Existence Result for Semilinear Fractional Stochastic Evolution Inclusions Driven by Poisson Jumps

DOI10.1007/978-81-322-2485-3_39zbMath1338.34026OpenAlexW2408306568MaRDI QIDQ2801935

P. Tamilalagan, Pagavathigounder Balasubramaniam

Publication date: 22 April 2016

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-81-322-2485-3_39

zbMATH Keywords

mild solutionfixed point theoremmultivalued mapPoisson jump

Mathematics Subject Classification ID

Evolution inclusions (34G25) Ordinary differential equations and systems with randomness (34F05) Fractional ordinary differential equations (34A08)

Related Items (6)

Approximate controllability of nonlinear hilfer fractional stochastic differential system with Rosenblatt process and Poisson jumps ⋮ Well posedness of second-order impulsive fractional neutral stochastic differential equations ⋮ Fractional neutral stochastic integrodifferential equations with Caputo fractional derivative: Rosenblatt process, Poisson jumps and Optimal control ⋮ Existence and stability of Ulam-Hyers for neutral stochastic functional differential equations ⋮ Study a class of Hilfer fractional stochastic integrodifferential equations with Poisson jumps ⋮ Fractional neutral stochastic differential equations with Caputo fractional derivative: Fractional Brownian motion, Poisson jumps, and optimal control

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• Fundamental sets of fractal functions
• The existence and asymptotic behaviour of solutions to non-Lipschitz stochastic functional evolution equations driven by Poisson jumps
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