Sobolev-Type Fractional Stochastic Integrodifferential Equations with Nonlocal Conditions in Hilbert Space

Hamdy M. Ahmed ()
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Hamdy M. Ahmed: El-Shorouk Academy

Journal of Theoretical Probability, 2017, vol. 30, issue 3, 771-783

Abstract: Abstract We prove the existence of mild solution to Sobolev-type fractional stochastic integrodifferential equation with nonlocal conditions in Hilbert space. Also, we study the controllability of Sobolev-type fractional stochastic integrodifferential equations with impulsive conditions. We use uniformly continuous semigroups and fixed point technique for the main results. An example is provided to illustrate the theory.

Keywords: Fractional calculus; Sobolev-type fractional stochastic integrodifferential equation; Controllability; Nonlocal conditions; Uniformly continuous semigroup; Mild solution; Fixed point technique; 26A33; 34G20; 47J05; 65C30; 93B05 (search for similar items in EconPapers)
Date: 2017
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DOI: 10.1007/s10959-016-0665-9

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