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solvability and numerical method for non-linear volterra integral equations by using petryshyn’s fixed point theorem
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نویسنده
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deep amar ,kumar ashish ,abbas syed ,rabbani mohsen
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منبع
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international journal of nonlinear analysis and applications - 2022 - دوره : 13 - شماره : 1 - صفحه:1 -14
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چکیده
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In this paper, utilizing the technique of petryshyn’s fixed point theorem in banach algebra, we analyze the existence of solution for functional integral equations, which includes as special cases many functional integral equations that arise in various branches of non-linear analysis and its application. finally, we introduce the numerical method formed by modified homotopy perturbation approach to resolving the problem with acceptable accuracy.
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کلیدواژه
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fixed point theorem ,measure of non-compactness (mnc) ,banach algebra ,functional integral equation (fie) ,modified homotopy perturbation (mhp)
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آدرس
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pandit dwarka prasad mishra (pdpm)-indian institute of information technology, design and manufacturing (iiitdm), india, govt. pg college, department of mathematics, india, indian institutes of technology (iit), school of basic sciences, india, islamic azad university, sari branch, department of mathematics, iran
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پست الکترونیکی
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mrabbani@iausari.ac.ir
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Authors
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