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on the existence of solution to a class of nonlinear functional integral equations with two variables
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نویسنده
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deep amar ,rabbani mohsen ,kumar shubham ,aghazadeh nasser
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منبع
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international journal of nonlinear analysis and applications - 2026 - دوره : 17 - شماره : 1 - صفحه:115 -126
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چکیده
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In this article, the existence of a solution for non-linear functional integral equations with two variables is considered in banach space c([0, b] × [0, c]) by applying petryshyn’s fixed point theorem. our focus extends to diverse instances of functional integral equations encountered within mathematical analysis. our study’s effectiveness is demonstrated through an example. furthermore, to confirm the reliability of our proposed approach, we introduce an iterative algorithm via sinc interpolation, which effectively achieves a precise, approximate solution.
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کلیدواژه
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fixed point theorem (fpt) ,measure of non-compactness (mnc) ,functional integral equation
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آدرس
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indian institute of information technology, design and manufacturing (iiitdm), india, islamic azad university, sari branch, department of applied mathematics, iran, indian institute of information technology, design and manufacturing (iiitdm), india, izmir institute of technology, department of mathematics, turkey
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پست الکترونیکی
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nasseraghazadeh@iyte.edu.tr
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Authors
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