{"id":2371,"date":"2022-12-25T14:41:38","date_gmt":"2022-12-25T14:41:38","guid":{"rendered":"http:\/\/journal.ziu-university.net\/?p=2371"},"modified":"2022-12-25T14:41:39","modified_gmt":"2022-12-25T14:41:39","slug":"on-a-coupled-system-of-volterra-stieltjes-functional-integralequations","status":"publish","type":"post","link":"https:\/\/journal.ziu.edu.sy\/?p=2371","title":{"rendered":"On a coupled system of Volterra-Stieltjes functional integralEquations"},"content":{"rendered":"\n<p class=\"has-text-align-left wp-block-paragraph\"> : <strong>Abstract<\/strong><\/p>\n\n\n\n<p class=\"has-text-align-left wp-block-paragraph\">Volterra-Stieltjes integral operators and Volterra-Stieltjes integral equations have been studied (see [1]-[9]). The coupled system of integral equations have been studied, recently, by some authors (see [11]-[13]). Our aim here is to study the existence of at least one solution for a coupled system of nonlinear functional integral equations of Volterra-Stieltjes type in the space of continuous functions. The main tool utilized in our considerations is the technique associated with the Schauder fixed point theorem. <\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Keywords :<\/strong> Coupled system, continuous solution, Stieltjes integral, Schauder fixed point theorem<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>\u0627\u0639\u062f\u0627\u062f : Naema.A. Elabd<\/strong> <\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Faculty of Science, Derna University, Libya<\/p>\n\r\n\t\t<div class=\"review_wrap\">\r\n\t\t\t<div id=\"review-box\" class=\"review-box review-bottom review-stars\">\r\n\t\t\t\t<div class=\"review-summary\">\r\n\t\t\t\t\t<div class=\"review-final-score\">\r\n\t\t\t\t\t\t<span title=\"\" class=\"post-large-rate stars-large\"><span style=\"width:0%\"><\/span><\/span>\r\n\t\t\t\t\t\t<h4><\/h4>\r\n\t\t\t\t\t<\/div>\r\n\t\t\t\t\r\n\t\t\t\t<div class=\"review-short-summary\"><a href=\"https:\/\/drive.google.com\/file\/d\/1Z1Fo6Y3Rt3LWcNpTpXLgrJcMS1QrLAR7\/view?usp=sharing\" class=\"taq-button taq-medium taq-square taq-flat\" style=\"background-color:#a0ce4e\" target=\"_blank\"><i class=\"fa fa-download\"><\/i><span class=\"button-text\">\u062a\u062d\u0645\u064a\u0644<\/span><\/a>\r\n\t\t\t\t<\/div>\r\n\t\t\t<\/div>\r\n\t\t\t\r\n\t\t\t<div class=\"user-rate-wrap\">\r\n\t\t\t\t<span class=\"user-rating-text\">\r\n\t\t\t\t\t<strong>\u062a\u0642\u064a\u064a\u0645 \u0627\u0644\u0645\u0633\u062a\u062e\u062f\u0645\u0648\u0646: <\/strong>\r\n\t\t\t\t\t<span class=\"taq-score\"><\/span>\r\n\t\t\t\t\t<small>\u0643\u0646 \u0623\u0648\u0644 \u0627\u0644\u0645\u0635\u0648\u062a\u0648\u0646 !<\/small>\r\n\t\t\t\t<\/span>\r\n\r\n\t\t\t\t<div data-rate=\"0\" data-id=\"2371\" class=\"user-rate taq-user-rate-active\">\r\n\t\t\t\t\t<span class=\"user-rate-image post-large-rate stars-large\">\r\n\t\t\t\t\t\t<span style=\"width:0%\"><\/span>\r\n\t\t\t\t\t<\/span>\r\n\t\t\t\t<\/div>\r\n\r\n\t\t\t\t<div class=\"taq-clear\"><\/div>\r\n\r\n\t\t\t<\/div>\r\n\t\t<\/div>\r\n\t<\/div>","protected":false},"excerpt":{"rendered":"<p>: Abstract Volterra-Stieltjes integral operators and Volterra-Stieltjes integral equations have been studied (see [1]-[9]). The coupled system of integral equations have been studied, recently, by some authors (see [11]-[13]). Our aim here is to study the existence of at least one solution for a coupled system of nonlinear functional integral equations of Volterra-Stieltjes type in &hellip;<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[76],"tags":[],"class_list":["post-2371","post","type-post","status-publish","format-standard","","category-76"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.7 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\r\n<title>On a coupled system of Volterra-Stieltjes functional integralEquations - \u0645\u062c\u0644\u0629 \u062c\u0627\u0645\u0639\u0629 \u0627\u0644\u0632\u064a\u062a\u0648\u0646\u0629 \u0627\u0644\u062f\u0648\u0644\u064a\u0629 \u0644\u0644\u0646\u0634\u0631 \u0627\u0644\u0639\u0644\u0645\u064a<\/title>\r\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\r\n<link rel=\"canonical\" href=\"https:\/\/journal.ziu.edu.sy\/?p=2371\" \/>\r\n<meta property=\"og:locale\" content=\"ar_AR\" \/>\r\n<meta property=\"og:type\" content=\"article\" \/>\r\n<meta property=\"og:title\" content=\"On a coupled system of Volterra-Stieltjes functional integralEquations - \u0645\u062c\u0644\u0629 \u062c\u0627\u0645\u0639\u0629 \u0627\u0644\u0632\u064a\u062a\u0648\u0646\u0629 \u0627\u0644\u062f\u0648\u0644\u064a\u0629 \u0644\u0644\u0646\u0634\u0631 \u0627\u0644\u0639\u0644\u0645\u064a\" \/>\r\n<meta property=\"og:description\" content=\": Abstract Volterra-Stieltjes integral operators and Volterra-Stieltjes integral equations have been studied (see [1]-[9]). The coupled system of integral equations have been studied, recently, by some authors (see [11]-[13]). Our aim here is to study the existence of at least one solution for a coupled system of nonlinear functional integral equations of Volterra-Stieltjes type in &hellip;\" \/>\r\n<meta property=\"og:url\" content=\"https:\/\/journal.ziu.edu.sy\/?p=2371\" \/>\r\n<meta property=\"og:site_name\" content=\"\u0645\u062c\u0644\u0629 \u062c\u0627\u0645\u0639\u0629 \u0627\u0644\u0632\u064a\u062a\u0648\u0646\u0629 \u0627\u0644\u062f\u0648\u0644\u064a\u0629 \u0644\u0644\u0646\u0634\u0631 \u0627\u0644\u0639\u0644\u0645\u064a\" \/>\r\n<meta property=\"article:published_time\" content=\"2022-12-25T14:41:38+00:00\" \/>\r\n<meta property=\"article:modified_time\" content=\"2022-12-25T14:41:39+00:00\" \/>\r\n<meta name=\"author\" content=\"admin\" \/>\r\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\r\n<meta name=\"twitter:label1\" content=\"\u0643\u064f\u062a\u0628 \u0628\u0648\u0627\u0633\u0637\u0629\" \/>\n\t<meta name=\"twitter:data1\" content=\"admin\" \/>\n\t<meta name=\"twitter:label2\" content=\"\u0648\u0642\u062a \u0627\u0644\u0642\u0631\u0627\u0621\u0629 \u0627\u0644\u0645\u064f\u0642\u062f\u0651\u0631\" \/>\n\t<meta name=\"twitter:data2\" content=\"\u062f\u0642\u064a\u0642\u0629 \u0648\u0627\u062d\u062f\u0629\" \/>\r\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\\\/\\\/journal.ziu.edu.sy\\\/?p=2371#article\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/journal.ziu.edu.sy\\\/?p=2371\"},\"author\":{\"name\":\"admin\",\"@id\":\"https:\\\/\\\/journal.ziu.edu.sy\\\/#\\\/schema\\\/person\\\/73a3c191f058bdb2d01e5ae43eb65dba\"},\"headline\":\"On a coupled system of Volterra-Stieltjes functional integralEquations\",\"datePublished\":\"2022-12-25T14:41:38+00:00\",\"dateModified\":\"2022-12-25T14:41:39+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\\\/\\\/journal.ziu.edu.sy\\\/?p=2371\"},\"wordCount\":104,\"commentCount\":0,\"articleSection\":[\"\u0627\u0644\u0639\u062f\u062f \u0627\u0644\u0631\u0627\u0628\u0639\"],\"inLanguage\":\"ar\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\\\/\\\/journal.ziu.edu.sy\\\/?p=2371#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/journal.ziu.edu.sy\\\/?p=2371\",\"url\":\"https:\\\/\\\/journal.ziu.edu.sy\\\/?p=2371\",\"name\":\"On a coupled system of Volterra-Stieltjes functional integralEquations - 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