Existence–Uniqueness and Wright Stability Results of the Riemann–Liouville Fractional Equations by Random Controllers in MB-Spaces
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 appr...
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doaj-010dbca0f605497898368587a9aad6b62021-07-23T13:52:20ZengMDPI AGMathematics2227-73902021-07-0191602160210.3390/math9141602Existence–Uniqueness and Wright Stability Results of the Riemann–Liouville Fractional Equations by Random Controllers in MB-SpacesRadko Mesiar0Reza Saadati1Faculty of Civil Engineering, Slovak University of Technology, Radlinského 11, 810 05 Bratislava, SlovakiaSchool of Mathematics, Iran University of Science and Technology, Narmak, Tehran 16844, IranWe 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.https://www.mdpi.com/2227-7390/9/14/1602Riemann–Liouville fractional equationintegro-differential equationMB-spaceswright stabilityfixed point method |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Radko Mesiar Reza Saadati |
spellingShingle |
Radko Mesiar Reza Saadati Existence–Uniqueness and Wright Stability Results of the Riemann–Liouville Fractional Equations by Random Controllers in MB-Spaces Mathematics Riemann–Liouville fractional equation integro-differential equation MB-spaces wright stability fixed point method |
author_facet |
Radko Mesiar Reza Saadati |
author_sort |
Radko Mesiar |
title |
Existence–Uniqueness and Wright Stability Results of the Riemann–Liouville Fractional Equations by Random Controllers in MB-Spaces |
title_short |
Existence–Uniqueness and Wright Stability Results of the Riemann–Liouville Fractional Equations by Random Controllers in MB-Spaces |
title_full |
Existence–Uniqueness and Wright Stability Results of the Riemann–Liouville Fractional Equations by Random Controllers in MB-Spaces |
title_fullStr |
Existence–Uniqueness and Wright Stability Results of the Riemann–Liouville Fractional Equations by Random Controllers in MB-Spaces |
title_full_unstemmed |
Existence–Uniqueness and Wright Stability Results of the Riemann–Liouville Fractional Equations by Random Controllers in MB-Spaces |
title_sort |
existence–uniqueness and wright stability results of the riemann–liouville fractional equations by random controllers in mb-spaces |
publisher |
MDPI AG |
series |
Mathematics |
issn |
2227-7390 |
publishDate |
2021-07-01 |
description |
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. |
topic |
Riemann–Liouville fractional equation integro-differential equation MB-spaces wright stability fixed point method |
url |
https://www.mdpi.com/2227-7390/9/14/1602 |
work_keys_str_mv |
AT radkomesiar existenceuniquenessandwrightstabilityresultsoftheriemannliouvillefractionalequationsbyrandomcontrollersinmbspaces AT rezasaadati existenceuniquenessandwrightstabilityresultsoftheriemannliouvillefractionalequationsbyrandomcontrollersinmbspaces |
_version_ |
1721287190327066624 |