Mohamed Biomy

Fractional q-Starlikeness in Mittag–Leffler and Limaçon Domains

In this paper, we use a normalized fractional q-derivative operator, constructed by combining Jackson’s q-difference operator with a fractional q-integral, to introduce two subclasses of normalized analytic functions in the open unit disk whose fractional transforms are starlike...

Chebyshev Spectral Collocation with an Exact Operational Integration Matrix for Nonlinear Volterra–Hammerstein Equations

This paper proposes a Chebyshev spectral collocation method for nonlinear Volterra–Hammerstein integral equations of the second kind with smooth kernels. We approximate the unknown solution using a finite Chebyshev expansion and place collocation points at the Chebyshev–Gauss–Lob...