Solvability of system of Volterra integral equations via measure of noncompactness
نویسندگان
چکیده
In this article, we present some fixed point and coupled theorems adapted from the notion of F-contraction mappings in Banach spaces (B.S.) via measure noncompactness (M.N.C). Then define a new class generalized F-contractions, to upgrade results Falest Latrach (Bull Bell Math Soc Simon Stevin 22:797–812, 2015). Furthermore, investigate solvability system Volterra integral equations Algebra. Finally, usefulness theoretical is shown by an example.
منابع مشابه
existence and approximate $l^{p}$ and continuous solution of nonlinear integral equations of the hammerstein and volterra types
بسیاری از پدیده ها در جهان ما اساساً غیرخطی هستند، و توسط معادلات غیرخطی بیان شده اند. از آنجا که ظهور کامپیوترهای رقمی با عملکرد بالا، حل مسایل خطی را آسان تر می کند. با این حال، به طور کلی به دست آوردن جوابهای دقیق از مسایل غیرخطی دشوار است. روش عددی، به طور کلی محاسبه پیچیده مسایل غیرخطی را اداره می کند. با این حال، دادن نقاط به یک منحنی و به دست آوردن منحنی کامل که اغلب پرهزینه و ...
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ژورنال
عنوان ژورنال: Computational & Applied Mathematics
سال: 2021
ISSN: ['1807-0302', '2238-3603']
DOI: https://doi.org/10.1007/s40314-021-01552-0