مشخصات پژوهش

صفحه نخست /A computational method for ...
عنوان
A computational method for investigating a quantum integrodifferential inclusion with simulations and heatmaps
نوع پژوهش مقاله چاپ شده
کلیدواژه‌ها
fractional calculus; endpoint property; Pompieu-Hausdorff metric; boundary value problem; integro-differential inclusion; quantum calculus; fixed point theory
چکیده
We aim to investigate an integro-differential inclusion using a novel computational approach in this research. The use of quantum calculus, and consequently the creation of discrete space, allows the computer and computational algorithms to solve our desired problem. Furthermore, to guarantee the existence of the solution, we use the endpoint property based on fixed point methods, which is one of the most recent techniques in fixed point theory. The above will show the novelty of our work, because most researchers use classical fixed point techniques in continuous space. Moreover, the sensitivity of the parameters involved in controlling the existence of the solution can be recognized from the heatmaps. For a better understanding of the issue and validation of the results, we presented numerical algorithms, tables and some figures in our examples that are presented at the end of the work.
پژوهشگران شهرام رضاپور (نفر اول)، صبری ثابت (نفر دوم)، عمید کدیم (نفر سوم)، میگوئل ویواس کورتز (نفر چهارم)، مهران قادری (نفر پنجم)