On a Class of Boundary Value Problems Under Abc Fractional Derivative
| dc.contributor.author | Jarad, Fahd | |
| dc.contributor.author | Gul, Rozi | |
| dc.contributor.author | Shah, Kamal | |
| dc.contributor.author | Khan, Zareen A. | |
| dc.date.accessioned | 2022-09-30T12:19:41Z | |
| dc.date.accessioned | 2025-09-18T13:26:06Z | |
| dc.date.available | 2022-09-30T12:19:41Z | |
| dc.date.available | 2025-09-18T13:26:06Z | |
| dc.date.issued | 2021 | |
| dc.description | Shah, Kamal/0000-0002-8851-4844 | en_US |
| dc.description.abstract | In this work, we establish some necessary results about existence theory to a class of boundary value problems (BVPs) of hybrid fractional differential equations (HFDEs) in the frame of Atangana-Baleanu-Caputo (ABC) fractional derivative. Making use of Krasnoselskii and Banach theorems, we obtain the required conditions. Some appropriate results of Hyers-Ulam (H-U) stability corresponding to the considered problem are also established. Also a pertinent example is given to demonstrate the results. | en_US |
| dc.description.sponsorship | Deanship of Scientific Research at Princess Nourah bint Abdulrahman University through the Fast-track Research Funding Program | en_US |
| dc.description.sponsorship | This research was funded by the Deanship of Scientific Research at Princess Nourah bint Abdulrahman University through the Fast-track Research Funding Program. | en_US |
| dc.identifier.citation | Gul, Rozi...et al. (2021). "On a class of boundary value problems under ABC fractional derivative", Advances in Difference Equations, Vol. 2021, No. 1. | en_US |
| dc.identifier.doi | 10.1186/s13662-021-03595-3 | |
| dc.identifier.issn | 1687-1847 | |
| dc.identifier.scopus | 2-s2.0-85116382092 | |
| dc.identifier.uri | https://doi.org/10.1186/s13662-021-03595-3 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/12507 | |
| 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 | Abc Fractional Order Derivative | en_US |
| dc.subject | Hfdes | en_US |
| dc.subject | Krasnoselskii And Banach Theorems | en_US |
| dc.subject | Stability | en_US |
| dc.title | On a Class of Boundary Value Problems Under Abc Fractional Derivative | en_US |
| dc.title | On a class of boundary value problems under ABC fractional derivative | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.wosid | Khan, Zareen/Gqq-2155-2022 | |
| gdc.author.wosid | Jarad, Fahd/T-8333-2018 | |
| gdc.author.wosid | Shah, Kamal/S-8662-2016 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Gul, Rozi; Shah, Kamal] Univ Malakand, Dept Math, Dir L, Khyber Pakhtunk, Pakistan; [Khan, Zareen A.] Princess Nourah Bint Abdulrahman Univ, Fac Sci, Dept Math Sci, POB 84428, Riyadh 11671, Saudi Arabia; [Jarad, Fahd] Cankaya Univ, Dept Math, Ankara, Turkey; [Jarad, Fahd] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung, Taiwan | 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 | HFDEs | |
| gdc.oaire.keywords | Nonlocal Partial Differential Equations and Boundary Value Problems | |
| gdc.oaire.keywords | Fractional Derivatives | |
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| gdc.oaire.keywords | Fractional derivatives and integrals | |
| gdc.oaire.keywords | Applications of operator theory to differential and integral equations | |
| gdc.oaire.keywords | fractional order derivative | |
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