Mathematical Analysis and Convex Optimization
آنالیز ریاضی و بهینه سازی محدب
MACO
Basic Sciences
http://maco.lu.ac.ir
1
admin
2717-0624
2717-0624
8
10.22034
14
8888
13
en
jalali
1402
3
1
gregorian
2023
6
1
4
1
online
1
fulltext
en
To numerical explore a fractional implicit $Q$-differential equations with Hilfer type and via nonlocal conditions
Mathematical Analysis
پژوهشي
Research Article
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.
implicit $q-$differential equation, Hilfer fractional $q$-derivative, nonlinear analysis, existence, Ulam stability
97
117
http://maco.lu.ac.ir/browse.php?a_code=A-10-203-1&slc_lang=en&sid=1
Mohammad Esmael
Samei
mesamei@gmail.com
`10031947532846001333`

10031947532846001333
Yes
Bu-Ali Sina University
Alireza
Hatami
alirezahatami4816@gmail.com
`10031947532846001334`

10031947532846001334
No
Bu-Ali Sina University