In this paper our aim is to establish new integral representations for the Fox–Wright function $${}_{p}\Psi_{q}[^{(\alpha_{p},A_{p})}_{(\beta_{q},B_{q})}|z]$$ when $$\mu=\sum_{j=1}^{q}\beta_{j}-\sum_{k=1}^{p}\alpha_{k}+\frac{p-q}{2}=-m,\;\;m\in\mathbb{N}_{0}.$$ particular, closed-form expressions are derived four parameter Wright under a special restriction on parameters. Exponential bounding i...

Recently, several authors have studied maps where a function, describing the local diffusion matrix of a diffusion process with a linear drift towards an attraction point, is mapped into the average of that function with respect to the unique invariant measure of the diffusion process, as a function of the attraction point. Such mappings arise in the analysis of infinite systems of diffusions i...

a significant portion of gross domestic production (gdp) in any country belongs to the transportation system. transportation equipment, in the other hand, is supposed to be great consumer of oil products. many attempts have been assigned to the vehicles to cut down greenhouse gas (ghg). in this paper a novel heuristic algorithm based on clark and wright algorithm called green clark and wright (...

In this paper, we defined new two-fractional derivative operators with a Wright function in their kernels. We also gave Laplace and inverse transforms. Then, presented some connections between the fractional operators. Furthermore, as examples, obtained solutions of differential equations involving Finally, examined relations operators, which can be found literature.

The Wright’s generalized hypergeometric function is used here to introduce a new class of p-valent functions WT p(λ, α, β) defined in the open unit disc and investigate its various characteristics. Further we obtain distortion bounds, extreme points and radii of close-to-convexity, starlikeness and convexity of functions belonging to the class WT p(λ, α, β).

This paper is based upon incomplete fractional calculus and with the help of this, derived fractionalcalculus formula for Mittag-Leffler function. The results obtained are found in form ofincomplete Wright function hypergeometric