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On the Solvability of Mixed-Type Fractional-Order Non-Linear Functional Integral Equations in the Banach Space C(I)

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dc.contributor.author Pathak, Vijai Kumar
dc.contributor.author Mishra, Lakshmi Narayan
dc.contributor.author Mishra, Vishnu Narayan
dc.contributor.author Baleanu, Dumitru
dc.date.accessioned 2024-04-30T12:04:30Z
dc.date.available 2024-04-30T12:04:30Z
dc.date.issued 2022-12
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. tr_TR
dc.identifier.issn 25043110
dc.identifier.uri http://hdl.handle.net/20.500.12416/8105
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 ((Formula presented.))-Riemann–Liouville along with Erdélyi–Kober fractional operators on a Banach space (Formula presented.) 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 tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.3390/fractalfract6120744 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Banach Space tr_TR
dc.subject Darbo’s Fixed-Point Theorem tr_TR
dc.subject Fractional Operators tr_TR
dc.subject Functional Integral Equations tr_TR
dc.subject Measure Of Non-Compactness tr_TR
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 tr_TR
dc.relation.journal Fractal and Fractional tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 6 tr_TR
dc.identifier.issue 12 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü tr_TR


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