Existence of solutions for integrodifferential equations of fractional order with antiperiodic boundary conditions.
Existence of extremal solutions of a three-point boundary value problem for a general second order -Laplacian integro-differential equation.
Existence and analytic approximation of solutions of Duffing type nonlinear integro-differential equation with integral boundary conditions.
Existence of solutions for nonlinear fractional integro-differential equations with three-point nonlocal fractional boundary conditions.
Existence and uniqueness of solutions for coupled systems of higher-order nonlinear fractional differential equations.
An extended method of quasilinearization for nonlinear impulsive differential equations with a nonlinear three-point boundary condition.
Approximation of solutions of the forced duffing equation with nonlocal discontinuous type integral boundary conditions
A generalized quasilinearization technique is applied to obtain a sequence of approximate solutions converging monotonically and quadratically to the unique solution of the forced Duffing equation with nonlocal discontinuous type integral boundary conditions.
New existence results for nonlinear fractional differential equations with three-point integral boundary conditions.
New properties of conformable derivative
Recently, the conformable derivative and its properties have been introduced. In this work we have investigated in more detail some new properties of this derivative and we have proved some useful related theorems. Also, some new definitions have been introduced.
Existence theory for sequential fractional differential equations with anti-periodic type boundary conditions
We develop the existence theory for sequential fractional differential equations involving Liouville-Caputo fractional derivative equipped with anti-periodic type (non-separated) and nonlocal integral boundary conditions. Several existence criteria depending on the nonlinearity involved in the problems are presented by means of a variety of tools of the fixed point theory. The applicability of the results is shown with the aid of examples. Our results are not only new in the given configuration...
Dependence of hidden attractors on non-linearity and Hamilton energy in a class of chaotic system
Non-linearity is essential for occurrence of chaos in dynamical system. The size of phase space and formation of attractors are much dependent on the setting of nonlinear function and parameters. In this paper, a three-variable dynamical system is controlled by different nonlinear function thus a class of chaotic system is presented, the Hamilton function is calculated to find the statistical dynamical property of the improved dynamical systems composed of hidden attractors. The standard dynamical...
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