A solution of the fractional differential equations in the setting of $b$-metric space
Keyword(s):
In this paper, we study the existence of solutions for the following differential equations by using a fixed point theorems \[ \begin{cases} D^{\mu}_{c}w(\varsigma)\pm D^{\nu}_{c}w(\varsigma)=h(\varsigma,w(\varsigma)),& \varsigma\in J,\ \ 0<\nu<\mu<1,\\ w(0)=w_0,& \ \end{cases} \] where $D^{\mu}$, $D^{\nu}$ is the Caputo derivative of order $\mu$, $\nu$, respectively and $h:J\times \mathbb{R}\rightarrow \mathbb{R}$ is continuous. The results are well demonstrated with the aid of exciting examples.
2014 ◽
Vol 2014
◽
pp. 1-11
◽
2021 ◽
Vol 0
(0)
◽
2020 ◽
Vol 27
(3)
◽
pp. 385-398
◽
2018 ◽
Vol 2018
◽
pp. 1-12
◽
2017 ◽
Vol 49
(2)
◽
pp. 1
◽