Volume 4, Issue 1 (6-2023)
MACO 2023, 4(1): 97-117 |
Back to browse issues page
Download citation:
BibTeX | RIS | EndNote | Medlars | ProCite | Reference Manager | RefWorks
Send citation to:
BibTeX | RIS | EndNote | Medlars | ProCite | Reference Manager | RefWorks
Send citation to:
Samei M E, Hatami A. To numerical explore a fractional implicit $Q$-differential equations with Hilfer type and via nonlocal conditions. MACO 2023; 4 (1) :97-117
URL: http://maco.lu.ac.ir/article-1-134-en.html
URL: http://maco.lu.ac.ir/article-1-134-en.html
Abstract: (267 Views)
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.
Keywords: implicit $q-$differential equation, Hilfer fractional $q$-derivative, nonlinear analysis, existence, Ulam stability
Send email to the article author
| Rights and permissions | |
 |
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License. |
