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Existence and numerical results for 2D fractional Volterra integral equations via measure of noncompactness | ||
| Computational Methods for Differential Equations | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 17 شهریور 1405 اصل مقاله (1.23 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2026.69918.3453 | ||
| نویسندگان | ||
| Man Singh1؛ Manochehr Kazemi* 2؛ Mohammad Esmael Samei3 | ||
| 1Department of Mathematics, Motial Nehru College, University of Delhi, Delhi, India. | ||
| 2Department of Cognitive Computational Science, CT. C., Islamic Azad University, Tehran, Iran. | ||
| 3Department of Mathematics, Faculty of Science, Bu-Ali Sina University, Hamedan, Iran. | ||
| چکیده | ||
| The current research introduces a generalized Volterra type of fractional integral equations defined on two dimensions and aims to investigate the sufficient conditions for the existence of solutions of these equations by employing nonlinear analysis method such as fixed point theorem of Petryshyn connected with the measure of noncompactness in the space of continuous functions on two close intervals. In fact, we show that under weaker conditions, the existence results contain special cases achieved from similar studies. Further, to find the solutions of the problem of two variables, the successful iterative technique is formulated numerically. Of course, some provided examples confirm that our established results are effective. | ||
| کلیدواژه‌ها | ||
| Nonlinear analysis؛ Measure of noncompactness؛ Fractional integral equation؛ Iterative technique | ||
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آمار تعداد مشاهده مقاله: 52 تعداد دریافت فایل اصل مقاله: 82 |
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