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Analysis of mixed type nonlinear Volterra–Fredholm integral equations involving the Erdélyi–Kober fractional operator

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dc.contributor.author Paul, Supriya Kumar
dc.contributor.author Mishra, Lakshmi Narayan
dc.contributor.author Mishra, Vishnu Narayan
dc.contributor.author Baleanu, Dumitru
dc.date.accessioned 2024-05-28T13:27:50Z
dc.date.available 2024-05-28T13:27:50Z
dc.date.issued 2023-12
dc.identifier.citation Paul, Supriya Kumar...et al. (2023). "Analysis of mixed type nonlinear Volterra–Fredholm integral equations involving the Erdélyi–Kober fractional operator", Journal of King Saud University - Science, Vol. 35, No. 10. tr_TR
dc.identifier.issn 1018-3647
dc.identifier.uri http://hdl.handle.net/20.500.12416/8417
dc.description.abstract This paper investigates the existence, uniqueness and stability of solutions to the nonlinear Volterra–Fredholm integral equations (NVFIE) involving the Erdélyi–Kober (E–K) fractional integral operator. We use the Leray–Schauder alternative and Banach's fixed point theorem to examine the existence and uniqueness of solutions, and we also explore Hyers–Ulam (H–U) and Hyers–Ulam–Rassias (H–U–R) stability in the space C([0,β],R). Furthermore, three solution sets Uσ,λ, Uθ,1 and U1,1 are constructed for σ>0, λ>0, and θ∈(0,1), and then we obtain local stability of the solutions with some ideal conditions and by using Schauder fixed point theorem on these three sets, respectively. Also, to achieve the goal, we choose the parameters for the NVFIE as δ∈( [Formula presented], 1), ρ∈(0,1), γ>0. Three examples are provided to clarify the results. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.1016/j.jksus.2023.102949 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Erdélyi–Kober Fractional Integral Operator tr_TR
dc.subject Fixed Point Theorem tr_TR
dc.subject Hyers–Ulam Stability tr_TR
dc.subject Hyers–Ulam–Rassias Stability tr_TR
dc.subject Local Stability tr_TR
dc.title Analysis of mixed type nonlinear Volterra–Fredholm integral equations involving the Erdélyi–Kober fractional operator tr_TR
dc.type article tr_TR
dc.relation.journal Journal of King Saud University - Science tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 35 tr_TR
dc.identifier.issue 10 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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