بررسی جواب معادله انتگرالی کسری تطبیقی با اندازه نافشردگی و روش نقطه ثابت

کاظمی, منوچهر; صاحبی, حمید رضا; سامعی, محمد اسماعیل

doi:10.22055/jamm.2026.51592.2467

بررسی جواب معادله انتگرالی کسری تطبیقی با اندازه نافشردگی و روش نقطه ثابت

مقالات آماده انتشار

نوع مقاله : مقاله پژوهشی

نویسندگان

منوچهر کاظمی ¹

حمید رضا صاحبی ²

محمد اسماعیل سامعی ³

¹ گروه ریاضی، دانشگاه آزاد اسلامی واحد آشتیان، آشتیان، ایران

² دانشگاه آزاد آشتیان

³ گروه ریاضی، دانشکده علوم پایه، دانشگاه بوعلی سینا، همئدان، ایران

10.22055/jamm.2026.51592.2467

چکیده

This study seeks to explore the solutions of a class of non-linear equations via fractional conformable integral in the defined Banach space of continuous functions‎. ‎In this setting‎, ‎employing the technique of noncompactness measures‎, ‎we utilize Petryshyn's fixed point theorem to establish the existence of solutions for this particular fractional equation under specific weaker conditions related to the space‎. ‎Additionally‎, ‎an example is provided to demonstrate the applicability of the results obtained from our theorem‎.

کلیدواژه‌ها

معادله انتگرال کسری تطبیقی

اندازه نافشردگی

وجود جواب

قضیه نقطه ثابت پتریشین

موضوعات

آنالیز تابعی

عنوان مقاله English

On solution of conformable fractional integral equation via measure of noncompactness and fixed point approach

نویسندگان English

Manochehr Kazemi ¹

Hamid Reza Sahebi ²

Mohammad Esmael Samei ³

¹ Department of Mathematics, Ash. C., Islamic Azad University, Ashtian, Iran

² Department of Mathematics, Ash. C., Islamic Azad University, Ashtian, Iran

³ Department of Mathematics, Faculty of Science, Bu-Ali Sina University, Hamedan, Iran

چکیده English

This study seeks to explore the solutions of a class of non-linear equations via fractional conformable integral in the defined Banach space of continuous functions. In this setting, employing the technique of noncompactness measures, we utilize Petryshyn's fixed point theorem to establish the existence of solutions for this particular fractional equation under specific weaker conditions related to the space. Additionally, an example is provided to demonstrate the applicability of the results obtained from our theorem.

کلیدواژه‌ها English

Fractional conformable integral equation

measures of noncompactness

existence of solution

fixed point theorem of Petryshyn