DOAJ Open Access 2025

A fractal-fractional gingerbread-man map generalized by p−fractal-fractional difference operator

R.W. Ibrahim S. Momani

Abstrak

By using the generalization of the gamma function (p−gamma function: Γp(.)), we introduce a generalization of the fractal-fractional calculus which is called p−fractal-fractional calculus. Examples are illustrated including the basic power functions. As applications, we formulate the p−fractal-fractional difference operators. A class of maps, called gingerbread-man maps, is investigated. We present a new idea of a stability for continuous system, based on three parameters. Sufficient conditions are illustrated to obtain the stability of the system.

Topik & Kata Kunci

Analysis Analytic mechanics Probabilities. Mathematical statistics

Penulis (2)

R.W. Ibrahim

S. Momani

Format Sitasi

APA MLA BibTeX

Ibrahim, R., Momani, S. (2025). A fractal-fractional gingerbread-man map generalized by p−fractal-fractional difference operator. https://doi.org/10.31489/2025m2/76-92

Akses Cepat

PDF tidak tersedia langsung

Cek di sumber asli →

Lihat di Sumber doi.org/10.31489/2025m2/76-92

Informasi Jurnal

Tahun Terbit: 2025
Sumber Database: DOAJ
DOI: 10.31489/2025m2/76-92
Akses: Open Access ✓