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

التفاصيل البيبلوغرافية
العنوان: Analysis of mixed type nonlinear Volterra–Fredholm integral equations involving the Erdélyi–Kober fractional operator
المؤلفون: Supriya Kumar Paul, Lakshmi Narayan Mishra, Vishnu Narayan Mishra, Dumitru Baleanu
المصدر: Journal of King Saud University: Science, Vol 35, Iss 10, Pp 102949- (2023)
بيانات النشر: Elsevier, 2023.
سنة النشر: 2023
المجموعة: LCC:Science (General)
مصطلحات موضوعية: Erdélyi–Kober fractional integral operator, Hyers–Ulam–Rassias stability, Hyers–Ulam stability, Local stability, Fixed point theorem, Science (General), Q1-390
الوصف: 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∈(12,1), ρ∈(0,1), γ>0. Three examples are provided to clarify the results.
نوع الوثيقة: article
وصف الملف: electronic resource
اللغة: English
تدمد: 1018-3647
Relation: http://www.sciencedirect.com/science/article/pii/S1018364723004111; https://doaj.org/toc/1018-3647
DOI: 10.1016/j.jksus.2023.102949
URL الوصول: https://doaj.org/article/6a8630cef53540e6a443632709843fa1
رقم الأكسشن: edsdoj.6a8630cef53540e6a443632709843fa1
قاعدة البيانات: Directory of Open Access Journals
الوصف
تدمد:10183647
DOI:10.1016/j.jksus.2023.102949