A novel control method for integer orders chaos systems via fractional-order derivative.
A numerical method for solution of semidifferential equations
A panorama of geometrical optimal control theory.
A phase of the differential equation with a complex coefficient of the real variable
A Picard method without Lipschitz continuity for some ordinary differential equations
A polar coordinate transformation for nonhomogeneous differential systems
A Poster about the Old History of Fractional Calculus
MSC 2010: 26A33, 05C72, 33E12, 34A08, 34K37, 35R11, 60G22The fractional calculus (FC) is an area of intensive research and development. In a previous paper and poster we tried to exhibit its recent state, surveying the period of 1966-2010. The poster accompanying the present note illustrates the major contributions during the period 1695-1970, the "old history" of FC.
A Poster about the Recent History of Fractional Calculus
MSC 2010: 26A33, 05C72, 33E12, 34A08, 34K37, 35R11, 60G22In the last decades fractional calculus became an area of intense re-search and development. The accompanying poster illustrates the major contributions during the period 1966-2010.
A predator-prey model with state dependent impulsive effects
We investigate a Lotka-Volterra predator-prey model with state dependent impulsive effects, in which the control strategies by releasing natural enemies and spraying pesticide at different thresholds are considered. We present some sufficient conditions to guarantee the existence and asymptotical stability of semi-trivial periodic solutions and positive periodic solutions.
A problem on the zeros of the Mittag-Leffler function and the spectrum of a fractional-order differential operator.
A procedure for the solution of the equations of motion by the finite element method
A refinement of quasilinearization method for Caputo's sense fractional-order differential equations.
A remark on Nehari-type oscillation criteria for self-adjoint linear differential equations
Oscillation criteria of Nehari-type for the equation , , are established. These criteria impose no sign restriction on the function and generalize some recent results of the second author.
A remark on Scorza-Dragoni theorem for differential inclusions
A remark on the oscillation of ordinary second order nonlinear differential equations
A remark on uniqueness criteria for initial value problem
A remark on Yosida's complement to Mikusiński's operational calculus
A remark to the Floquet theorem for systems of linear differential equations
A result concerning meromorphic solutions in the unit disk of algebraic differential equations
A resummed branching process representation for a class of nonlinear ODEs.