Solutions of fractional diffusion problems.
Existence of convex and non convex local solutions for fractional differential inclusions.
On new classes of univalent harmonic functions defined by generalized differential operator.
On generalisation of polynomials in complex plane.
On classes of functions in the unit disk.
Upper and lower bounds of solutions for fractional integral equations.
New classes of analytic functions involving generalized noor integral operator.
Differential subordination results for new classes of the family .
Classes of meromorphic functions with respect to N-symmetric points.
On a class of analytic functions generated by fractional integral operator
In this note, we improve the idea of the Tsallis entropy in a complex domain. This improvement is contingent on the fractional operator in a complex domain (type Alexander). We clarify some new classes of analytic functions, which are planned in view of the geometry function theory. This category of entropy is called fractional entropy; accordingly, we demand them fractional entropic geometry classes. Other geometric properties are established in the sequel. Our exhibition is supported by the Maxwell...
On certain univalent class associated with functions of non-Bazilevič type
Holomorphic solution for classes of forced Korteweg-de Vries equations of fractional order
Inequalities involving a class of analytic functions
On certain linear operator defined by basic hypergeometric functions
Radius estimates of a subclass of univalent functions
Third-order differential subordination and superordination involving a fractional operator
The third-order differential subordination and the corresponding differential superordination problems for a new linear operator convoluted the fractional integral operator with the Carlson-Shaffer operator, are investigated in this study. The new operator satisfies the required first-order differential recurrence (identity) relation. This property employs the subordination and superordination methodology. Some classes of admissible functions are determined, and these significant classes are exploited...
Upper and lower bounds of integral operator defined by the fractional hypergeometric function
In this article, we impose some studies with applications for generalized integral operators for normalized holomorphic functions. By using the further extension of the extended Gauss hypergeometric functions, new subclasses of analytic functions containing extended Noor integral operator are introduced. Some characteristics of these functions are imposed, involving coefficient bounds and distortion theorems. Further, sufficient conditions for subordination and superordination are illustrated.
On subordination for classes of non-Bazilevic type
We give some subordination results for new classes of normalized analytic functions containing differential operator of non-Bazilevic type in the open unit disk. By using Jack’s lemma, sufficient conditions for this type of operator are also discussed.
Inequalities of harmonic univalent functions with connections of hypergeometric functions
Let SH be the class of functions f = h+g that are harmonic univalent and sense-preserving in the open unit disk U = { z : |z| < 1} for which f (0) = f'(0)-1=0. In this paper, we introduce and study a subclass H( α, β) of the class SH and the subclass NH( α, β) with negative coefficients. We obtain basic results involving sufficient coefficient conditions for a function in the subclass H( α, β) and we show that these conditions are also necessary for negative coefficients, distortion bounds, extreme...
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