Solvability of functional stochastic integral equations via Darbo's fixed point theorem

Amar Deep; Syed Abbas; Bhupander Singh; M. R. Alharthi; Kottakkaran Sooppy Nisar

doi:10.1016/j.aej.2021.04.024

Solvability of functional stochastic integral equations via Darbo's fixed point theorem

Amar Deep, Syed Abbas, Bhupander Singh, M. R. Alharthi, Kottakkaran Sooppy Nisar

Mathematics

Research output: Contribution to journal › Article › peer-review

17 Scopus citations

Abstract

Using the techniques of Darbo's fixed-point theorem associated with measures of noncompactness, we investigate the existence results for functional stochastic integral equations in Banach Algebra, which are useful in many real-life problems, such as applied mathematics, physics, and economics problems. Our existence results treat numerous existence results achieved by different authors as special cases. An example is also provided to show the effectiveness of our main results.

Original language	English
Pages (from-to)	5631-5636
Number of pages	6
Journal	Alexandria Engineering Journal
Volume	60
Issue number	6
DOIs	https://doi.org/10.1016/j.aej.2021.04.024
State	Published - Dec 2021

Keywords

Banach algebra
Fixed point theorem
Functional integral equation
Measure of non-compactness

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10.1016/j.aej.2021.04.024

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title = "Solvability of functional stochastic integral equations via Darbo's fixed point theorem",

abstract = "Using the techniques of Darbo's fixed-point theorem associated with measures of noncompactness, we investigate the existence results for functional stochastic integral equations in Banach Algebra, which are useful in many real-life problems, such as applied mathematics, physics, and economics problems. Our existence results treat numerous existence results achieved by different authors as special cases. An example is also provided to show the effectiveness of our main results.",

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author = "Amar Deep and Syed Abbas and Bhupander Singh and Alharthi, \{M. R.\} and Nisar, \{Kottakkaran Sooppy\}",

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AU - Deep, Amar

AU - Abbas, Syed

AU - Singh, Bhupander

AU - Alharthi, M. R.

AU - Nisar, Kottakkaran Sooppy

PY - 2021/12

Y1 - 2021/12

N2 - Using the techniques of Darbo's fixed-point theorem associated with measures of noncompactness, we investigate the existence results for functional stochastic integral equations in Banach Algebra, which are useful in many real-life problems, such as applied mathematics, physics, and economics problems. Our existence results treat numerous existence results achieved by different authors as special cases. An example is also provided to show the effectiveness of our main results.

AB - Using the techniques of Darbo's fixed-point theorem associated with measures of noncompactness, we investigate the existence results for functional stochastic integral equations in Banach Algebra, which are useful in many real-life problems, such as applied mathematics, physics, and economics problems. Our existence results treat numerous existence results achieved by different authors as special cases. An example is also provided to show the effectiveness of our main results.

KW - Banach algebra

KW - Fixed point theorem

KW - Functional integral equation

KW - Measure of non-compactness

UR - https://www.scopus.com/pages/publications/85107808420

U2 - 10.1016/j.aej.2021.04.024

DO - 10.1016/j.aej.2021.04.024

M3 - Article

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VL - 60

SP - 5631

EP - 5636

JO - Alexandria Engineering Journal

JF - Alexandria Engineering Journal

IS - 6

ER -

Solvability of functional stochastic integral equations via Darbo's fixed point theorem

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Keywords

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