The fundamental solutions for fractional evolution equations of parabolic type.
Generalized random processes and Cauchy's problem for some partial differential systems.
On the initial value problem for a partial differential equation with operator coefficients.
The fundamental solutions for fractional evolution equations of parabolic type.
Weak almost periodic and optimal mild solutions of fractional evolution equations.
On the correct formulation of a nonlinear differential equation in Banach spaces.
Solvability of an Infinite System of Singular Integral Equations
2000 Mathematics Subject Classification: 45G15, 26A33, 32A55, 46E15. Schauder's fixed point theorem is used to establish an existence result for an infinite system of singular integral equations in the form: (1) xi(t) = ai(t)+ ∫t0 (t − s)− α (s, x1(s), x2(s), …) ds, where i = 1,2,…, α ∈ (0,1) and t ∈ I = [0,T]. The result obtained is applied to show the solvability of an infinite system of differential equation of fractional orders.
Volterra equations with fractional stochastic integrals.
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