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A study on the existence results for neutral functional random integro-differential equations with infinite delay | ||
| Journal of Mathematical Modeling | ||
| مقاله 12، دوره 13، شماره 3، مهر 2025، صفحه 675-693 اصل مقاله (309.57 K) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.22124/jmm.2025.27789.2447 | ||
| نویسندگان | ||
| Srinivasan Madhumitha1؛ Gunasekar Tharmalingam2؛ Prabakaran Raghavendran3؛ Shyam Sundar Santra4؛ Samad Noeiaghdam* 5 | ||
| 1Department of Mathematics, Vel Tech Rangarajan Dr. Sagunthala R & D Institute of Science and Technology, Chennai - 600062, Tamil Nadu, India | ||
| 2Department of Mathematics, Vel Tech Rangarajan Dr. Sagunthala R & D Institute of Science and Technology, Chennai - 600062, Tamil Nadu, India & School of Artificial Intelligence and Data Science, Indian Institute of Technology (IIT), Jodhpur 342030, India | ||
| 3Department of Mathematics, Vel Tech Rangarajan Dr. Sagunthala R & D Institute of Science and Technology, Chennai - 600062, Tamil Nadu, India | ||
| 4Department of Mathematics, JIS College of Engineering, Kalyani, West Bengal 741235, India | ||
| 5Institute of Mathematics, Henan Academy of Sciences, Zhengzhou 450046, China | ||
| چکیده | ||
| This study investigates the solutions of neutral functional integro-differential equations and second order neutral functional differential equations with delays and random effects. The Kakutani fixed-point theorem is used to prove the existence of mildly random solutions in the stochastic domain and to launch this investigation. The research heavily relies on core notions from functional analysis, and to make these concepts clearer, an explicit case is given. | ||
| کلیدواژهها | ||
| Random fixed point؛ neutral integro-differential equations؛ mild solution؛ infinite delay؛ semigroup theory | ||
| مراجع | ||
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