Atangana–Baleanu time-fractional stochastic integro-differential equation

Atangana–Baleanu time-fractional stochastic integro-differential equation

We study the Atangana–Baleanu time-fractional stochastic integro-differential equation. Using Banach fixed point theory, we prove existence and uniqueness of mild solution. In addition, upper second moment growth estimate of the mild solution is proved and the result gives a precise exponential grow...

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Bibliographic Details
Main Authors: McSylvester Ejighikeme Omaba, Cyril Dennis Enyi
Format: Article
Language:English
Published: Elsevier 2021-12-01
Series:Partial Differential Equations in Applied Mathematics
Subjects:
Atangana–Baleanu integro-differential operators
Growth moment bounds
Existence & uniqueness
Mittag-Leffler
Non-singular & non-local kernel
Online Access:http://www.sciencedirect.com/science/article/pii/S266681812100053X
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spelling doaj-56f986805ab24ea8a5e172d52a3fb0242021-09-11T04:31:26ZengElsevierPartial Differential Equations in Applied Mathematics2666-81812021-12-014100100Atangana–Baleanu time-fractional stochastic integro-differential equationMcSylvester Ejighikeme Omaba0Cyril Dennis Enyi1Department of Mathematics, University of Hafr Al Batin, Saudi ArabiaCorresponding author.; Department of Mathematics, University of Hafr Al Batin, Saudi ArabiaWe study the Atangana–Baleanu time-fractional stochastic integro-differential equation. Using Banach fixed point theory, we prove existence and uniqueness of mild solution. In addition, upper second moment growth estimate of the mild solution is proved and the result gives a precise exponential growth. We also give some specific examples and illustrate their growth moment bounds with graphs.http://www.sciencedirect.com/science/article/pii/S266681812100053XAtangana–Baleanu integro-differential operatorsGrowth moment boundsExistence & uniquenessMittag-LefflerNon-singular & non-local kernel
collection DOAJ
language English
format Article
sources DOAJ
author McSylvester Ejighikeme Omaba
Cyril Dennis Enyi
spellingShingle McSylvester Ejighikeme Omaba
Cyril Dennis Enyi
Atangana–Baleanu time-fractional stochastic integro-differential equation
Partial Differential Equations in Applied Mathematics
Atangana–Baleanu integro-differential operators
Growth moment bounds
Existence & uniqueness
Mittag-Leffler
Non-singular & non-local kernel
author_facet McSylvester Ejighikeme Omaba
Cyril Dennis Enyi
author_sort McSylvester Ejighikeme Omaba
title Atangana–Baleanu time-fractional stochastic integro-differential equation
title_short Atangana–Baleanu time-fractional stochastic integro-differential equation
title_full Atangana–Baleanu time-fractional stochastic integro-differential equation
title_fullStr Atangana–Baleanu time-fractional stochastic integro-differential equation
title_full_unstemmed Atangana–Baleanu time-fractional stochastic integro-differential equation
title_sort atangana–baleanu time-fractional stochastic integro-differential equation
publisher Elsevier
series Partial Differential Equations in Applied Mathematics
issn 2666-8181
publishDate 2021-12-01
description We study the Atangana–Baleanu time-fractional stochastic integro-differential equation. Using Banach fixed point theory, we prove existence and uniqueness of mild solution. In addition, upper second moment growth estimate of the mild solution is proved and the result gives a precise exponential growth. We also give some specific examples and illustrate their growth moment bounds with graphs.
topic Atangana–Baleanu integro-differential operators
Growth moment bounds
Existence & uniqueness
Mittag-Leffler
Non-singular & non-local kernel
url http://www.sciencedirect.com/science/article/pii/S266681812100053X
work_keys_str_mv AT mcsylvesterejighikemeomaba atanganabaleanutimefractionalstochasticintegrodifferentialequation
AT cyrildennisenyi atanganabaleanutimefractionalstochasticintegrodifferentialequation
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