Oscillation of Fractional Nonlinear Difference Equations
نویسندگان
چکیده
The oscillation criteria for forced nonlinear fractional difference equation of the form ∆x(t) + f1(t, x(t+ α)) =v(t) + f2(t, x(t+ α)), t ∈ N0, 0 < α ≤ 1, ∆x(t)|t=0 =x0, where ∆α denotes the Riemann-Liouville like discrete fractional difference operator of order α is presented. Mathematics Subject Classification: 26A33, 39A12
منابع مشابه
Sufficient conditions for oscillation of a nonlinear fractional nabla difference system
In this paper, we study the oscillation of nonlinear fractional nabla difference equations of the form [Formula: see text]where c and α are constants, [Formula: see text] is the Riemann-Liouville fractional nabla difference operator of order [Formula: see text] is a real number, and [Formula: see text]. Some sufficient conditions for oscillation are established.
متن کاملA distinct numerical approach for the solution of some kind of initial value problem involving nonlinear q-fractional differential equations
The fractional calculus deals with the generalization of integration and differentiation of integer order to those ones of any order. The q-fractional differential equation usually describe the physical process imposed on the time scale set Tq. In this paper, we first propose a difference formula for discretizing the fractional q-derivative of Caputo type with order and scale index . We es...
متن کاملOn the split-step method for the solution of nonlinear Schr"{o}dinger equation with the Riesz space fractional derivative
The aim of this paper is to extend the split-step idea for the solution of fractional partial differential equations. We consider the multidimensional nonlinear Schr"{o}dinger equation with the Riesz space fractional derivative and propose an efficient numerical algorithm to obtain it's approximate solutions. To this end, we first discretize the Riesz fractional derivative then apply the Crank-...
متن کاملSOLVING FRACTIONAL NONLINEAR SCHR"{O}DINGER EQUATIONS BY FRACTIONAL COMPLEX TRANSFORM METHOD
In this paper, we apply fractional complex transform to convert the fractional nonlinear Schr"{o}dinger equations to the nonlinear Schr"{o}dinger equations.
متن کاملInterval Oscillation Criteria For A Class Of Nonlinear Fractional Differential Equations
In this work, some new interval oscillation criteria for solutions of a class of nonlinear fractional differential equations are established by using a generalized Riccati function and inequality technique. For illustrating the validity of the established results, we also present some applications for them. Key–Words: Oscillation; Interval criteria; Qualitative properties; Fractional differenti...
متن کامل