In recent years, a remarkably large number of inequalities involving the fractional q-integral operators have been investigated in the literature by many authors. Here, we aim to present some new fractional integral inequalities involving generalized Erdélyi-Kober fractional q-integral operator due to Gaulué, whose special cases are shown to yield corresponding inequalities associated with Kobe...

In this note the fractional analytic index, for a projective elliptic operator associated to an Azumaya bundle, of [4] is related to the equivariant index of [1, 5] for an associated transversally elliptic operator.

In this note the fractional analytic index, for a projective elliptic operator associated to an Azumaya bundle, of [5] is related to the equivariant index of [1, 6] for an associated transversally elliptic operator.

Translation and convolution associated with discrete wavelet transform are investigated using properties of Calderón-Zygmund operator and Riesz fractional integral operator. Dual convolution is also studied. The wavelet convolution is applied to approximate functions belonging to certain p L-spaces.

In this article, we obtain some subordination and superordination results involving Dziok-Srivastava linear operator and fractional integral operator for certain normalized analytic functions in the open unit disk.

Operator fractional Brownian motions (OFBMs) are (i) Gaussian, (ii) operator self-similar, and (iii) stationary increment processes. They are the natural multivariate generalizations of the well-studied fractional Brownian motions. Because of the possible lack of time reversibility, the defining properties (i)-(iii) do not, in general, characterize the covariance structure of OFBMs. To circumve...

The aim of this research is to explore fractional integral inequalities that involve interval-valued preinvex functions. Initially, a new set operators introduced uses the extended generalized Mittag-Leffler function Eμ,α,lγ,δ,k,c(τ;p) as kernel in interval domain. Additionally, form Atangana–Baleanu operator defined using same kernel, which unifies multiple existing operators. By varying param...