بررسی وجود جواب برای معادله انتگرالی کسری با استفاده از اندازه نافشرد‏گی در فضای باناخ

نوع مقاله : مقاله پژوهشی

نویسنده

گروه ریاضی، دانشگاه آزاد اسلامی، واحد آشتیان، آشتیان، ایران

چکیده

در این مقاله، وجود جواب برای دسته ای از معادلات انتگرالی ول‎‏ترای غیر خطی کسری در فضای باناخ مورد بررسی قرار می گیرد. ابزار‏های اصلی مورد نیاز، تکنیک اندازه نا فشردگی و قضیه نقطه ثابت پترشن می باشند. همچنین، به منظور نشان دادن کاربردی بودن نتایج ، ‎‏چند مثال ارائه شده است.

کلیدواژه‌ها

موضوعات


عنوان مقاله [English]

On the existence of solutions for fractional integral equations by measure of non-compactness in Banach space

نویسنده [English]

  • Manochehr Kazemi
Department of Mathematics, Ashtian Branch, Islamic Azad University, Ashtian, Iran
چکیده [English]

‎In this paper‎, the existence of the solutions of a class of fractional integral equations in

Banach algebra, are investigated. The main tools here

are the technique of the measure of noncompactness and the Petryshyn's fixed point theorem. ‎Also‎, ‎for the applicability of the obtained results‎, ‎some‎ examples are given‎.

کلیدواژه‌ها [English]

  • Nonlinear fractional integral equations&lrm
  • Existence of solution&lrm
  • Measures of noncompactness&lrm
  • &lrm
  • Petryshyn'
  • s fixed point theorem
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