On Continuity of the Fractional Derivative of the Time-Fractional Semilinear Pseudo-Parabolic Systems
| dc.contributor.author | Ho Duy Binh | |
| dc.contributor.author | Nguyen Hoang Luc | |
| dc.contributor.author | Nguyen Huu Can | |
| dc.contributor.author | Karapinar, Erdal | |
| dc.date.accessioned | 2022-10-11T11:46:31Z | |
| dc.date.accessioned | 2025-09-18T13:26:45Z | |
| dc.date.available | 2022-10-11T11:46:31Z | |
| dc.date.available | 2025-09-18T13:26:45Z | |
| dc.date.issued | 2021 | |
| dc.description.abstract | In this work, we study an initial value problem for a system of nonlinear parabolic pseudo equations with Caputo fractional derivative. Here, we discuss the continuity which is related to a fractional order derivative. To overcome some of the difficulties of this problem, we need to evaluate the relevant quantities of the Mittag-Leffler function by constants independent of the derivative order. Moreover, we present an example to illustrate the theory. | en_US |
| dc.description.sponsorship | Thu Dau Mot University, Binh Duong, Vietnam | en_US |
| dc.description.sponsorship | This research is funded by Thu Dau Mot University, Binh Duong, Vietnam. The authors would like to thank the reviewers and editor for their constructive comments and valuable suggestions that improve the quality of this paper. | en_US |
| dc.identifier.citation | Karapınar, Erdal...et al. (2021). "On continuity of the fractional derivative of the time-fractional semilinear pseudo-parabolic systems", Advances in Difference Equations, Vol. 2021, No. 1. | en_US |
| dc.identifier.doi | 10.1186/s13662-021-03232-z | |
| dc.identifier.issn | 1687-1847 | |
| dc.identifier.scopus | 2-s2.0-85099746310 | |
| dc.identifier.uri | https://doi.org/10.1186/s13662-021-03232-z | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/12715 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer | en_US |
| dc.relation.ispartof | Advances in Difference Equations | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Initial Value Problem | en_US |
| dc.subject | Caputo Derivative | en_US |
| dc.subject | Nonlinear Fractional Pseudo-Parabolic Equation Systems | en_US |
| dc.subject | Regularity | en_US |
| dc.subject | 35K55 | en_US |
| dc.subject | 35K70 | en_US |
| dc.subject | 35K92 | en_US |
| dc.subject | 47A52 | en_US |
| dc.subject | 47J06 | en_US |
| dc.title | On Continuity of the Fractional Derivative of the Time-Fractional Semilinear Pseudo-Parabolic Systems | en_US |
| dc.title | On continuity of the fractional derivative of the time-fractional semilinear pseudo-parabolic systems | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.wosid | Nguyen, Can/R-4820-2018 | |
| gdc.author.wosid | Ho, Duy Binh/Gxg-9390-2022 | |
| gdc.author.wosid | Karapinar, Erdal/H-3177-2011 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Karapinar, Erdal; Ho Duy Binh; Nguyen Hoang Luc] Thu Dau Mot Univ, Div Appl Math, Thu Dau Mot, Binh Duong Prov, Vietnam; [Karapinar, Erdal] Cankaya Univ, Dept Math, Mimar Sinan Caddesi, TR-06790 Ankara, Turkey; [Karapinar, Erdal] China Med Univ, Dept Med Res, Hsueh Shih Rd, Taichung, Taiwan; [Ho Duy Binh] Univ Sci, Dept Math & Comp Sci, Ho Chi Minh City, Vietnam; [Ho Duy Binh] Vietnam Natl Univ, Ho Chi Minh City, Vietnam; [Nguyen Huu Can] Ton Duc Thang Univ, Fac Math & Stat, Appl Anal Res Grp, Ho Chi Minh City, Vietnam | en_US |
| gdc.description.issue | 1 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.volume | 2021 | en_US |
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| gdc.oaire.keywords | Regularity | |
| gdc.oaire.keywords | Initial value problem | |
| gdc.oaire.keywords | QA1-939 | |
| gdc.oaire.keywords | Nonlinear fractional pseudo-parabolic equation systems | |
| gdc.oaire.keywords | Caputo derivative | |
| gdc.oaire.keywords | Mathematics | |
| gdc.oaire.keywords | regularity | |
| gdc.oaire.keywords | Fractional derivatives and integrals | |
| gdc.oaire.keywords | nonlinear fractional pseudo-parabolic equation systems | |
| gdc.oaire.keywords | initial value problem | |
| gdc.oaire.keywords | Fractional partial differential equations | |
| gdc.oaire.keywords | Ultraparabolic equations, pseudoparabolic equations, etc. | |
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| gdc.virtual.author | Karapınar, Erdal | |
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