Author

M. Biomy

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Open access Oct 2026

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 and univalent. The first subclass, Sq,λ*...

H. Gissy, M. Biomy, Mirajul Haq et al. · Fractal and Fractional · 0 citations

Open access Oct 2026

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–Lobatto nodes. Conventional methods apply s...

M. Biomy · Computation · 0 citations