Existence–Uniqueness and Wright Stability Results of the Riemann–Liouville Fractional Equations by Random Controllers in MB-Spaces
Keyword(s):
We apply the random controllers to stabilize pseudo Riemann–Liouville fractional equations in MB-spaces and investigate existence and uniqueness of their solutions. Next, we compute the optimum error of the estimate. The mentioned process i.e., stabilization by a control function and finding an approximation for a pseudo functional equation is called random HUR stability. We use a fixed point technique derived from the alternative fixed point theorem (FPT) to investigate random HUR stability of the Riemann–Liouville fractional equations in MB-spaces. As an application, we introduce a class of random Wright control function and investigate existence–uniqueness and Wright stability of these equations in MB-spaces.
2018 ◽
Vol 48
(6)
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pp. 1743-1762
2021 ◽
Vol 2
(3)
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pp. 9-20
2015 ◽
Vol 18
(5)
◽
pp. 599-615
Keyword(s):
2019 ◽
Vol 22
(1)
◽