On a solution of nonlinear differential equation of Mikusinski operators W' (z) = -s... a (z) W... (z).
On A Solution Of The Nonlinear Differential Equation Of Mikusinski Operators W'(z)=-sαa(z)Wn+1(z)
On an integral equation.
On convergence in the Mikusiński operational calculus
On distributional solutions of some systems of linear differential equations
On Mikusinski's perators of fractional integration
On power series in the differentiation operator
On power series in the operators
On the continuity of quotient multipliers
On The Convergence In The Space Of Mikusiński's Operators
On the Fourier transform, Boehmians, and distributions
We introduce some spaces of generalized functions that are defined as generalized quotients and Boehmians. The spaces provide simple and natural frameworks for extensions of the Fourier transform.
On the homogeneous difference equation in the field of Mikusiński operators.
On the Operational Solution of a System of Fractional Differential Equations
MSC 2010: 26A33, 44A45, 44A40, 65J10We consider a linear system of differential equations with fractional derivatives, and its corresponding system in the field of Mikusiński operators, written in a matrix form, by using the connection between the fractional and the Mikusiński calculus. The exact and the approximate operational solution of the corresponding matrix equations, with operator entries are determined, and their characters are analyzed. By using the packages Scientific Work place and...
On the Operator Solutions of Difference Equations
On the solvability of algebraic equations in the field of Mikusinski's operators
On the topological structure of Mikusinski's operators
On type II convergence in the Miklusiński operational calculus
Opérateurs Paraboliques Dans Le Calcul Opérationnel Des Distributions A Support Dans Rn+ n ≥ 1
Operational Calculi for the Euler Operator
2000 Mathematics Subject Classification: 44A40, 44A35A direct algebraic construction of a family of operational calculi for the Euler differential operator δ = t d/dt is proposed. It extends the Mikusiński's approach to the Heaviside operational calculus for the case when the classical Duhamel convolution is replaced by the convolution ...
Operational calculus and differential equations with infinitely smooth coefficients.