Existence–uniqueness and wright stability results of the riemann–liouville fractional equations by random controllers in mb-spaces

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F21%3AA2202ABE" target="_blank" >RIV/61988987:17610/21:A2202ABE - isvavai.cz</a>

Result on the web

<a href="http://dx.doi.org/10.3390/math9141602" target="_blank" >http://dx.doi.org/10.3390/math9141602</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.3390/math9141602" target="_blank" >10.3390/math9141602</a>

Result language

angličtina

Original language name

Existence–uniqueness and wright stability results of the riemann–liouville fractional equations by random controllers in mb-spaces

Original language 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.

Czech name

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Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

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OECD FORD branch

10101 - Pure mathematics

Project

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Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2021

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Mathematics

ISSN

2227-7390

e-ISSN

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Volume of the periodical

9

Issue of the periodical within the volume

14

Country of publishing house

CH - SWITZERLAND

Number of pages

15

Pages from-to

1-15

UT code for WoS article

000676244800001

EID of the result in the Scopus database

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