Well-Posedness and Stability of Time-Dependent Impulsive Neutral Stochastic Partial Integrodi, erential Equations with Fractional Brownian Motion and Poisson Jumps

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Ramkumar K.; RAVIKUMAR K.; Elsayed E. M.

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Journal: JOURNAL OF MATHEMATICAL EXTENSION Year:2022 | Volume:16 | Issue:7 Page(s): 00-00

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Title

Well-Posedness and Stability of Time-Dependent Impulsive Neutral Stochastic Partial Integrodi, erential Equations with Fractional Brownian Motion and Poisson Jumps

Author(s)

Ramkumar K. | RAVIKUMAR K. | Elsayed E. M. | Issue Writer Certificate

Keywords

Resolvent operator

Stochastic partial dif-ferential equations

Poisson jumps

Fractional Brownian motion

Suc-cessive approximation

Bihari's inequality

Abstract

In this paper, we discuss the existence, uniqueness and sta-bility of mild solutions of time-dependent impulsive neutral stochastic partial integrodi, erential equations with fractional Brownian motion and Poisson jumps. The existence of mild solutions for the equations are discussed by means of semigroup theory and theory of resolvent op-erator. Next, certain su, cient conditions and results are obtained by using the method of successive approximation and Bihari's inequality. Finally, an example is provided to illustrate our results.

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APA: Copy

Ramkumar, K., RAVIKUMAR, K., & Elsayed, E. M.. (2022). Well-Posedness and Stability of Time-Dependent Impulsive Neutral Stochastic Partial Integrodi, erential Equations with Fractional Brownian Motion and Poisson Jumps. JOURNAL OF MATHEMATICAL EXTENSION, 16(7), 00-00. SID. https://sid.ir/paper/1066187/en

Vancouver: Copy

Ramkumar K., RAVIKUMAR K., Elsayed E. M.. Well-Posedness and Stability of Time-Dependent Impulsive Neutral Stochastic Partial Integrodi, erential Equations with Fractional Brownian Motion and Poisson Jumps. JOURNAL OF MATHEMATICAL EXTENSION[Internet]. 2022;16(7):00-00. Available from: https://sid.ir/paper/1066187/en

IEEE: Copy

K. Ramkumar, K. RAVIKUMAR, and E. M. Elsayed, “Well-Posedness and Stability of Time-Dependent Impulsive Neutral Stochastic Partial Integrodi, erential Equations with Fractional Brownian Motion and Poisson Jumps,” JOURNAL OF MATHEMATICAL EXTENSION, vol. 16, no. 7, pp. 00–00, 2022, [Online]. Available: https://sid.ir/paper/1066187/en

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