Asymptotic behavior of attracting and quasi-invariant sets of impulsive stochastic partial integrodifferential equations with delays and Poisson jumps

Ramkumar, K.; Ravikumar, K.; Chalishajar, Dimplekumar; Anguraj, A.

doi:10.22436/jnsa.014.05.04

J. Nonlinear Sci. Appl.

2021

DOI: 10.22436/jnsa.014.05.04

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Asymptotic behavior of attracting and quasi-invariant sets of impulsive stochastic partial integrodifferential equations with delays and Poisson jumps

K. Ramkumar¹,

K. Ravikumar²,

Dimplekumar Chalishajar³

et al.

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Hyers-Ulam-Rassias-Kummer stability of the fractional integro-differential equations

Eidinejad¹,

Saadati

2022

MBE

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<abstract><p>In this paper, using the fractional integral with respect to the $ \Psi $ function and the $ \Psi $-Hilfer fractional derivative, we consider the Volterra fractional equations. Considering the Gauss Hypergeometric function as a control function, we introduce the concept of the Hyers-Ulam-Rassias-Kummer stability of this fractional equations and study existence, uniqueness, and an approximation for two classes of fractional Volterra integro-differential and fractional Volterra integral. We apply the Cădariu-Radu method derived from the Diaz-Margolis alternative fixed point theorem. After proving each of the main theorems, we provide an applied example of each of the results obtained.</p></abstract>

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Hyers-Ulam-Rassias-Kummer stability of the fractional integro-differential equations

Eidinejad¹,

Saadati

2022

MBE

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Asymptotic behavior of attracting and quasi-invariant sets of impulsive stochastic partial integrodifferential equations with delays and Poisson jumps

Cited by 1 publication

References 21 publications

Hyers-Ulam-Rassias-Kummer stability of the fractional integro-differential equations

Hyers-Ulam-Rassias-Kummer stability of the fractional integro-differential equations

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