مشخصات پژوهش

عنوان	To numerical explore a fractional implicit $Q$-differential equations with Hilfer type and via nonlocal conditions
نوع پژوهش	مقاله چاپ‌شده در مجلات علمی
کلیدواژه‌ها	implicit $q$-differential equation, Hilfer fractional $q$-derivative, nonlinear analysis, existence, Ulam stability
چکیده	This paper tries to show that there is only one solution for problem of fractional $q$-differential equations with Hilfer type, and it does so by using a particular method known as Schaefer's fixed point theorem and the Banach contraction principle. After that, we create a integral type of the problem for nonlocal condition. Next, we show that Ulam stability is true. The Gr\"{o}wnwall rule for singular kernels of the equations helps to show our findings are correct. We confirm our findings by giving a few practical examples.
پژوهشگران	محمداسماعیل سامعی (نفر اول)، علیرضا حاتمی (نفر دوم)