Fractional differential superordination

Subordination and Superordination for Certain Analytic Functions Containing Fractional Integral

The purpose of the present article is to derive some subordination and superordina-tion results for certain normalized analytic functions involving fractional integral operator. More-over, this result is applied to find a relation between univalent solutions for fractional differentialequation.Full textAcknowledgement. The work presented here was supported by eScienceFund<lb...

Differential subordination and superordination results associated with the Wright function

An operator associated with the Wright function is introduced in the open unit disk. Differential subordination and superordination results associated with this operator are obtained by investigating appropriate classes of admissible functions. In particular, some inequalities for modified Bessel functions are also obtained.

DIFFERENTIAL SUBORDINATION AND SUPERORDINATION RESULTS FOR p-VALENT ANALYTIC FUNCTIONS

Using the fractional integral operator D−λ z and generalized SrivastavaAttiya operator J s,b , we introduce and study some differential subordination and superordination results for p-valent analytic functions in the open unit disk. These results are obtained by investigating appropriate classes of admissible functions.

Fuzzy Local Fractional Differential Equations

Random fractional functional differential equations

In this paper, we prove the existence and uniqueness results to the random fractional functional differential equations under assumptions more general than the Lipschitz type condition. Moreover, the distance between exact solution and appropriate solution, and the existence extremal solution of the problem is also considered.