To numerical explore a fractional implicit Q-differential equations with Hilfer type and via nonlocal conditions
عنوان مقاله: To numerical explore a fractional implicit Q-differential equations with Hilfer type and via nonlocal conditions
شناسه ملی مقاله: JR_MACO-4-1_009
منتشر شده در در سال 1402
شناسه ملی مقاله: JR_MACO-4-1_009
منتشر شده در در سال 1402
مشخصات نویسندگان مقاله:
Mohammad Esmael Samei - Bu-Ali Sina University
Alireza Hatami - Bu-Ali Sina University
خلاصه مقاله:
Mohammad Esmael Samei - Bu-Ali Sina University
Alireza Hatami - Bu-Ali Sina University
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.
کلمات کلیدی: implicit q-differential equation, Hilfer fractional q-derivative, nonlinear analysis, existence, Ulam stability
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1900569/