Sentence examples similar to basic problems of fractional from inspiring English sources

Dynamical behaviors such as existence and stability are basic problems of fractional differential equations [5 10].

Its army faces basic problems of nuclear strategy, politics and basic readiness.

Overcoming the Basic Problems of the Telephone.

It then faces the basic problem of making a profit.

Very recently some basic theory for the initial value problems of fractional differential equations involving Riemann-Liouville differential operator of order 0 < q ≤ 1 has been discussed by Lakshmikantham and Vatsala [16 18].

Very recently, some basic theory for initial value problem of fractional differential equations involving the Riemann-Liouville differential operators was discussed by Benchohra et al. [16], Agarwal et al. [17 19], Lakshmikantham [20], and Lakshmikantham and Vatsala [21, 22].

Some basic theory for the initial value problem of fractional differential (or evolution) equations was discussed in [1 10].

The problem of fractional differential equation was also studied [5 13].

The basic definitions of fractional calculus are given in Section 2, several test problems that show the effectiveness of the proposed method are given in Section 3, and finally the conclusion is given in Section 4.

The basic definitions of fractional calculus are given in Section 2, several test problems to show the effectiveness proposed method are given in Section 3, and finally the conclusion is given in Section 4.

We recall some basic concepts of fractional calculus and introduce the integral operator associated with the given problem in Sect. 2.