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well-posedness and stability of time-dependent impulsive neutral stochastic partial integrodifferential equations with fractional brownian motion and poisson jumps
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نویسنده
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elsayed elsayed mohammed ,ravikumar kasinathan ,ramkumar kasinathan
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منبع
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journal of mathematical extension - 2022 - دوره : 16 - شماره : 7 - صفحه:1 -25
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چکیده
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In this paper, we discuss the existence, uniqueness and stability of mild solutions of time-dependent impulsive neutral stochastic partial integrodifferential 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 operator. next, certain sufficient 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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کلیدواژه
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resolvent operator ,stochastic partial differential equations ,poisson jumps ,fractional brownian motion ,successive approximation ,bihari’s inequality.
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آدرس
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king abdulaziz university, faculty of science, department of mathematics, saudi arabia., psg college of arts & science, faculty of science, department of mathematics, india, psg college of arts & science, faculty of science, department of mathematics, india
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پست الکترونیکی
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ramkumarkpsg@gmail.com
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Authors
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