Rapid Convergence of Approximate Solutions for Fractional Differential Equations
In this paper, we develop a generalized quasilinearization technique for a class of Caputo’s fractional differential equations when the forcing function is the sum of hyperconvex and hyperconcave functions of order m (m≥0), and we obtain the convergence of the sequences of approximate solutions by e...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2020-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2020/5370524 |
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| _version_ | 1832560873588129792 |
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| author | Xiran Wu Junyan Bao Yufeng Sun |
| author_facet | Xiran Wu Junyan Bao Yufeng Sun |
| author_sort | Xiran Wu |
| collection | DOAJ |
| description | In this paper, we develop a generalized quasilinearization technique for a class of Caputo’s fractional differential equations when the forcing function is the sum of hyperconvex and hyperconcave functions of order m (m≥0), and we obtain the convergence of the sequences of approximate solutions by establishing the convergence of order k (k≥2). |
| format | Article |
| id | doaj-art-69c72ca82dd04834b18fc2f267ec997c |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-69c72ca82dd04834b18fc2f267ec997c2025-02-03T01:26:25ZengWileyJournal of Function Spaces2314-88962314-88882020-01-01202010.1155/2020/53705245370524Rapid Convergence of Approximate Solutions for Fractional Differential EquationsXiran Wu0Junyan Bao1Yufeng Sun2College of Mathematics and Information Science, Hebei University, Baoding 071002, ChinaCollege of Mathematics and Information Science, Hebei University, Baoding 071002, ChinaSchool of Mathematics and Statistics, Shaoguan University, Shaoguan 512005, ChinaIn this paper, we develop a generalized quasilinearization technique for a class of Caputo’s fractional differential equations when the forcing function is the sum of hyperconvex and hyperconcave functions of order m (m≥0), and we obtain the convergence of the sequences of approximate solutions by establishing the convergence of order k (k≥2).http://dx.doi.org/10.1155/2020/5370524 |
| spellingShingle | Xiran Wu Junyan Bao Yufeng Sun Rapid Convergence of Approximate Solutions for Fractional Differential Equations Journal of Function Spaces |
| title | Rapid Convergence of Approximate Solutions for Fractional Differential Equations |
| title_full | Rapid Convergence of Approximate Solutions for Fractional Differential Equations |
| title_fullStr | Rapid Convergence of Approximate Solutions for Fractional Differential Equations |
| title_full_unstemmed | Rapid Convergence of Approximate Solutions for Fractional Differential Equations |
| title_short | Rapid Convergence of Approximate Solutions for Fractional Differential Equations |
| title_sort | rapid convergence of approximate solutions for fractional differential equations |
| url | http://dx.doi.org/10.1155/2020/5370524 |
| work_keys_str_mv | AT xiranwu rapidconvergenceofapproximatesolutionsforfractionaldifferentialequations AT junyanbao rapidconvergenceofapproximatesolutionsforfractionaldifferentialequations AT yufengsun rapidconvergenceofapproximatesolutionsforfractionaldifferentialequations |