research is to establish some theoretical existence and attractivity results of solutions for a novel nonlinear fractional functional evolution equations (FFEE) of Caputo type. In this respect, we use a familiar Schauder’s fixed-point theorem (SFPT) relate...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2022-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2022/5809285 |
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| _version_ | 1832554703671525376 |
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| author | Xiangling Li Azmat Ullah Khan Niazi Farva Hafeez Reny George Azhar Hussain |
| author_facet | Xiangling Li Azmat Ullah Khan Niazi Farva Hafeez Reny George Azhar Hussain |
| author_sort | Xiangling Li |
| collection | DOAJ |
| description | The most important objective of the current research is to establish some theoretical existence and attractivity results of solutions for a novel nonlinear fractional functional evolution equations (FFEE) of Caputo type. In this respect, we use a familiar Schauder’s fixed-point theorem (SFPT) related to the method of measure of noncompactness (MNC). Furthermore, we consider the operator E and show that it is invariant and continuous. Moreover, we provide an application to show the capability of the achieved results. |
| format | Article |
| id | doaj-art-55e61b026d13451284ea71f583683a39 |
| institution | Kabale University |
| issn | 2314-8888 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-55e61b026d13451284ea71f583683a392025-02-03T05:50:40ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/5809285Analytical Approaches on the Attractivity of Solutions for Multiterm Fractional Functional Evolution EquationsXiangling Li0Azmat Ullah Khan Niazi1Farva Hafeez2Reny George3Azhar Hussain4Department of Mathematics and PhysicsDepartment of Mathematics and StatisticsDepartment of Mathematics and StatisticsDepartment of MathematicsDepartment of MathematicsThe most important objective of the current research is to establish some theoretical existence and attractivity results of solutions for a novel nonlinear fractional functional evolution equations (FFEE) of Caputo type. In this respect, we use a familiar Schauder’s fixed-point theorem (SFPT) related to the method of measure of noncompactness (MNC). Furthermore, we consider the operator E and show that it is invariant and continuous. Moreover, we provide an application to show the capability of the achieved results.http://dx.doi.org/10.1155/2022/5809285 |
| spellingShingle | Xiangling Li Azmat Ullah Khan Niazi Farva Hafeez Reny George Azhar Hussain Analytical Approaches on the Attractivity of Solutions for Multiterm Fractional Functional Evolution Equations Journal of Function Spaces |
| title | Analytical Approaches on the Attractivity of Solutions for Multiterm Fractional Functional Evolution Equations |
| title_full | Analytical Approaches on the Attractivity of Solutions for Multiterm Fractional Functional Evolution Equations |
| title_fullStr | Analytical Approaches on the Attractivity of Solutions for Multiterm Fractional Functional Evolution Equations |
| title_full_unstemmed | Analytical Approaches on the Attractivity of Solutions for Multiterm Fractional Functional Evolution Equations |
| title_short | Analytical Approaches on the Attractivity of Solutions for Multiterm Fractional Functional Evolution Equations |
| title_sort | analytical approaches on the attractivity of solutions for multiterm fractional functional evolution equations |
| url | http://dx.doi.org/10.1155/2022/5809285 |
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