arXiv subjects

Hijaz Ahmad

Publications and source records attributed to Hijaz Ahmad.

3 recordsLinked to original sources

arXiv2024

Some fixed point theorems in generalized parametric metric spaces and applications to ordinary differential equations

The objective of this work is the construction of `Boyd-Wong fixed point theorem' in the setting of generalized parametric metric space and discussion its application on existence criteria of solutions to a second order initial value problem. Also an analogue of `Banach type fixed point theorem of generalized parametric metric space is proved and its application on the existence of a solution of first order periodic boundary value differential equation is examined.

math.GM↗

arXiv2023

Gamma-Bazilevic functions related with generalized telephone numbers

The purpose of this paper is to consider coefficient estimates in a class of functions $\mathfrak{G}_{\vartheta}^κ(\mathcal{X},\varkappa)$ consisting of analytic functions $f$ normalized by $f(0)=f'(0)-1=0$\ in the open unit disk $Δ=\{ z:z\in \mathbb{C}\quad \text{and}\quad \left\vert z\right\vert <1\}$ subordinating generalized telephone numbers, to derive certain coefficient estimates $a_2,a_3$ and Fekete-Szegö inequality for $f\in\mathfrak{G}_{\vartheta}^κ(\mathcal{X},\varkappa)$. A similar results have been done for the function $ f^{-1} $ and $\log\dfrac{f(z)}{z}.$Similarly application of our results to certain functions defined by using convolution products with a normalized analytic function is given, and in particular we state Fekete-Szeg"{o} inequalities for subclasses described through Poisson Borel and Pascal distribution series.

math.CV↗

arXiv2021

Nabla Fractional Derivative and Fractional Integral on Time Scales

In this paper, we introduce the nabla fractional derivative and fractional integral on time scales in the Riemann-Liouville sense. We also introduce the nabla fractional derivative in Grünwald-Letnikov sense. Some of the basic properties and theorems related to nabla fractional calculus are discussed.

math.GM↗