On the Solvability of Mixed-Type Fractional-Order Non-Linear Functional Integral Equations in the Banach Space C(I)
| dc.contributor.author | Mishra, Lakshmi Narayan | |
| dc.contributor.author | Mishra, Vishnu Narayan | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Pathak, Vijai Kumar | |
| dc.date.accessioned | 2024-04-30T12:04:30Z | |
| dc.date.accessioned | 2025-09-18T12:49:42Z | |
| dc.date.available | 2024-04-30T12:04:30Z | |
| dc.date.available | 2025-09-18T12:49:42Z | |
| dc.date.issued | 2022 | |
| dc.description | Mishra, Lakshmi Narayan/0000-0001-7774-7290; Pathak, Vijai Kumar/0000-0003-2477-6666; Mishra, Vishnu Narayan/0000-0002-2159-7710 | en_US |
| dc.description.abstract | This paper is concerned with the existence of the solution to mixed-type non-linear fractional functional integral equations involving generalized proportional (kappa,phi)-Riemann-Liouville along with Erdelyi-Kober fractional operators on a Banach space C([1,T]) arising in biological population dynamics. The key findings of the article are based on theoretical concepts pertaining to the fractional calculus and the Hausdorff measure of non-compactness (MNC). To obtain this goal, we employ Darbo's fixed-point theorem (DFPT) in the Banach space. In addition, we provide two numerical examples to demonstrate the applicability of our findings to the theory of fractional integral equations. | en_US |
| dc.identifier.citation | Pathak, Vijai Kumar;...et.al. (2022). "On the Solvability of Mixed-Type Fractional-Order Non-Linear Functional Integral Equations in the Banach Space C(I)", Fractal and Fractional, Vol.6, No.12. | en_US |
| dc.identifier.doi | 10.3390/fractalfract6120744 | |
| dc.identifier.issn | 2504-3110 | |
| dc.identifier.scopus | 2-s2.0-85144700445 | |
| dc.identifier.uri | https://doi.org/10.3390/fractalfract6120744 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/12452 | |
| dc.language.iso | en | en_US |
| dc.publisher | Mdpi | en_US |
| dc.relation.ispartof | Fractal and Fractional | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Measure Of Non-Compactness | en_US |
| dc.subject | Functional Integral Equations | en_US |
| dc.subject | Darbo'S Fixed-Point Theorem | en_US |
| dc.subject | Fractional Operators | en_US |
| dc.subject | Banach Space | en_US |
| dc.title | On the Solvability of Mixed-Type Fractional-Order Non-Linear Functional Integral Equations in the Banach Space C(I) | en_US |
| dc.title | On the Solvability of Mixed-Type Fractional-Order Non-Linear Functional Integral Equations in the Banach Space C(I) | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Mishra, Lakshmi Narayan/0000-0001-7774-7290 | |
| gdc.author.id | Pathak, Vijai Kumar/0000-0003-2477-6666 | |
| gdc.author.id | Mishra, Vishnu Narayan/0000-0002-2159-7710 | |
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| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Pathak, Dr. Vijai/Abt-8842-2022 | |
| gdc.author.wosid | Mishra, Vishnu/Afj-7587-2022 | |
| gdc.author.wosid | Mishra, Lakshmi Narayan/O-8113-2017 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Pathak, Vijai Kumar; Mishra, Lakshmi Narayan] Vellore Inst Technol, Sch Adv Sci, Dept Math, Vellore 632014, Tamil Nadu, India; [Mishra, Vishnu Narayan] Indira Gandhi Natl Tribal Univ, Dept Math, Amarkantak 484887, Madhya Pradesh, India; [Baleanu, Dumitru] Cankaya Univ, Fac Arts & Sci, Dept Math, TR-09790 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Magurele 077125, Ilfov, Romania; [Baleanu, Dumitru] Lebanese Amer Univ, Sch Arts & Sci, Dept Nat Sci, Beirut 11022, Lebanon | en_US |
| gdc.description.issue | 12 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 744 | |
| gdc.description.volume | 6 | en_US |
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| gdc.oaire.keywords | Banach space | |
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