Qualitative Analysis of Nonlinear Hilfer Fractional Implicit Differential Equations in a Banach Space
| dc.contributor.author | Dhawan, K. | |
| dc.contributor.author | Vats, R.K. | |
| dc.contributor.author | Karapinar, E. | |
| dc.date.accessioned | 2025-05-13T11:53:52Z | |
| dc.date.available | 2025-05-13T11:53:52Z | |
| dc.date.issued | 2023 | |
| dc.description.abstract | This article focuses on the class of nonlinear implicit Hilfer-type fractional differential equations. By using the non-linear growth condition, we have derived the existence of at least one solution by applying Schauder’s fixed point theorem and using Lipschitz conditions, we have derived the uniqueness of the solution with the help of the Banach contraction principle. In addition, we have discussed the stability analysis by using Ulam-Hyers and Ulam-Hyers-Rassias stabilities. All results of this paper are established in a Banach space instead of R. We illustrate our results with the help of two examples. © 2023, DergiPark. All rights reserved. | en_US |
| dc.description.sponsorship | Council of Scientific and Industrial Research, India, CSIR, (– 25(0321)/23/EMR-II); Council of Scientific and Industrial Research, India, CSIR | en_US |
| dc.identifier.doi | 10.17762/atnaa.v7.i5.331 | |
| dc.identifier.issn | 2587-2648 | |
| dc.identifier.scopus | 2-s2.0-85190248086 | |
| dc.identifier.uri | https://doi.org/10.17762/atnaa.v7.i5.331 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/9737 | |
| dc.language.iso | en | en_US |
| dc.publisher | DergiPark | en_US |
| dc.relation.ispartof | Advances in the Theory of Nonlinear Analysis and its Applications | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Fixed Point Theorems | en_US |
| dc.subject | Hilfer Fractional Derivative | en_US |
| dc.subject | Implicit Differential Equations | en_US |
| dc.subject | Ulam’S Stability | en_US |
| dc.title | Qualitative Analysis of Nonlinear Hilfer Fractional Implicit Differential Equations in a Banach Space | en_US |
| dc.type | Article | en_US |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | Dhawan K., Yogananda School of AI, Computer and Data Science Shoolini University, Solan, Himachal Pradesh, Bajhol, 173229, India; Vats R.K., Yogananda School of AI, Computer and Data Science Shoolini University, Solan, Himachal Pradesh, Bajhol, 173229, India, Department of Mathematics & Scientific Computing, National Institute of Technology, H.P., Hamirpur, 177005, India; Karapinar E., Çankaya University, Department of Mathematics, Ankara, Turkey | en_US |
| gdc.description.endpage | 154 | en_US |
| gdc.description.issue | 5 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q2 | |
| gdc.description.startpage | 141 | en_US |
| gdc.description.volume | 7 | en_US |
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| gdc.virtual.author | Karapınar, Erdal | |
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