{"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"],"_links":{"self":[{"href":"https:\/\/journal.ziu.edu.sy\/index.php?rest_route=\/wp\/v2\/posts\/2371","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/journal.ziu.edu.sy\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/journal.ziu.edu.sy\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/journal.ziu.edu.sy\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/journal.ziu.edu.sy\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=2371"}],"version-history":[{"count":1,"href":"https:\/\/journal.ziu.edu.sy\/index.php?rest_route=\/wp\/v2\/posts\/2371\/revisions"}],"predecessor-version":[{"id":2372,"href":"https:\/\/journal.ziu.edu.sy\/index.php?rest_route=\/wp\/v2\/posts\/2371\/revisions\/2372"}],"wp:attachment":[{"href":"https:\/\/journal.ziu.edu.sy\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=2371"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/journal.ziu.edu.sy\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=2371"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/journal.ziu.edu.sy\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=2371"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}